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We study integrable deformations of AdS/CFT by focusing upon three kinds of warped AdS_3 geometries, 1) space-like warped AdS_3, 2) time-like warped AdS_3 and 3) null warped AdS_3. These geometries are embedded into type IIB supergravity…

High Energy Physics - Theory · Physics 2015-06-15 Takashi Kameyama , Kentaroh Yoshida

The Coulomb branch of the N = 4 super-Yang-Mills theory is described by a D3-brane in the bulk of AdS_5 x S^5. We show that boundary conditions on this D3-brane preserve integrability of the AdS string. For that matter we construct…

High Energy Physics - Theory · Physics 2025-06-27 Ron Demjaha , Konstantin Zarembo

We provide a first-principles, perturbative derivation of the AdS5/CFT4 Y-system that has been proposed to solve the spectrum problem of N=4 SYM. The proof relies on the computation of quantum effects in the fusion of some loop operators,…

High Energy Physics - Theory · Physics 2015-05-30 Raphael Benichou

We address the novel structures arising in quantum and string integrable theories, as well as construct methods to obtain them and provide further analysis. Specifically, we implement the automorphic symmetries on periodic lattice systems…

High Energy Physics - Theory · Physics 2022-11-01 Anton Pribytok

We consider a system of D5/D1 branes in the supergravity background AdS_3xS^3xX, where X is T^4 or K3. By investigating the structure of the missing states in the conformal description, we are able to extend the AdS/CFT correspondence to W…

High Energy Physics - Theory · Physics 2007-05-23 S. Korden

Motivated by a recent observation that the LLM geometries admit 1/4-BPS M5-brane probes with worldvolume AdS3 X \Sigma_2 X S1 preserving the R-symmetry, we initiate a classification of the most general AdS3 X S2 geometries in M-theory. We…

High Energy Physics - Theory · Physics 2010-09-06 Eoin Ó Colgáin , Jun-Bao Wu , Hossein Yavartanoo

We study the boundary integrability problem of the massless sector of $AdS_3 \times S^3 \times T^4 $ string theory. Exploiting the difference-form of the massless scattering theory, we find a very simple and exhaustive list of reflection…

High Energy Physics - Theory · Physics 2024-05-07 Daniele Bielli , Vaibhav Gautam , Vasileios Moustakis , Andrea Prinsloo , Alessandro Torrielli

We analyse the world-sheet perturbations of string theory formulated around $AdS_3$ background. We identify a set of operators that, while added to the world-sheet action, generate the boundary fluctuations of $AdS_3$. The effect of these…

High Energy Physics - Theory · Physics 2009-10-31 Sudipta Mukherji , Sudhakar Panda

We formulate and close the boundary state bootstrap for factorizing K-matrices in AdS/CFT. We found that there are no boundary degrees of freedom in the boundary bound states, merely the boundary parameters are shifted. We use this family…

High Energy Physics - Theory · Physics 2021-04-07 Tamas Gombor , Zoltan Bajnok

AdS_4/CFT_3 duality relating IIA string theory on AdS_4 x CP^3 to N=6 superconformal Chern-Simons theory provides an arena for studying aspects of integrability in a new potentially exactly solvable system. In this paper we explore the…

High Energy Physics - Theory · Physics 2009-09-28 Chrysostomos Kalousios , C. Vergu , Anastasia Volovich

Symmetry breaking by perturbations in the AdS/CFT correspondence is discussed. Perturbations of vector fields to the AdS_3 x S^3 solution of the six-dimensional N=(4,4) supergravity are considered. These perturbations are identified as…

High Energy Physics - Theory · Physics 2010-04-05 M. Nishimura , Y. Tanii

We review the derivation of the S-matrix for planar N=4 supersymmetric Yang-Mills theory and type IIB superstring theory on an AdS5xS5 background. After deriving the S-matrix for the su(2) and su(3) sectors at the one-loop level based on…

High Energy Physics - Theory · Physics 2015-05-20 Changrim Ahn , Rafael I. Nepomechie

We propose a worldsheet description for the ${\rm AdS}_5\times {\rm S}^5$ string theory dual to large $N$, free ${\cal N}=4$ super Yang-Mills in four dimensions. The worldsheet theory is a natural generalisation of the recently investigated…

High Energy Physics - Theory · Physics 2021-09-29 Matthias R. Gaberdiel , Rajesh Gopakumar

We consider worldsheet correlation functions for strings in AdS_5 x S^5 using a light-cone gauge for the worldsheet theory. We compute the saddle-point approximation to three-point functions of BMN vertex operators, all with large charges,…

High Energy Physics - Theory · Physics 2015-05-28 Thomas Klose , Tristan McLoughlin

One of the main topics in the modern String Theory are the AdS/CFT dualities. Proving such conjectures is extremely difficult since the gauge and string theory perturbative regimes do not overlap. In this perspective, the discovery of…

High Energy Physics - Theory · Physics 2014-11-21 Valentina Giangreco M. Puletti

In view of one day proving the AdS/CFT correspondence, a deeper understanding of string theory on certain curved backgrounds such as AdS_5xS^5 is required. In this dissertation we make a step in this direction by focusing on RxS^3. It was…

High Energy Physics - Theory · Physics 2011-02-23 Benoit Vicedo

We consider two instances of boundary conditions for massless scalars on $AdS_2$ that interpolate between the Dirichlet and Neumann cases while preserving scale invariance. Assessing invariance under the full $SL(2;\mathds{R})$ conformal…

High Energy Physics - Theory · Physics 2023-02-15 Anthonny F. Canazas Garay , Diego H. Correa , Alberto Faraggi , Guillermo A. Silva

We propose a fusion formula for AdS/CFT worldsheet boundary S-matrices. We show that, starting from the fundamental Y=0 boundary S-matrix, this formula correctly reproduces the two-particle bound-state boundary S-matrices.

High Energy Physics - Theory · Physics 2016-01-27 Rafael I. Nepomechie , Rodrigo A. Pimenta

We introduce the AdS/CFT correspondence as a natural extension of QFT in a fixed AdS background. We start by reviewing some general concepts of CFT, including the embedding space formalism. We then consider QFT in a fixed AdS background and…

High Energy Physics - Theory · Physics 2016-12-21 Joao Penedones

We consider pure D3-brane configurations of IIB string theory which lead to supersymmetric solutions containing an AdS$_3$ factor. They can provide new examples of AdS$_3$/CFT$_2$ examples on D3-branes whose worldvolume is partially…

High Energy Physics - Theory · Physics 2009-11-11 Nakwoo Kim