Progress of Theoretical Bootstrap

Contribution List

137. Registration

10/27/25, 8:30 AM

138. Opening

10/27/25, 9:20 AM

176. Opening

11/4/25, 10:50 AM

157. Slava Rychkov "The renaissance of axiomatic methods in quantum field theory"

11/4/25, 11:00 AM

The textbook approach to quantum field theory is to start from
the Lagrangian and then either do perturbation theory or, if the theory
is strongly coupled, resort to lattice Monte Carlo simulations. Recently
there has been renewed interest in developing and applying “bootstrap
methods”, which have different spirit. They use nonperturbatively valid
“axioms” to obtain concrete numerical...

177. Alessandro Piazza "Bootstrap bounds on Yang-Mills in AdS"

11/4/25, 2:30 PM

Yang-Mills theory in AdS_4 with Dirichlet boundary conditions is expected to undergo a deconfinement-confinement transition as the AdS radius varies, as the global symmetry of the boundary CFT cannot hold in flat space. We apply the conformal bootstrap to four-point functions of non-abelian conserved currents in 3d to place bounds on proposed mechanisms for the transition. We rule out the...

182. Free discussion

11/4/25, 3:30 PM

158. Andreas Stergiou "Redundancy Channels in the Conformal Bootstrap"

11/5/25, 11:00 AM

178. Marten Reehorst " Bootstrapping the Simplest Deconfined Quantum Critical Point"

11/5/25, 2:00 PM

We study the $N=3$ case of the $NCCP^{N-1}$ model, which is a field theory of $N$ complex scalars in 3d coupled to an Abelian gauge field with $SU(N)\times U(1)$ global symmetry. Recent evidence suggests the $N=2$ theory is not critical, which makes the $N=3$ theory the simplest possibility of deconfined quantum criticality. We apply the conformal bootstrap to correlators of charge $q=0,1,2$...

179. Yuan Xin "Yang-Lee Criticality in Various Dimension" (online)

11/5/25, 2:30 PM

Yang-Lee criticality is the simplest non-Hermitian conformal field theory. The model was first reported as a phase transition of Ising model in imaginary longitudinal magnetic field more than half a centry ago. Since then, many qualitative and quantitative properties of YL criticality have been studied, remarkably, including the fact that the model can be described in Landau-Ginzburg scheme...

175. Poster Session

11/5/25, 3:30 PM

Stanislav Filatov "Geometry of Two-Qubit Entanglement on Two Bloch Spheres"
Yuma Furuta "On the quadratic equations for detecting duality symmetries of compact boson CFTs"
Samuel Laliberte "Quantum mechanics bootstrap and supersymmetry"
Yuefeng Liu "Bootstrap about new crosscap states and non-invertible symmetry"
Souparna Nath "Complexity Growth, Krylov-Wigner function and...

159. Petr Kravchuk "Non-linearly realized symmetries, anomalies, and defect four-point functions"

11/6/25, 11:00 AM

180. Francesco Bertucci "Bootstrapping Euclidean lattices"

11/6/25, 2:00 PM

181. Jiaxin Qiao "QFT as a set of ordinary differential equations"

11/6/25, 2:30 PM

I will discuss quantum field theories (QFTs) on hyperbolic surface (i.e. Euclidean AdS2) with a conformal boundary condition. Correlation functions of local operators in such QFTs can be fully characterized by the QFT data: (1) scaling dimensions of boundary operators, (2) boundary operator product expansion (OPE) coefficients, and (3) boundary operator expansion (BOE) coefficients for bulk...

183. Free discussion

11/6/25, 3:30 PM

184. Sinya Aoki "Derivation of the GKP-Witten relation by symmetry without Lagrangian"

11/7/25, 2:00 PM

185. Wataru Harada "New Crosscap States with Non-Invertible Symmetry in RCFT"

11/7/25, 2:30 PM

186. Shim'on Sukholuski "Conformal Dispersion Relation for Mixed Correlators"

11/7/25, 3:00 PM

160. David Poland "This is the Moment"

11/10/25, 11:00 AM

161. Volker Schomerus "Conformal data from thermal correlators"

11/10/25, 2:00 PM

162. Sridip Pal "Universality of spectrum at large spin in non-rational 2D CFT"

11/10/25, 3:30 PM

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...

163. Dalimil Mazac " L-functions and the conformal bootstrap"

11/11/25, 9:30 AM

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...

164. Shiraz Minwalla "Semi-universality of CFT$_d$ entropy at large J"

11/11/25, 11:00 AM

165. Yuto Moriwaki "2d Conformal bootstrap equation and axiomatic QFT"

11/11/25, 2:00 PM

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...

166. Vasileios Niarchos "Deep Finite Temperature Bootstrap"

11/12/25, 9:30 AM

167. Parijat Dey "Towards bootstrapping de Sitter correlators"

11/12/25, 11:00 AM

Towards bootstrapping de Sitter correlators

168. Nathan Benjamin "Scalar partition functions in 2d CFTs"

11/12/25, 2:00 PM

169. Denis Karateev "Bounds on Conserved Currents in 4d CFTs"

11/13/25, 9:30 AM

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...

