Name: Progress of Theoretical Bootstrap
Start: 2025-10-27T08:30:00+09:00
End: 2025-11-28T18:00:00+09:00
Location: YITP

Monday, October 27, 2025

8:30 AM Registration
Registration
8:30 AM - 9:20 AM
Room: Panasonic Auditorium, Yukawa Hall

9:20 AM Opening
Opening
9:20 AM - 9:40 AM
Room: Panasonic Auditorium, Yukawa Hall

10:45 AM Coffee
Coffee
10:45 AM - 11:30 AM
Room: Panasonic Auditorium, Yukawa Hall

1:00 PM lunch
lunch
1:00 PM - 2:45 PM
Room: Panasonic Auditorium, Yukawa Hall

3:30 PM coffee
coffee
3:30 PM - 4:00 PM
Room: Panasonic Auditorium, Yukawa Hall

6:00 PM Banquet
Banquet
6:00 PM - 8:00 PM
Room: Panasonic Auditorium, Yukawa Hall
Tuesday, October 28, 2025

9:00 AM Coffee break
Coffee break
9:00 AM - 9:45 AM
Room: Panasonic Auditorium, Yukawa Hall

11:00 AM Lunch
Lunch
11:00 AM - 1:00 PM
Room: Panasonic Auditorium, Yukawa Hall

2:00 PM Coffee break
Coffee break
2:00 PM - 2:30 PM
Room: Panasonic Auditorium, Yukawa Hall
Wednesday, October 29, 2025

11:30 AM Lunch
Lunch
11:30 AM - 1:00 PM
Room: Panasonic Auditorium, Yukawa Hall

2:00 PM Coffee break
Coffee break
2:00 PM - 2:30 PM
Room: Panasonic Auditorium, Yukawa Hall
Thursday, October 30, 2025

9:30 AM Coffee break
Coffee break
9:30 AM - 10:00 AM
Room: Panasonic Auditorium, Yukawa Hall

11:30 AM Lunch
Lunch
11:30 AM - 1:00 PM
Room: Panasonic Auditorium, Yukawa Hall

2:30 PM Coffee break
Coffee break
2:30 PM - 3:00 PM
Room: Panasonic Auditorium, Yukawa Hall
Friday, October 31, 2025

11:30 AM Lunch
Lunch
11:30 AM - 1:00 PM
Room: Panasonic Auditorium, Yukawa Hall

2:00 PM Coffee break
Coffee break
2:00 PM - 2:30 PM
Room: Panasonic Auditorium, Yukawa Hall
Saturday, November 1, 2025
Sunday, November 2, 2025

Monday, November 10, 2025

10:30 AM Coffee break
Coffee break
10:30 AM - 11:00 AM
Room: Panasonic Auditorium, Yukawa Hall

11:00 AM David Poland "This is the Moment"
David Poland "This is the Moment"
11:00 AM - 12:00 PM
Room: Panasonic Auditorium, Yukawa Hall

12:00 PM Lunch
Lunch
12:00 PM - 2:00 PM
Room: Panasonic Auditorium, Yukawa Hall

2:00 PM Volker Schomerus "Conformal data from thermal correlators"
Volker Schomerus "Conformal data from thermal correlators"
2:00 PM - 3:00 PM
Room: Panasonic Auditorium, Yukawa Hall

3:00 PM Coffee break
Coffee break
3:00 PM - 3:30 PM
Room: Panasonic Auditorium, Yukawa Hall

3:30 PM Sridip Pal "Universality of spectrum at large spin in non-rational 2D CFT"
Sridip Pal "Universality of spectrum at large spin in non-rational 2D CFT"
3:30 PM - 4:30 PM
Room: Panasonic Auditorium, Yukawa Hall Abstract: In a unitary 2D modular invariant CFT, the high-energy density of states is universal and follows the famous Cardy formula, the precise version of which requires an averaging over an order-one window. In non-rational 2D CFTs, an extended version of the Cardy formula exists for the density of states with finite twist and large spin. In this talk, we will answer in which sense this extended formula gives a coarse-grained approximation of finite twist, large spin density of states. In particular, using elementary complex analysis methods, we prove that 1) the averaging over spin is NOT required and 2) if appropriately smeared over a window of twist, the extended Cardy formula is valid up to O(J^{-N}) for any N>0. This is much stronger/universal than the usual Cardy formula at large energy. Furthermore, by making the size of twist-window shrinking to 0 as J \to\ infty, we prove that the spectrum is dense in the large spin limit i.e, the spacing of operators with large spin and twist lying in a bound subinterval of ((c-1)/12,\infty) goes to 0 at least as fast as J^{-1/4} as J\to\infty. This is based on work with Jiaxin Qiao, Balt C van Rees, arXiv: 2505.02897

