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We calculate four-point correlation functions of two weight-2 and two weight-3 1/2-BPS operators in \mathcal{N}=4 SYM in the large N limit in supergravity approximation. By the AdS/CFT conjecture, these operators are dual to AdS…

High Energy Physics - Theory · Physics 2009-11-18 León Berdichevsky , Pieter Naaijkens

The proposed duality between Vasiliev's supersymmetric higher spin theory on AdS3 and the 't Hooft limit of the 2d superconformal Kazama-Suzuki models is analysed in detail. In particular, we show that the partition functions of the two…

High Energy Physics - Theory · Physics 2015-06-04 Constantin Candu , Matthias R. Gaberdiel

All correlation functions of conserved currents of the CFT that is dual to unbroken Vasiliev theory are found as invariants of higher-spin symmetry in the bulk of AdS. The conformal and higher-spin symmetry of the correlators as well as the…

High Energy Physics - Theory · Physics 2015-06-11 V. E. Didenko , E. D. Skvortsov

We study the formulation of massless higher-spin gravity on AdS$_3$ in a gauge in which the fundamental variables satisfy free field Poisson brackets. This gauge choice leaves a small portion of the gauge freedom unfixed, which should be…

High Energy Physics - Theory · Physics 2018-04-04 Andrea Campoleoni , Stefan Fredenhagen , Joris Raeymaekers

We consider $\mathcal{N=1}$ superconformal field theories in three-dimensions possessing a conserved current multiplet $\mathcal{F}_{ (\alpha_{1} \alpha_{2} \alpha_{3} \alpha_{4}) }$ which we refer to as the superspin-2 current multiplet.…

High Energy Physics - Theory · Physics 2021-11-16 Evgeny I. Buchbinder , Benjamin J. Stone

We develop a systematic method to constrain any n-point correlation function of spinning operators in Large N Slightly Broken Higher Spin (SBHS) theories. As an illustration of the methodology, we work out the three point functions which…

High Energy Physics - Theory · Physics 2024-03-26 Prabhav Jain , Sachin Jain , Bibhut Sahoo , Dhruva K. S , Aashna Zade

Recently, exact agreement has been found between bulk and boundary three-point functions in AdS_3 x S^3 x T^4 with NSNS fluxes. This represents a non-trivial check of AdS/CFT correspondence beyond the supergravity approximation as it…

High Energy Physics - Theory · Physics 2011-06-02 Gaston Giribet , Lorena Nicolás

We continue the program of bulk reconstruction for fermionic fields. We reconstruct, from the CFT, the Dirac fermion field in $AdS_{3}$ coupled to a Chern-Simon gauge field. We show that the three conditions; solving the equation of motion,…

High Energy Physics - Theory · Physics 2023-04-19 Gilad Lifschytz , Milan Patra

For cosmological topologically massive gravity at the chiral point we calculate momentum space 2- and 3-point correlators of operators in the postulated dual CFT on the cylinder. These operators are sourced by the bulk and boundary…

High Energy Physics - Theory · Physics 2014-11-20 Daniel Grumiller , Ivo Sachs

We conjecture that Vasiliev's theory of higher spin gravity in four-dimensional de Sitter space (dS) is holographically dual to a three-dimensional conformal field theory (CFT) living on the spacelike boundary of dS at future timelike…

High Energy Physics - Theory · Physics 2011-08-31 Dionysios Anninos , Thomas Hartman , Andrew Strominger

We determine from 11D supergravity the quadratic bulk action for the physical bosonic fields relevant for the computation of correlation functions of normalized chiral operators in D=6, N=(0,2) and D=3, N=8 supersymmetric CFT in the large N…

High Energy Physics - Theory · Physics 2009-10-31 Fiorenzo Bastianelli , Roberto Zucchini

We compute the late-time correlation functions on three-dimensional de Sitter spacetime for a higher-spin gravity theory. For this, we elaborate on the formulation to obtain the wave functional of universe from a dual conformal field…

High Energy Physics - Theory · Physics 2023-02-22 Heng-Yu Chen , Shi Chen , Yasuaki Hikida

We consider three dimensional conformal field theories that have a higher spin symmetry that is slightly broken. The theories have a large N limit, in the sense that the operators separate into single trace and multitrace and obey the usual…

High Energy Physics - Theory · Physics 2015-06-04 Juan Maldacena , Alexander Zhiboedov

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

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

In this paper we study the three-point correlation functions of two scalar operators with large conformal dimensions and the R-current or stress-energy tensor at strong coupling with the help of the AdS_4/CFT_3 correspondence. The scalar…

High Energy Physics - Theory · Physics 2013-07-23 D. Arnaudov

Extending the methods developed in our previous works (arXiv:1110.3949, arXiv:1205.6060), we compute the three-point functions at strong coupling of the non-BPS states with large quantum numbers corresponding to the composite operators…

High Energy Physics - Theory · Physics 2014-03-26 Yoichi Kazama , Shota Komatsu

Large N quasi-fermionic Chern-Simons-matter theories have an approximate higher-spin symmetry that strongly constrains their correlation functions. In particular, the 3-point functions for generic spins are combinations of 3 structures…

High Energy Physics - Theory · Physics 2024-05-06 Ofer Aharony , Rohit R. Kalloor , Trivko Kukolj

We analyse the general structure of the three-point functions involving conserved bosonic and fermionic higher-spin currents in three-dimensional conformal field theory. Using the constraints of conformal symmetry and conservation…

High Energy Physics - Theory · Physics 2023-02-14 Evgeny I. Buchbinder , Benjamin J. Stone

Recently there has been progress on the calculation of three-point functions with two "heavy" operators via semiclassical methods. We extend this analysis to the case of the Lunin-Maldacena background, and examine the suggested procedure…

High Energy Physics - Theory · Physics 2013-05-29 D. Arnaudov , R. C. Rashkov