170. Valentina Prilepina "Illuminating CFTs with the Higher-Point Bootstrap: A Powerful Approach"

11/13/25, 11:00 AM

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...

171. Fabiana De Cesare "Disturbing news about the 2+epsilon expansion"

11/13/25, 2:00 PM

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...

172. Zechuan Zheng " The Analytic Functional in the Numerical Conformal Bootstrap"

11/14/25, 9:30 AM

173. Wenliang Li "Accurate boundary bootstrap for the 3d O(N) normal universality class"

11/14/25, 11:00 AM

Accurate boundary bootstrap for the 3d O(N) normal universality class

174. Shai Chester "Bootstrapping critical 3d gauge theories"

11/14/25, 2:00 PM

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....

187. Guilherme L. Pimentel "Overview of Cosmological Correlators"

11/17/25, 9:30 AM

188. Yu-tin Huang "When gravity meets narrow resonances"

11/17/25, 11:00 AM

189. David Stefanyszyn

11/17/25, 2:00 PM

190. Xi Tong "Unitary renormalisation and the quantum breaking of cosmological reality"

11/17/25, 3:30 PM

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...

191. Alexander Zhiboedov "Scattering on the Coulomb Branch of N=4 SYM"

11/18/25, 9:30 AM

192. Hayden Lee "A Hidden Pattern in Cosmological Correlators" (online)

11/18/25, 11:00 AM

193. Shota Komatsu "No Shift, Sherlock"

11/18/25, 2:00 PM

194. Lucia Gomez Cordova "S-matrix Bootstrap and non-invertible symmetries"

11/18/25, 3:30 PM

195. Charlotte Sleight "Holograms in the Sky from EAdS"

11/19/25, 9:30 AM

196. Massimo Taronna

11/19/25, 11:00 AM

197. Vladimir Rosenhaus "Renormalization Group in far-from-equilibrium states"

11/19/25, 2:00 PM

198. Martin Kruczenski "The Gauge Theory Bootstrap: Predicting pion dynamics from QCD"

11/19/25, 3:30 PM

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...

199. Balt van Rees "The flat-space limit of gapped QFTs in AdS"

11/20/25, 9:30 AM

200. Lorenzo Di Pietro "QCD in AdS"

11/20/25, 11:00 AM

201. Zhong-Zhi Xianyu "Massive Inflationary Correlators and Family Trees"

11/20/25, 2:00 PM

202. Joan Elias Miro "Thermal partition function from the S-matrix reloaded"

11/21/25, 9:30 AM

203. Anna Tokareva "Gravity is weak: consistency constraints on gravitational EFTs"

11/21/25, 11:00 AM

204. Shuntaro Aoki "From Multi-Exchange Signals to Model Building in Cosmological Correlators"

11/21/25, 2:00 PM

205. Dong-Gang Wang "Infrared Divergences in de Sitter: wavefunction, density matrix and stochastic inflation"

11/21/25, 3:30 PM

206. Ning Su "Bootstrapping the pion scattering problem"

11/25/25, 11:00 AM

207. Arnab Priya Saha "Bootstrapping string amplitudes"

11/25/25, 2:00 PM

208. Felipe Figueroa Vilar "Progress on Regge theory for Dual Model amplitudes"

11/25/25, 2:30 PM

209. Andrea Cristofoli "The Common On-Shell Language of Black Hole Mergers and Radiation"

11/26/25, 11:00 AM

Abstract: The two-body problem in general relativity can be described — in the post-Minkowskian expansion — purely in terms of on-shell amplitudes and their classical limit, without ever invoking a Lagrangian or equations of motion. However, beyond this perturbative regime, it is not known whether more complex aspects of binary dynamics — such as the merger phase or the influence of event...

210. Arundhati Goldar "Bulk Reconstruction in De Sitter Spacetime"

11/26/25, 2:00 PM

211. Harry Goodhew "Geometry of the Kinematic Flow"

11/26/25, 2:30 PM

212. Aditya Hebbar "S-matrix bounds from the conformal bootstrap"

11/26/25, 3:00 PM

213. Poster Session

11/26/25, 4:00 PM

Chen-Hsuan Hsu, "Electron-electron and electron-phonon scattering-driven topological phase transitions in helical liquids"
Damien Leflot,
Facundo Rost ,"The Cosmological Grassmannian"
Guangzhuo Peng, "Running EFT-hedron with null constraints at loop level"
Kamran Salehi Vaziri. "Non-perturbative cosmological bootstrap: A construction of de Sitter late-time boundary"
Mang Hei Gordon Lee,...

214. Piotr Tourkine "The S-matrix bootstrap: UV completion, multi-particle screening, and space of the space theories"

11/27/25, 11:00 AM

215. Carlos Duaso Pueyo "Boostless cosmological collider bootstrap of tensor bispectra"

11/27/25, 2:00 PM

216. Yu Wenqi "On the IR dependence, conformal anomaly and renormalization of de Sitter correlators"

11/27/25, 2:30 PM

217. Xi Yin "Revisiting matrix string theory"

11/28/25, 11:00 AM

218. Discussions

11/28/25, 2:00 PM