6:00 PM

6:00 PM - 8:00 PM
Tuesday, November 11, 2025

9:30 AM Dalimil Mazac " L-functions and the conformal bootstrap"
Dalimil Mazac " L-functions and the conformal bootstrap"
9:30 AM - 10:30 AM
Room: Panasonic Auditorium, Yukawa Hall Recently, a close parallel emerged between conformal field theory in general dimension and the theory of automorphic forms. I will review this connection and explain how it can be leveraged to make rigorous progress on central open problems of number theory, using methods borrowed from the conformal bootstrap. In particular, I will use the crossing equation to prove new subconvex bounds on L-functions. Based on work with Adve, Bonifacio, Kravchuk, Pal, Radcliffe, and Rogelberg: https://arxiv.org/abs/2508.20576.

10:30 AM Coffee break
Coffee break
10:30 AM - 11:00 AM
Room: Panasonic Auditorium, Yukawa Hall

11:00 AM Shiraz Minwalla "Semi-universality of CFT$_d$ entropy at large J"
Shiraz Minwalla "Semi-universality of CFT$_d$ entropy at large J"
11:00 AM - 12:00 PM
Room: Panasonic Auditorium, Yukawa Hall

12:00 PM Lunch
Lunch
12:00 PM - 2:00 PM
Room: Panasonic Auditorium, Yukawa Hall

2:00 PM Yuto Moriwaki "2d Conformal bootstrap equation and axiomatic QFT"
Yuto Moriwaki "2d Conformal bootstrap equation and axiomatic QFT"
2:00 PM - 3:00 PM
Room: Panasonic Auditorium, Yukawa Hall Axiomatic quantum field theory is a mathematically rigorous formulation of quantum field theory proposed in the 1950s. Notable frameworks include the Wightman axioms for quantum fields on Minkowski spacetime and the Osterwalder-Schrader axioms, formulated via Schwinger functions on Euclidean spacetime. In this talk, based on joint work with M. S. Adamo and Y. Tanimoto, we will discuss how, in two dimensions, one can construct an axiomatic QFT from the bootstrap equations under the assumption that the theory enjoys a sufficiently large chiral symmetry.

3:00 PM Coffee break
Coffee break
3:00 PM - 3:30 PM
Room: Panasonic Auditorium, Yukawa Hall
Wednesday, November 12, 2025

9:30 AM Vasileios Niarchos "Deep Finite Temperature Bootstrap"
Vasileios Niarchos "Deep Finite Temperature Bootstrap"
9:30 AM - 10:30 AM
Room: Panasonic Auditorium, Yukawa Hall

10:30 AM Coffee break
Coffee break
10:30 AM - 11:00 AM
Room: Panasonic Auditorium, Yukawa Hall

11:00 AM Parijat Dey "Towards bootstrapping de Sitter correlators"
Parijat Dey "Towards bootstrapping de Sitter correlators"
11:00 AM - 12:00 PM
Room: Panasonic Auditorium, Yukawa Hall Towards bootstrapping de Sitter correlators

12:00 PM Lunch
Lunch
12:00 PM - 2:00 PM
Room: Panasonic Auditorium, Yukawa Hall

2:00 PM Nathan Benjamin "Scalar partition functions in 2d CFTs"
Nathan Benjamin "Scalar partition functions in 2d CFTs"
2:00 PM - 3:00 PM
Room: Panasonic Auditorium, Yukawa Hall

3:00 PM Coffee break
Coffee break
3:00 PM - 3:30 PM
Room: Panasonic Auditorium, Yukawa Hall
Thursday, November 13, 2025

9:30 AM Denis Karateev "Bounds on Conserved Currents in 4d CFTs"
Denis Karateev "Bounds on Conserved Currents in 4d CFTs"
9:30 AM - 10:30 AM
Room: Panasonic Auditorium, Yukawa Hall I will discuss recent progress in constraining four-dimensional conformal field theories with Abelian conserved currents using the conformal bootstrap. After setting up the bootstrap problem for the four-point function of U(1) currents, I will present numerical bounds on operator dimensions and on physical quantities such as the ratio between the ’t Hooft anomaly and the current central charge. Finally, I will describe recent developments in the automatic construction of spinning conformal blocks in 4d, which enable systematic bootstrap analyses involving non-Abelian conserved currents and stress tensors.

