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We study the Regge limit of 4-point AdS$_3 \times S^3$ correlators in the tree-level supergravity approximation and provide various explicit checks of the relation between the eikonal phase derived in the bulk picture and the anomalous…

High Energy Physics - Theory · Physics 2020-12-02 Stefano Giusto , Marcel R. R. Hughes , Rodolfo Russo

We study the correlation functions of a conformally coupled $\phi^4$-interacting theory in AdS$_3$ and its dual CFT$_2$. The one-loop diagram is not expressible in terms of known transcendental functions, but is shown to be expressible as…

High Energy Physics - Theory · Physics 2026-04-30 Weichen Xiao , Ivo Sachs

We study superstrings on AdS_3 x S^3 x T^4 supported by a combination of Ramond-Ramond and Neveu-Schwarz-Neveu-Schwarz three form fluxes, and construct a set of finite-gap equations that describe the classical string spectrum. Using the…

High Energy Physics - Theory · Physics 2015-06-19 Andrei Babichenko , Amit Dekel , Olof Ohlsson Sax

We apply the numerical bootstrap program to chiral operators in four-dimensional ${\mathcal N}=2$ SCFTs. In the first part of this work we study four-point functions in which all fields have the same conformal dimension. We give special…

High Energy Physics - Theory · Physics 2016-01-12 Madalena Lemos , Pedro Liendo

A solvable irrelevant deformation of AdS$_3$/CFT$_2$ correspondence leading to a theory with Hagedorn spectrum at high energy has been recently proposed. It consists of a single trace deformation of the boundary theory, which is inspired by…

High Energy Physics - Theory · Physics 2018-04-04 Gaston Giribet

Applications of the bootstrap program to superconformal field theories promise unique new insights into their landscape and could even lead to the discovery of new models. Most existing results of the superconformal bootstrap were obtained…

High Energy Physics - Theory · Physics 2018-06-12 Martina Cornagliotto , Madalena Lemos , Volker Schomerus

Integrability is believed to underlie the AdS3/CFT2 correspondence with sixteen supercharges. We elucidate the role of massless modes within this integrable framework. Firstly, we find the dressing factors that enter the massless and…

High Energy Physics - Theory · Physics 2017-01-04 Riccardo Borsato , Olof Ohlsson Sax , Alessandro Sfondrini , Bogdan Stefanski , Alessandro Torrielli

We study correlation functions of spectrally-flowed vertex operators in bosonic string theory on $\text{AdS}_3\times X$ in the path integral formalism. By restricting the path integral to only include worldsheets which live near the…

High Energy Physics - Theory · Physics 2024-04-15 Bob Knighton , Vit Sriprachyakul

Symmetries play a central role in quantum many-body physics, yet uncovering them systematically remains challenging. We introduce a bootstrap framework designed to reconstruct the representation theory of hidden finite group symmetries of…

Quantum Physics · Physics 2026-04-03 Chen Bai , Zihan Zhou , Bastien Lapierre , Shinsei Ryu

We propose a Quantum Spectral Curve for planar string theory on AdS3*S3*S3*S1 supported by pure Ramond-Ramond flux. Our proposal is built on symmetry considerations and integrability-based functional relations. To test our construction, we…

High Energy Physics - Theory · Physics 2025-11-14 Filipp Chernikov , Simon Ekhammar , Nikolay Gromov , Benjamin Smith

We study multi spin semiclassical strings in $AdS_3\times S^3 \times T^4$ background supported by a mixture of Neveu-Schwarz-Neveu-Schwarz (NS-NS) and Ramond-Ramond (R-R) fluxes. This `mixed flux' background has been recently proved to be…

High Energy Physics - Theory · Physics 2018-08-29 Aritra Banerjee , Sagar Biswas , Kamal L Panigrahi

We study spacetime four-point functions of chiral primary operators for superstrings propagating in AdS$_3\times S^3\times T^4$ from the worldsheet perspective, allowing for external states with arbitrary spectral flow charges. We work at…

High Energy Physics - Theory · Physics 2025-10-20 Emiliano Barone , Sergio Iguri , Nicolas Kovensky , Julian H. Toro

Three-dimensional conformal field theories (CFTs) with slightly broken higher spin symmetry provide an interesting laboratory to study general properties of CFTs and their roles in the AdS/CFT correspondence. In this work we compute the…

High Energy Physics - Theory · Physics 2020-02-07 Zhijin Li

Conformal field theories (CFTs) with cubic global symmetry in 3D are relevant in a variety of condensed matter systems and have been studied extensively with the use of perturbative methods like the $\varepsilon$ expansion. In an earlier…

High Energy Physics - Theory · Physics 2020-06-10 Stefanos R. Kousvos , Andreas Stergiou

Bootstrap equations for conformal correlators that mimic the early theory of conformal bootstrap are written down in frames of the AdS/CFT approach. The simplified version of these equations, that may be justified if Schwinger-Keldysh…

High Energy Physics - Theory · Physics 2020-01-28 Boris L. Altshuler

We propose a strategy to study massive Quantum Field Theory (QFT) using conformal bootstrap methods. The idea is to consider QFT in hyperbolic space and study correlation functions of its boundary operators. We show that these are solutions…

High Energy Physics - Theory · Physics 2018-01-17 Miguel F. Paulos , Joao Penedones , Jonathan Toledo , Balt C. van Rees , Pedro Vieira

We propose a nonperturbative framework to study general correlation functions of single-trace operators in $\mathcal{N}=4$ supersymmetric Yang-Mills theory at large $N$. The basic strategy is to decompose them into fundamental building…

High Energy Physics - Theory · Physics 2017-03-08 Thiago Fleury , Shota Komatsu

The worldsheet S matrix of strings on the $AdS_3\times S^3\times T^4$ background is almost entirely fixed by symmetries, up to five functions -- the dressing factors. These must satisfy several consistency conditions, in particular a set of…

High Energy Physics - Theory · Physics 2022-05-18 Sergey Frolov , Alessandro Sfondrini

Strings on $AdS_3 \times S^3\times S^3\times S^1$ with mixed flux exhibit exact integrability. We wish to construct an integrable Neumann-Rosochatius (NR) model of strings starting with the type IIB supergravity action in $AdS_3 \times…

High Energy Physics - Theory · Physics 2022-12-28 Adrita Chakraborty , Rashmi R. Nayak , Priyadarshini Pandit , Kamal L. Panigrahi

We consider the three-parameter integrable deformation of the $AdS_3\times S^3$ superstring background constructed in arXiv:1811.00453. Working on the string worldsheet in uniform lightcone gauge, we find the tree-level bosonic S matrix of…

High Energy Physics - Theory · Physics 2020-12-02 Marco Bocconcello , Isari Masuda , Fiona K. Seibold , Alessandro Sfondrini