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We compute boundary three-point functions involving two scalars and a gauge field of arbitrary spin in the AdS vacuum of Vasiliev's higher spin gravity, for any deformation parameter \lambda. In the process, we develop tools for extracting…

High Energy Physics - Theory · Physics 2017-08-23 Martin Ammon , Per Kraus , Eric Perlmutter

This Thesis reviews some recent developments about higher-spin interactions in flat and constant curvature backgrounds. Particular attention is given to the ambient-space formulation of the problem, both at the cubic and at the quartic…

High Energy Physics - Theory · Physics 2012-11-08 Massimo Taronna

We develop a flat-space holographic dictionary for a free massive spinor field in four-dimensional Minkowski spacetime, using the hyperbolic (Milne) slicing into $\mathbb H^3$ (Euclidean $\mathrm{AdS}_3$). Decomposing bulk fields into…

High Energy Physics - Theory · Physics 2026-03-10 Dmitry S. Ageev , Anna S. Bernakevich

We compute the boundary two point functions of operators corresponding to massive spin 1 and spin 2 de Sitter fields, by an extension of the ``S-Matrix'' approach developed for bulk scalars. In each case the two point functions are of the…

High Energy Physics - Theory · Physics 2009-11-07 Oisin A. P. Mac Conamhna

We perform Monte Carlo calculation of correlation functions in 4d N=4 super Yang-Mills theory on R*S^3 in the planar limit. In order to circumvent the well-known problem of lattice SUSY, we adopt the idea of a novel large-N reduction, which…

High Energy Physics - Lattice · Physics 2010-11-18 Masazumi Honda , Goro Ishiki , Sang-Woo Kim , Jun Nishimura , Asato Tsuchiya

We propose and study a holographic dual of the type IIB superstring theory of AdS_5 x S^5 in terms of the N=4 superconformal Yang-Mills theory on dS_4. We use the bulk to boundary formalism to evaluate the boundary correlation functions and…

High Energy Physics - Theory · Physics 2016-12-07 Chong-Sun Chu , Dimitrios Giataganas

Within holography, we calculate the contribution of an arbitrary spin-s gauge boson exchange in $AdS_{d+1}$ to the four-point function with scalar operators on the boundary. As an important ingredient, we first compute the complete…

High Energy Physics - Theory · Physics 2014-12-25 Xavier Bekaert , Johanna Erdmenger , Dmitry Ponomarev , Charlotte Sleight

We formulate gauge invariant interactions of totally symmetric tensor and tensor-spinor higher spin gauge fields in AdS(5) that properly account for higher-spin-gravitational interactions at the action level in the first nontrivial order.

High Energy Physics - Theory · Physics 2009-11-07 K. B. Alkalaev , M. A. Vasiliev

We discuss the properties of four-point functions in the context of the correspondence between a classical supergravity theory in the bulk of the Anti de Sitter space and quantum conformal field theory at the boundary. The contribution to a…

High Energy Physics - Theory · Physics 2009-09-17 Hong Liu , A. A. Tseytlin

We study operators with large internal charge in boundary conformal field theories (BCFTs) with internal symmetries. Using the state-operator correspondence and the existence of a macroscopic limit, we find a non-trivial relation between…

High Energy Physics - Theory · Physics 2021-11-03 Gabriel Cuomo , Márk Mezei , Avia Raviv-Moshe

In this chapter of "Review of AdS/CFT Integrability" we introduce N=4 Super Yang-Mills. We discuss the global superalagebra PSU(2,2|4) and its action on gauge invariant operators. We then discuss the computation of the correlators of…

High Energy Physics - Theory · Physics 2015-05-20 Joseph A. Minahan

A detailed analysis of the structure and gauge dependence of the bulk-to-bulk propagators for the higher spin gauge fields in $AdS$ space is performed. The possible freedom in the construction of the propagators is investigated and fixed by…

High Energy Physics - Theory · Physics 2010-04-05 Ruben Manvelyan , Werner Ruehl

In this paper, we revisit scalar field theories in $d$ space-time dimensions possessing $U(N)$ global symmetry. Following our recent work arXiv:1402.1430v2, we consider the generating function of correlation functions of all…

High Energy Physics - Theory · Physics 2015-01-07 Robert G. Leigh , Onkar Parrikar , Alexander B. Weiss

We study the correlators of the 2d W_N minimal model in the semiclassical regime with large central charge from bulk viewpoint by utilizing open Wilson lines in sl(N) Chern-Simons gauge theory. We extend previous works for the tree level of…

High Energy Physics - Theory · Physics 2017-12-01 Yasuaki Hikida , Takahiro Uetoko

It was proposed by Maldacena that the large $N$ limit of certain conformal field theories can be described in terms of supergravity on anti-De Sitter spaces (AdS). Recently, Gubser, Klebanov and Polyakov and Witten have conjectured that the…

High Energy Physics - Theory · Physics 2007-05-23 I. Ya. Aref'eva , I. V. Volovich

We continue the studies of our earlier proposal for an AdS/CFT correspondence for time-dependent supergravity backgrounds. We note that by performing a suitable change of variables, the dual super Yang-Mills theory lives on a flat base…

High Energy Physics - Theory · Physics 2009-05-20 Chong-Sun Chu , Pei-Ming Ho

We investigate the details of the bulk-boundary correspondence in Lorentzian signature anti-de Sitter space. Operators in the boundary theory couple to sources identified with the boundary values of non-normalizable bulk modes. Such modes…

High Energy Physics - Theory · Physics 2016-08-25 Vijay Balasubramanian , Per Kraus , Albion Lawrence

Causality on the gravity side of the AdS/CFT correspondence restricts motion on the moduli space of the N=4 super Yang Mills theory by imposing a speed limit on how fast the scalar field may roll. This effect can be traced to higher…

High Energy Physics - Theory · Physics 2008-11-26 Eva Silverstein , David Tong

We discuss dilatonic gravity (bulk theory) from the point of view of (generalized) AdS/CFT correspondence. Self-consistent dilatonic background is considered. It may be understood as two boundaries space where AdS boundary appears as…

High Energy Physics - Theory · Physics 2009-09-17 Shin'ichi Nojiri , Sergei D. Odintsov

We focus on the geometrical reformulation of free higher spin supermultiplets in $4\rm{D},~\mathcal{N}=1$ flat superspace. We find that there is a de Wit-Freedman like hierarchy of superconnections with simple gauge transformations. The…

High Energy Physics - Theory · Physics 2021-01-04 I. L. Buchbinder , S. James Gates , K. Koutrolikos