10:30 AM Coffee break
Coffee break
10:30 AM - 11:00 AM
Room: Panasonic Auditorium, Yukawa Hall

11:00 AM Valentina Prilepina "Illuminating CFTs with the Higher-Point Bootstrap: A Powerful Approach"
Valentina Prilepina "Illuminating CFTs with the Higher-Point Bootstrap: A Powerful Approach"
11:00 AM - 12:00 PM
Room: Panasonic Auditorium, Yukawa Hall In this talk, I will present a practical realization of the higher-point conformal bootstrap, focusing on the five-point comb channel implementation thereof. I will consider 5-point scalar correlators in d-dimensional conformal field theories (CFTs). I will begin by laying out a robust algorithm for the efficient numeri- cal evaluation of conformal blocks for exchanged primary operators of arbitrary spin. I will then describe an explicit implementation of the 5-point bootstrap. With this, I will proceed to study 5-point correlators in the 3d critical Ising model. I will examine correlators involving \sigma, and \epsilon, truncating the oper-ator product expansion (OPE) to include contributions due to operators with conformal dimension below a certain cutoff. In each case, I will approximate the remaining contributions by their counterparts in a suitable disconnected five-point correlator. Finally, I will discuss the results obtained through the five-point bootstrap for a number of OPE coefficients involving two or more spinning oper- ators. While these coefficients are nontrivial to access by means of the four-point bootstrap, they are within ready reach of the higher-point bootstrap, where we are able to compute a number of OPE coefficients with greater accuracy than previous methods. I will compare some newly-determined OPE coefficients to corresponding results from the four-point bootstrap and the fuzzy sphere regu- larization technique. At the end, I will give a preview of the six-point snowflake channel implementation of this method. This analysis will ultimately establish the higher-point bootstrap as a powerful tool for studying CFTs.

12:00 PM Lunch
Lunch
12:00 PM - 2:00 PM
Room: Panasonic Auditorium, Yukawa Hall

2:00 PM Fabiana De Cesare "Disturbing news about the 2+epsilon expansion"
Fabiana De Cesare "Disturbing news about the 2+epsilon expansion"
2:00 PM - 3:00 PM
Room: Panasonic Auditorium, Yukawa Hall The O(N) Non-Linear Sigma Model (NLSM) in d=2+epsilon has long been conjectured to describe the same conformal field theory as the Wilson-Fisher O(N) fixed point obtained from the (phi^2)^2 model in d=4-epsilon. In this talk, we put this conjecture into question, building on the recent observation [Jones,2024] that the NLSM CFT possesses a protected operator with dimension N-1, which is instead absent in the WF O(N) CFT. We propose several scenarios that may explain this discrepancy.

3:00 PM Coffee break
Coffee break
3:00 PM - 3:30 PM
Room: Panasonic Auditorium, Yukawa Hall
Friday, November 14, 2025

9:30 AM Zechuan Zheng " The Analytic Functional in the Numerical Conformal Bootstrap"
Zechuan Zheng " The Analytic Functional in the Numerical Conformal Bootstrap"
9:30 AM - 10:30 AM
Room: Panasonic Auditorium, Yukawa Hall

10:30 AM Coffee break
Coffee break
10:30 AM - 11:00 AM
Room: Panasonic Auditorium, Yukawa Hall

11:00 AM Wenliang Li "Accurate boundary bootstrap for the 3d O(N) normal universality class"
Wenliang Li "Accurate boundary bootstrap for the 3d O(N) normal universality class"
11:00 AM - 12:00 PM
Room: Panasonic Auditorium, Yukawa Hall Accurate boundary bootstrap for the 3d O(N) normal universality class

12:00 PM Lunch
Lunch
12:00 PM - 2:00 PM
Room: Panasonic Auditorium, Yukawa Hall

2:00 PM Shai Chester "Bootstrapping critical 3d gauge theories"
Shai Chester "Bootstrapping critical 3d gauge theories"
2:00 PM - 3:00 PM
Room: Panasonic Auditorium, Yukawa Hall We consider the simplest class of 3d gauge theories, which is N complex scalar fields coupled to an Abelian gauge field. For large N this theory is known to flow to a CFT with SU(N)xU(1) symmetry, but for finite N there is controversy in the literature. The N=2 case is particularly famous, as its believed to describe the Neel-VBS phase transition, which might be experimentally realizable. Previous lattice studies suggested the SU(2)xU(1) symmetry is enhanced to SO(5), but the assumption of no relevant SO(5) singlet was ruled out by the bootstrap. We perform a bootstrap study assuming SO(5) symmetry, and find a point on the boundary of the allowed region that matches large N predictions, and was recently confirmed by a newer lattice study. We also perform a bootstrap study of the N=3 theory, and find a point on the boundary of the allowed region that matches large N, large charge, and lattice predictions.

