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We study the four-point function of the lowest-lying half-BPS operators in the ${\cal N} =4$ $SU(N)$ super-Yang-Mills theory and its relation to the flat-space four-graviton amplitude in type IIB superstring theory. We work in a large-$N$…

High Energy Physics - Theory · Physics 2020-12-02 Shai M. Chester , Michael B. Green , Silviu S. Pufu , Yifan Wang , Congkao Wen

We consider weakly-coupled QFT in AdS at finite temperature. We compute the holographic thermal two-point function of scalar operators in the boundary theory. We present analytic expressions for leading corrections due to local quartic…

High Energy Physics - Theory · Physics 2021-06-30 Luis F. Alday , Murat Kologlu , Alexander Zhiboedov

The holographic principle in the pp-wave limit proposed in our previous works is further confirmed by studying impurity non-preserving processes which contain a fermionic BMN operator with one scalar and one fermion impurities. We show that…

High Energy Physics - Theory · Physics 2008-11-26 Suguru Dobashi

We consider a set of half-BPS operators in $\mathcal{N}=4$ super Yang-Mills theory which are appropriate for describing single-particle states of superstring theory on AdS${}_5 \times S^5$. These single-particle operators are defined to…

High Energy Physics - Theory · Physics 2021-03-17 F. Aprile , J. M. Drummond , P. Heslop , H. Paul , F. Sanfilippo , M. Santagata , A. Stewart

We review some recent progress in understanding the spectrum of energies/dimensions of strings/operators in AdS5 x S5 -- planar N=4 super Yang-Mills correspondence. We consider leading strong coupling corrections to the energy of lightest…

High Energy Physics - Theory · Physics 2020-12-08 A. A. Tseytlin

We present a constructive derivation of holographic four-point correlators of arbitrary half-BPS operators for all maximally supersymmetric conformal field theories in $d>2$. This includes holographic correlators in 3d ${\cal N}=8$ ABJM…

High Energy Physics - Theory · Physics 2021-03-24 Luis F. Alday , Xinan Zhou

We study the structure constant of a single trace operator and two determinant operators in ${\cal N}=4$ super Yang-Mills theory. Holographically such a quantity corresponds to the interaction vertex between a closed string and two open…

High Energy Physics - Theory · Physics 2019-06-28 Keun-Young Kim , Minkyoo Kim , Kyungsun Lee

The AdS_3/CFT_2 correspondence is checked beyond the supergravity approximation by comparing correlation functions. To this end we calculate 2- and 3-point functions on the sphere of certain chiral primary operators for strings on AdS_3 x…

High Energy Physics - Theory · Physics 2010-10-27 Matthias R. Gaberdiel , Ingo Kirsch

We propose a new consistency condition for the compatibility of a gravitational effective field theory in AdS with a dual holographic description in terms of a family of large-$N$ CFTs. Using large-$N$ factorization of correlation functions…

High Energy Physics - Theory · Physics 2026-05-05 Nikolay Bobev , Hynek Paul , Filippo Revello

Techniques arising from string theory can be used to study assemblies of strongly-interacting fermions. Via this `holographic duality', various strongly-coupled many body systems are solved using an auxiliary theory of gravity. Simple…

High Energy Physics - Theory · Physics 2015-05-20 Thomas Faulkner , Nabil Iqbal , Hong Liu , John McGreevy , David Vegh

We consider the operator spectrum of a three-dimensional ${\cal N} = 2$ superconformal field theory with moduli spaces of one complex dimension, such as the fixed point theory with three chiral superfields $X,Y,Z$ and a superpotential $W =…

High Energy Physics - Theory · Physics 2017-10-17 Simeon Hellerman , Shunsuke Maeda , Masataka Watanabe

Holographic duality provides a microscopic interpretation of asymptotically Anti-de Sitter supergravity solutions. The dual states of the field theory give rise to expectation values of light operators. These expectation values correspond…

High Energy Physics - Theory · Physics 2025-07-04 David Turton , Alexander Tyukov

Extending the results of \cite{Heem}, \cite{KLRS} on the holographic representation of local gauge field operators in anti de Sitter space, here we construct the bulk operators for higher spin gauge fields in the leading order of…

High Energy Physics - Theory · Physics 2015-04-29 Debajyoti Sarkar , Xiao Xiao

We reexamine the massless spectrum of a heterotic string vacuum at large radius and present two results. The first result is to construct a vector bundle $\mathcal{Q}$ and operator $\overline{\mathcal{D}}$ whose kernel amounts to…

High Energy Physics - Theory · Physics 2022-11-30 Jock McOrist , Eirik Eik Svanes

In this paper we investigate the holographic computation of the two-point functions of $\frac{1}{2}$-BPS chiral primary operators with scaling dimensions $\Delta \sim N$ or $\Delta \sim N^2$ in $\mathcal{N}=4$ $SU(N)$ SYM using Type IIB…

High Energy Physics - Theory · Physics 2026-04-20 Prokopii Anempodistov

In this work, we study the effects of stringy corrections on the low energy effective action derived from heterotic string theory beyond its supergravity approximation. Compactifying the ten dimensional theory with these stringy corrections…

Motivated by the problem of understanding 3-point correlation functions of gauge-invariant operators in N =4 super Yang-Mills theory we consider correlators involving Wilson loops and a "light" operator with fixed quantum numbers. At…

High Energy Physics - Theory · Physics 2012-04-19 Luis F. Alday , Arkady A. Tseytlin

We discuss string theory on AdS(3)xS(3)xM(4) with particular emphasis on unitarity and state-operator correspondence. The AdS-CFT correspondence, in the Minkowski signature, is re-examined by taking into account the only allowed unitary…

High Energy Physics - Theory · Physics 2007-05-23 I. Bars , C. Deliduman , D. Minic

This work is the second installment of a series on the loop-string-hadron (LSH) approach to SU(3) lattice Yang-Mills theory. Here, we present the infinite-dimensional matrix representation for arbitrary gauge-invariant operators at a…

High Energy Physics - Lattice · Physics 2026-03-09 Saurabh V. Kadam , Aahiri Naskar , Indrakshi Raychowdhury , Jesse R. Stryker

We compute the two-point function of Konishi-like operators up to one-loop order, in N=4 supersymmetric Yang-Mills theory. We work perturbatively in N=1 superspace. We find the expression expected on the basis of superconformal invariance…

High Energy Physics - Theory · Physics 2008-11-26 Stefano Maghini , Alberto Santambrogio , Daniela Zanon