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We continue our study of string correlators on Euclidean $\text{AdS}_3$ with pure NS-NS flux. The worldsheet and spacetime correlators have a rich analytic structure, which we analyse completely for genus 0 four-point functions. We show…

High Energy Physics - Theory · Physics 2022-09-07 Andrea Dei , Lorenz Eberhardt

Recent explorations of the AdS/CFT correspondence have unveiled integrable structures underlying both planar N = 4 super-Yang-Mills theory and type IIB string theory on AdS_5 x S^5. Integrability in the gauge theory emerges from the fact…

High Energy Physics - Theory · Physics 2008-11-26 Ian Swanson

We consider the AdS_2/CFT_1 holographic correspondence near the horizon of rotating five-dimensional black holes preserving four supersymmetries in N=2 supergravity. The bulk partition function is given by a functional integral over string…

High Energy Physics - Theory · Physics 2015-02-04 Joao Gomes

The non-linear nature of string theory on non-trivial backgrounds related to the AdS/CFT correspondence suggests to look for simplifications. Two such simplifications proved to be useful in studying string theory. These are the pp-wave…

High Energy Physics - Theory · Physics 2009-03-24 M. Kreuzer , R. C. Rashkov , M. Schimpf

The D theory is a $\mathcal{N}=2$ conformal SYM theory in four dimensions with gauge group SU($N$), four matter hypermultiplets in the fundamental and two in the anti-symmetric representation, and a flavor symmetry that contains a U(4)…

High Energy Physics - Theory · Physics 2024-11-08 M. Billo , M. Frau , A. Lerda , A. Pini , P. Vallarino

We use holography and four-dimensional $\,\mathcal{N}=4\,$ gauged supergravity to collect evidence for a large class of interconnected three-dimensional $\,\mathcal{N}=2\,$ conformal field theories. On the gravity side, we construct a…

High Energy Physics - Theory · Physics 2023-09-12 Miguel Chamorro-Burgos , Adolfo Guarino , Colin Sterckx

Quantum gravity in AdS$_7 \times$S$^4$ is dual to a 6d superconformal field theory, known as the 6d $(2,0)$ theory, which is very challenging to describe because it lacks a conventional Lagrangian description. On the other hand, certain…

High Energy Physics - Theory · Physics 2022-12-06 Arthur Lipstein , Tristan Orchard

As was shown earlier, one-loop correction in 10d supergravity on AdS_5 x S^5 corresponds to the contributions to the vacuum energy and boundary 4d conformal anomaly which are minus the values for one n=4 Maxwell supermultiplet, thus…

High Energy Physics - Theory · Physics 2015-06-29 Matteo Beccaria , Guido Macorini , Arkady A. Tseytlin

In this note, we study a simplified variant of the familiar holographic duality between supergravity on AdS$_3\times S^3\times T^4$ and the SCFT (on the moduli space of) the symmetric orbifold theory $Sym^N(T^4)$ as $N \rightarrow \infty$.…

High Energy Physics - Theory · Physics 2021-04-21 Kevin Costello , Natalie M. Paquette

We present the harmonic superspace formulation of $\mathcal{N}=2$ hypermultiplet in AdS$_4$ background, starting from the proper realization of $4D, \mathcal{N}=2$ superconformal group $SU(2,2|2)$ on the analytic subspace coordinates. The…

High Energy Physics - Theory · Physics 2025-10-31 Evgeny Ivanov , Nikita Zaigraev

We consider the four-point function of operators in the stress tensor multiplet of the $U(N)_k\times U(N)_{-k}$ ABJM theory, in the limit where $N$ is taken to infinity while $N/k^{5}$ is held fixed. In this limit, ABJM theory is…

High Energy Physics - Theory · Physics 2020-01-29 Damon J. Binder , Shai M. Chester , Silviu S. Pufu

We examine the AdS-CFT dual of arbitrary (non)supersymmetric fermionic mass deformations of N=4 SYM, and investigate how the backreaction of the RR and NS-NS two-form potentials dual to the fermion masses contribute to Coulomb-branch…

High Energy Physics - Theory · Physics 2015-12-02 Iosif Bena , Mariana Graña , Stanislav Kuperstein , Praxitelis Ntokos , Michela Petrini

We consider the CFT that arises from the D1-D5 system in the presence of a constant background gauge potential which couples to the R-charge of the theory: this potential effectively changes the periodicities of the fermions. By the AdS/CFT…

High Energy Physics - Theory · Physics 2007-05-23 Samir D. Mathur

The AdS/CFT correspondence is applied to a close analogue of the little hierarchy problem in $AdS_{d+1}$, $d \geq 3$. The new mechanism requires a Maxwell field that gauges a $U(1)_R$ symmetry in a bulk supergravity theory with a negative…

High Energy Physics - Theory · Physics 2015-10-08 Xi Dong , Daniel Z. Freedman , Yue Zhao

We study a class of exact supersymmetric solutions of type IIB Supergravity. They have an SO(4) x SU(2) x U(1) isometry and preserve generically 4 of the 32 supersymmetries of the theory. Asymptotically AdS_5 x S^5 solutions in this class…

High Energy Physics - Theory · Physics 2008-11-26 E. Gava , G. Milanesi , K. S. Narain , M. O'Loughlin

We explore subleading contributions to the two basic central charges c and a of four-dimensional conformal field theories in the AdS/CFT scheme. In particular we probe subleading corrections to the difference c-a from the string-theory…

High Energy Physics - Theory · Physics 2009-10-31 D. Anselmi , A. Kehagias

It was recently shown that string theory on $\mathrm{AdS}_3 \times \mathrm{S}^3 \times \mathbb{T}^4$ with minimal NS-NS flux ($k = 1$) is exactly dual to the symmetric orbifold of T4. Here we show that a similar statement also holds for the…

High Energy Physics - Theory · Physics 2020-02-05 Matthias R. Gaberdiel , Jeremy A. Mann

In this paper we study the consistency of generalized global symmetries in theories of quantum gravity, in particular string theory. Such global symmetries arise in theories with $(p+1)$-form gauge fields, and for spacetime dimension $d\leq…

High Energy Physics - Theory · Physics 2017-09-13 Miguel Montero , Angel M. Uranga , Irene Valenzuela

General conjectures about the SL(2,Z) modular transformation properties of N=4 super-Yang-Mills correlation functions are presented. It is shown how these modular transformation properties arise from the conjectured duality with IIB string…

High Energy Physics - Theory · Physics 2009-10-31 Kenneth Intriligator

Multi-parametric families of AdS$_{4}$ vacua with various amounts of supersymmetry and residual gauge symmetry are found in the $\,[\textrm{SO}(1,1) \times \textrm{SO}(6)] \ltimes \mathbb{R}^{12}\,$ maximal supergravity that arises from the…

High Energy Physics - Theory · Physics 2021-05-26 Adolfo Guarino , Colin Sterckx , Mario Trigiante