3:00 PM Coffee break
Coffee break
3:00 PM - 3:30 PM
Room: Panasonic Auditorium, Yukawa Hall
Saturday, November 15, 2025
Sunday, November 16, 2025

Monday, November 17, 2025

9:30 AM Guilherme L. Pimentel "Overview of Cosmological Correlators"
Guilherme L. Pimentel "Overview of Cosmological Correlators"
9:30 AM - 10:30 AM
Room: Panasonic Auditorium, Yukawa Hall

10:30 AM coffee
coffee
10:30 AM - 11:00 AM
Room: Panasonic Auditorium, Yukawa Hall

11:00 AM Yu-tin Huang "When gravity meets narrow resonances"
Yu-tin Huang "When gravity meets narrow resonances"
11:00 AM - 12:00 PM
Room: Panasonic Auditorium, Yukawa Hall

12:00 PM lunch
lunch
12:00 PM - 2:00 PM
Room: Panasonic Auditorium, Yukawa Hall

2:00 PM David Stefanyszyn
David Stefanyszyn
2:00 PM - 3:00 PM
Room: Panasonic Auditorium, Yukawa Hall

3:00 PM coffee
coffee
3:00 PM - 3:30 PM
Room: Panasonic Auditorium, Yukawa Hall

3:30 PM Xi Tong "Unitary renormalisation and the quantum breaking of cosmological reality"
Xi Tong "Unitary renormalisation and the quantum breaking of cosmological reality"
3:30 PM - 4:30 PM
Room: Panasonic Auditorium, Yukawa Hall Abstract: Cosmological correlators and the associated wavefunction coefficients serve as a smoking gun towards the physics of inflation at high energy scales. In minimal setups of single-field inflation, wavefunction coefficients are purely real at tree-level due to unitarity, locality and scale invariance, leading to the so-called no-go theorems on parity violation. Such parity-violating correlators are therefore null tests of fundamental principles. Yet interestingly, there exists a twist of plot when quantum loops are involved. We show that such cosmological reality must be spontaneously broken by the renormalisation of UV divergences in de Sitter loops. More specifically, unitarity and analyticity dictate a universal imaginary part from the logarithmic running of the real part of the wavefunction coefficients. We then discuss the implications related to this universality.
Tuesday, November 18, 2025

9:30 AM Alexander Zhiboedov "Scattering on the Coulomb Branch of N=4 SYM"
Alexander Zhiboedov "Scattering on the Coulomb Branch of N=4 SYM"
9:30 AM - 10:30 AM
Room: Panasonic Auditorium, Yukawa Hall

10:30 AM Coffee
Coffee
10:30 AM - 11:00 AM
Room: Panasonic Auditorium, Yukawa Hall

11:00 AM Hayden Lee "A Hidden Pattern in Cosmological Correlators" (online)
Hayden Lee "A Hidden Pattern in Cosmological Correlators" (online)
11:00 AM - 12:00 PM
Room: Panasonic Auditorium, Yukawa Hall

12:00 PM Lunch
Lunch
12:00 PM - 2:00 PM
Room: Panasonic Auditorium, Yukawa Hall

2:00 PM Shota Komatsu "No Shift, Sherlock"
Shota Komatsu "No Shift, Sherlock"
2:00 PM - 3:00 PM
Room: Panasonic Auditorium, Yukawa Hall

3:00 PM Coffee
Coffee
3:00 PM - 3:30 PM
Room: Panasonic Auditorium, Yukawa Hall

3:30 PM Lucia Gomez Cordova "S-matrix Bootstrap and non-invertible symmetries"
Lucia Gomez Cordova "S-matrix Bootstrap and non-invertible symmetries"
3:30 PM - 4:30 PM
Room: Panasonic Auditorium, Yukawa Hall
Wednesday, November 19, 2025

9:30 AM Charlotte Sleight "Holograms in the Sky from EAdS"
Charlotte Sleight "Holograms in the Sky from EAdS"
9:30 AM - 10:30 AM
Room: Panasonic Auditorium, Yukawa Hall

10:30 AM Coffee
Coffee
10:30 AM - 11:00 AM
Room: Panasonic Auditorium, Yukawa Hall

11:00 AM Massimo Taronna
Massimo Taronna
11:00 AM - 12:00 PM
Room: Panasonic Auditorium, Yukawa Hall

