I will present the derivation of the AdS Veneziano amplitude for the scattering of gluons in type IIB string theory on AdS5×S5/Z2in the presence of D7 branes, in a small curvature expansion. This is achieved by combining a dispersion relation in the dual 4d N=2 SCFT with an ansatz for the amplitude as an open string worldsheet integral over single-valued polylogarithmic functions evaluated on...
When studying string scattering in flat space, we rely on a world-sheet description, yet extending this to curved backgrounds poses nontrivial challenges. In this talk, we discuss how to compute string amplitudes on AdS as a curvature expansion around flat space and emphasize the pivotal role of single valuedness, akin to its significance in flat space. Specifically, we focus on the AdS...
I will discuss a differential representation for holographic four-point correlators. In this representation, the correlators are given by acting differential operators on certain seed functions. The number of these functions is much smaller than what is normally seen in known examples of holographic correlators, and all of them have simple Mellin amplitudes. This representation establishes a...
We consider a set of 4d N=2 SCFTs defined by N D3 branes probing F-theory singularities with constant value of the axio-dilaton. In these theories we focus on the four-point function of the moment map operator at large N, which is holographically dual to a gluon amplitude in AdS_5 x S^3. We use the relation between a certain integral of the correlator to the mass-deformed sphere free energy of...
We consider matter correlators in the double-scaled SYK (DSSYK) model. It turns out that matter correlators have a simple expression in terms of the doubled Hilbert space
$\mathcal{H}\otimes\mathcal{H}$, where $\mathcal{H}$ is the Fock space of $q$-deformed oscillator (also known as the chord Hilbert space).
In this formalism, we find that the operator which counts the intersection of chords...
The study of the double copy relating gluon to graviton amplitudes and their soft limits has been a major driving force in the study of scattering amplitudes in flat space. I will describe recent progress in generalising these ideas to (A)dS, which may have interesting implications for holography and cosmology.
In this talk we study a theory of M2-branes with mass deformations. The Fermi gas formalism allows us to calculate all order 1/N corrections to the partition function when mass parameters are small, for which this model is getting attention in various different
contexts such as matrix model and integrable systems, precision holography and conformal bootstrap. Recently, motivated by the...
Localization allows to compute via a matrix model integrated forms of correlators, such as a 4-point function or a two-point function in presence of a defect, whose coordinate dependence is not fixed by conformal symmetry. These correlators are interesting as they holographically dual to scattering processes in AdS5 and the integrated results extend the data for a bootstrap reconstruction. In...
I will review 4-pnt half BPS correlators in planar N=4 super Yang-Mills theory (SYM), dual to graviton scattering in AdSxS via AdS/CFT. In particular I will review the generating functions describing them for all charges at both weak and strong coupling. Integrating certain four-point correlators over their space-time dependence yields quantities that can be computed exactly by supersymmetric...
Motivated by understanding the scattering of gravitons from extended (or long) strings in type IIB string theory at finite coupling via AdS/CFT, we study an integrated two-point function of stress tensor multiplet operators in the presence of a half-BPS line defect in N=4 SU(N) super-Yang-Mills theory.
We determine this integrated correlator at the five lowest non-trivial orders in...
I will describe a surprisingly simple representation of a class of integrated correlation functions of four superconformal primaries in the stress tensor multiplet of N=4 supersymmetric Yang-Mills theory with arbitrary simple gauge group, G. I then present exact formulae for these integrated correlators which are manifestly invariant under GNO electro-magnetic duality. For classical gauge...
The numerical conformal bootstrap has put impressive bounds on the data of CFTs, including superconformal field theories, by using the equations for crossing symmetry of correlators expanded in derivatives of cross-ratios. Supersymmetric localization provides complementary constraints on SCFTs in terms of integrals of correlators over the cross-ratios. In this talk, I will describe how to...
I will discuss a formulation of conformal perturbation theory through closed string field theory and nontrivial string background deformations described by string fields.
I will review the status of the integrability for the spectrum in N=4 SYM and on how we plan to get beyond the spectrum with the help of the conformal bootstrap.
We study properties of point-like impurities preserving flavor symmetry and supersymmetry in four-dimensional N=2 field theories. At large distances, such impurities are described by half-BPS superconformal line defects. By working in the AdS2*S2 conformal frame, we develop a novel, simpler, way of deriving the superconformal Ward identities relating the various two-point functions of flavor...
We study conformal blocks for thermal one-point functions on the sphere in the presence of angular potential in conformal field theories. Much like ordinary four-point conformal blocks, the thermal blocks satisfy Dolan-Osborn-like Casimir differential equations. We will obtain a general solution using recursion relations and weight-shifting operators. As an application, we consider the block...
It was known that multiple M2-branes are described by supersymmetric Chern-Simons theories and the grand canonical partition functions of these theories sometimes satisfy q-deformed Painleve equations. Since Painleve equations are constructed from affine Weyl groups of exceptional algebras, this implies that these grand partition functions enjoy hidden symmetries of affine Weyl groups. After...
In this talk I will review the general semiclassical method of computation of strongly coupled CFT data for operators of large charge Q,
and its application to strongly-coupled bosonic and supersymmetric theories. I will particularly emphasize the use of
double-scaling limits to interpolate continuously between field-theoretic weak-coupling perturbation theory and large-charge EFT,
when...
