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A correspondence between closed strings in their high-temperature Hagedorn phase and asymptotically de Sitter (dS) space is established. We identify a thermal, conformal field theory (CFT) whose partition function is, on the one hand, equal…

High Energy Physics - Theory · Physics 2020-10-14 Ram Brustein , A. J. M. Medved

In ${\cal N}=4$ super Yang-Mills theory on a four-manifold $M$, one can specify a discrete magnetic flux valued in $H^2(M,\Z_N)$. This flux is encoded in the AdS/CFT correspondence in terms of a five-dimensional topological field theory…

High Energy Physics - Theory · Physics 2010-04-07 Edward Witten

The AdS/CFT correspondence predicts a phase transition in Wilson loop correlators in the strong coupling N=4, D=4 SYM theory which arises due to instability of the classical string stretched between the loops. We study this transition in…

High Energy Physics - Theory · Physics 2009-10-31 K. Zarembo

We consider a massive Rarita-Schwinger field on the Anti-de Sitter space and solve the corresponding equations of motion. We show that appropriate boundary terms calculated on-shell give two-point correlation functions for spin-3/2 fields…

High Energy Physics - Theory · Physics 2009-10-31 A. S. Koshelev , O. A. Rytchkov

We explore the new technique developed recently in \cite{Rosenhaus:2014woa} and suggest a correspondence between the $N$-point correlation functions on spacetime with conical defects and the $(N+1)$-point correlation functions in regular…

High Energy Physics - Theory · Physics 2015-06-19 Michael Smolkin , Sergey N. Solodukhin

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 extend the non-relativistic AdS/CFT correspondence to the fermionic fields. In particular we study the two point function of a fermionic operator in non-relativistic CFTs by making use of a massive fermion propagating in geometries with…

High Energy Physics - Theory · Physics 2014-11-18 Amin Akhavan , Mohsen Alishahiha , Ali Davody , Ali Vahedi

By using the approach of non-commutative geometry, we study spinors and scalars on the two layers AdS$_{d+1}$ space. We have found that in the boundary of two layers AdS$_{d+1}$ space, by using the AdS/CFT correspondence, we have a…

High Energy Physics - Theory · Physics 2009-10-31 K. Kaviani , A. M. Ghezelbash

According to the AdS/CFT dictionary, perturbing the large N boundary theory by a relevant double-trace deformation of the form f O^2 corresponds in the bulk to imposing ``mixed'' boundary conditions for the field dual to O. In this note we…

High Energy Physics - Theory · Physics 2008-11-26 Thomas Hartman , Leonardo Rastelli

In this work, we study the proposed duality between superstring on AdS$_3\times$S$^3\times\mathbb{T}^4$ with pure NS-NS flux and a deformed symmetric orbifold CFT. We extract the residues of 3-point string correlators at their…

High Energy Physics - Theory · Physics 2025-06-23 Zhe-fei Yu

We present an analytic study of conformal field theories on the real projective space $\mathbb{RP}^d$, focusing on the two-point functions of scalar operators. Due to the partially broken conformal symmetry, these are non-trivial functions…

High Energy Physics - Theory · Physics 2021-08-11 Simone Giombi , Himanshu Khanchandani , Xinan Zhou

Recently there has been progress on the computation of two- and three-point correlation functions with two "heavy" states via semiclassical methods. We extend this analysis to the case of AdS_5 \times T^(1,1), and examine the suggested…

High Energy Physics - Theory · Physics 2015-05-30 Michal Michalcik , Radoslav C. Rashkov , Maria Schimpf

Recently, it has been proposed by Maldacena that large $N$ limits of certain conformal field theories in $d$ dimensions can be described in terms of supergravity (and string theory) on the product of $d+1$-dimensional $AdS$ space with a…

High Energy Physics - Theory · Physics 2010-04-07 Edward Witten

We consider the strong coupling limit of conformal gauge theories in 4 dimensions. The action of the loop operator on the minimal area in the AdS space is analyzed, and the Schwinger-Dyson equations of gauge theory are checked. The general…

High Energy Physics - Theory · Physics 2009-10-31 A. M. Polyakov , V. S. Rychkov

We derive an optical theorem for perturbative CFTs which computes the double discontinuity of conformal correlators from the single discontinuities of lower order correlators, in analogy with the optical theorem for flat space scattering…

High Energy Physics - Theory · Physics 2021-04-28 António Antunes , Miguel S. Costa , Tobias Hansen , Aaditya Salgarkar , Sourav Sarkar

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

We study the fundamentals of quantum field theory on a rigid de Sitter space. We show that the perturbative expansion of late-time correlation functions to all orders can be equivalently generated by a non-unitary Lagrangian on a Euclidean…

High Energy Physics - Theory · Physics 2026-01-09 Lorenzo Di Pietro , Victor Gorbenko , Shota Komatsu

The AdS/CFT correspondence is a powerful tool to study the properties of conformal QCD at strong coupling in terms of a higher dimensional dual gravity theory. The power-law falloff of scattering amplitudes in the non-perturbative regime…

High Energy Physics - Phenomenology · Physics 2017-08-23 Guy F. de Teramond , Stanley J. Brodsky

We use the conjectured strong-weak coupling worldsheet duality between the SL(2)/U(1) and Sine-Liouville conformal field theories to study some properties of degenerate operators and to compute correlation functions in CFT on AdS_3. The…

High Energy Physics - Theory · Physics 2014-11-18 A. Giveon , D. Kutasov

We consider a massive scalar field theory in anti-de Sitter space, in both minimally and non-minimally coupled cases. We introduce a relevant double-trace perturbation at the boundary, by carefully identifying the correct source and…

High Energy Physics - Theory · Physics 2009-11-10 Pablo Minces