12:00 PM Lunch
Lunch
12:00 PM - 2:00 PM
Room: Panasonic Auditorium, Yukawa Hall

2:00 PM Vladimir Rosenhaus "Renormalization Group in far-from-equilibrium states"
Vladimir Rosenhaus "Renormalization Group in far-from-equilibrium states"
2:00 PM - 3:00 PM
Room: Panasonic Auditorium, Yukawa Hall

3:00 PM Coffee
Coffee
3:00 PM - 3:30 PM
Room: Panasonic Auditorium, Yukawa Hall

3:30 PM Martin Kruczenski "The Gauge Theory Bootstrap: Predicting pion dynamics from QCD"
Martin Kruczenski "The Gauge Theory Bootstrap: Predicting pion dynamics from QCD"
3:30 PM - 4:30 PM
Room: Panasonic Auditorium, Yukawa Hall Abstract: The Gauge Theory Bootstrap computes the strongly coupled pion dynamics by considering the most general scattering matrix, form factors and spectral densities and matching them with perturbative QCD at high energy and with weakly coupled pions at low energy. In this talk (based on https://arxiv.org/abs/2505.19332 with Yifei He, ENS, Paris), we show that further constraints on the spectral densities significantly reduce the possible solutions to a small set of qualitatively similar ones. Quantitatively, the precise solution is controlled by the asymptotic value of the form factors and SVZ sum rules. We also introduce an iterative procedure that, starting from a generic feasible point, converges to a unique solution parameterized by the UV input. For the converged solution we compute masses and widths of resonances that appear, scattering lengths and effective ranges of partial waves, low energy coefficients in the effective action. Additionally, we use these results to discuss the thermodynamics of a pion gas including pair correlations of pions with same and opposite charge.
Thursday, November 20, 2025

9:30 AM Balt van Rees "The flat-space limit of gapped QFTs in AdS"
Balt van Rees "The flat-space limit of gapped QFTs in AdS"
9:30 AM - 10:30 AM
Room: Panasonic Auditorium, Yukawa Hall

10:30 AM Coffee
Coffee
10:30 AM - 11:00 AM
Room: Panasonic Auditorium, Yukawa Hall

11:00 AM Lorenzo Di Pietro "QCD in AdS"
Lorenzo Di Pietro "QCD in AdS"
11:00 AM - 12:00 PM
Room: Panasonic Auditorium, Yukawa Hall

12:00 PM Lunch
Lunch
12:00 PM - 2:00 PM
Room: Panasonic Auditorium, Yukawa Hall

2:00 PM Zhong-Zhi Xianyu "Massive Inflationary Correlators and Family Trees"
Zhong-Zhi Xianyu "Massive Inflationary Correlators and Family Trees"
2:00 PM - 3:00 PM
Room: Panasonic Auditorium, Yukawa Hall

3:00 PM Coffee
Coffee
3:00 PM - 3:30 PM
Room: Panasonic Auditorium, Yukawa Hall

7:00 PM Banquet
Banquet
7:00 PM - 9:00 PM
Friday, November 21, 2025

9:30 AM Joan Elias Miro "Thermal partition function from the S-matrix reloaded"
Joan Elias Miro "Thermal partition function from the S-matrix reloaded"
9:30 AM - 10:30 AM
Room: Panasonic Auditorium, Yukawa Hall

10:30 AM Coffee
Coffee
10:30 AM - 11:00 AM
Room: Panasonic Auditorium, Yukawa Hall

11:00 AM Anna Tokareva "Gravity is weak: consistency constraints on gravitational EFTs"
Anna Tokareva "Gravity is weak: consistency constraints on gravitational EFTs"
11:00 AM - 12:00 PM
Room: Panasonic Auditorium, Yukawa Hall

12:00 PM Lunch
Lunch
12:00 PM - 2:00 PM
Room: Panasonic Auditorium, Yukawa Hall

2:00 PM Shuntaro Aoki "From Multi-Exchange Signals to Model Building in Cosmological Correlators"
Shuntaro Aoki "From Multi-Exchange Signals to Model Building in Cosmological Correlators"
2:00 PM - 3:00 PM
Room: Panasonic Auditorium, Yukawa Hall

3:00 PM Coffee
Coffee
3:00 PM - 3:30 PM
Room: Panasonic Auditorium, Yukawa Hall

3:30 PM Dong-Gang Wang "Infrared Divergences in de Sitter: wavefunction, density matrix and stochastic inflation"
Dong-Gang Wang "Infrared Divergences in de Sitter: wavefunction, density matrix and stochastic inflation"
3:30 PM - 4:30 PM
Room: Panasonic Auditorium, Yukawa Hall
Saturday, November 22, 2025
Sunday, November 23, 2025