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The AdS/CFT duality maps supersymmetric heavy operators with conformal dimension of the order of the central charge to asymptotically AdS supergravity solutions. We show that by studying the quadratic fluctuations around such backgrounds it…

High Energy Physics - Theory · Physics 2017-10-25 Andrea Galliani , Stefano Giusto , Rodolfo Russo

The thermodynamic limit of the dynamical density and spin-density two-point correlation functions for the spin Calogero-Sutherland model are derived from Uglov's finite-size results. The resultant formula for the density two-point…

Strongly Correlated Electrons · Physics 2008-11-26 Takashi Yamamoto , Mitsuhiro Arikawa

We consider two-point correlators in SU(N) gauge theories on R4 with N=2 supersymmetry and Nf massless hypermultiplets in the fundamental representation. Using localization on S4, we compute the leading perturbative corrections to the…

High Energy Physics - Theory · Physics 2018-03-14 M. Billo , F. Fucito , A. Lerda , J. F. Morales , Ya. S. Stanev , Congkao Wen

We develop a bootstrap approach to Euclidean two-point correlators, in the thermal or ground state of quantum mechanical systems. We formulate the problem of bounding the two-point correlator as a semidefinite programming problem, subject…

High Energy Physics - Theory · Physics 2026-04-08 Minjae Cho , Barak Gabai , Henry W. Lin , Jessica Yeh , Zechuan Zheng

We derive the connected tree-level part of 4-point holographic correlators in AdS$_3\times S^3\times \mathcal{M}$ (where ${\cal M}$ is $T^4$ or $K3$) involving two multi-trace and two single-trace operators. These connected correlators are…

High Energy Physics - Theory · Physics 2021-07-01 Nejc Ceplak , Stefano Giusto , Marcel R. R. Hughes , Rodolfo Russo

We investigate the fermionic perturbations of the asymptotically AdS background known as holographic neutron star, which represents a highly degenerate state of strongly coupled fermions on a sphere at finite temperature. We calculate the…

High Energy Physics - Theory · Physics 2025-06-23 Lucas Acito , Tobías Canavesi , Nicolás Grandi , Adrián Lugo

We consider a thermalization process in a 2-dimensional CFT that has a holographic description in terms of the gravitational collapse of a thin shell of null dust. This model represents a sudden perturbation of the CFT vacuum that…

High Energy Physics - Theory · Physics 2015-05-30 Joao Aparicio , Esperanza Lopez

In the context of $\rm AdS_3/CFT_2$, we investigate holographic correlators of the stress tensor of a conformal field theory (CFT) on a torus in this work. To calculate the correlators of the stress tensor, we employ the Einstein-Hilbert…

High Energy Physics - Theory · Physics 2023-07-05 Song He , Yi Li , Yun-Ze Li , Yunda Zhang

From the viewpoint of AdS/CFT correspondence, we investigate the holographic thermalization process in a four dimensional Einstein-Maxwell-axions gravity theory, which is considered as a simple bulk theory dual to a boundary theory with…

High Energy Physics - Theory · Physics 2020-06-16 Yong-Zhuang Li , Xiao-Mei Kuang

Motivated by AdS/CFT, we address the following outstanding question in large $N$ conformal field theory: given the appearance of a single-trace operator in the ${\cal O}\times{\cal O}$ OPE of a scalar primary ${\cal O}$, what is its total…

High Energy Physics - Theory · Physics 2018-08-09 Luis F. Alday , Agnese Bissi , Eric Perlmutter

2-point topological charge correlation functions of several types of geometric singularity in gaussian random fields are calculated explicitly, using a general scheme: zeros of $n$-dimensional random vectors, signed by the sign of their…

Mathematical Physics · Physics 2010-12-01 M. R. Dennis

We study thermal two-point functions and four-point functions involving two heavy twisted operators and two light probes in symmetric product orbifolds. We identify cases where they are universal at large $N$, that is, they are only…

High Energy Physics - Theory · Physics 2025-05-28 Alexandre Belin , Suzanne Bintanja , Alejandra Castro , Waltraut Knop

We consider heavy-heavy-light-light (HHLL) correlators in AdS/CFT, focussing on the D1D5 CFT$_2$ and the ${\cal N}= 4$ super Yang-Mills theory. Out of the lightest $1/2$-BPS operator in the spectrum, $O$, we construct a particular heavy…

High Energy Physics - Theory · Physics 2025-07-18 Francesco Aprile , Stefano Giusto , Rodolfo Russo

The spectrum of two-point functions in a holographic renormalization group flow from an ultraviolet (UV) to an infrared (IR) conformal fixed point is necessarily continuous. For a toy model, the spectral function does not only show the…

High Energy Physics - Theory · Physics 2009-01-30 Wolfgang Mueck

We compute the two- and four-point holographic correlation functions up to the second order in the coupling constant for a scalar $\phi^4$ theory in four-dimensional Euclidean anti-de Sitter space. Analytic expressions for the anomalous…

High Energy Physics - Theory · Physics 2019-03-27 Igor Bertan , Ivo Sachs , Evgeny D. Skvortsov

We construct a holographic dual theory of one-dimensional anisotropic Heisenberg spin chain, which includes two Chern-Simons gauge fields and a charged scalar field. Thermodynamic quantities of the spin chain at low temperatures, which are…

High Energy Physics - Theory · Physics 2023-11-03 Naoto Yokoi , Yasuyuki Oikawa , Eiji Saitoh

We calculate the finite temperature three-point correlation function for primary fields in a 2D conformal field theory in momentum space. This result has applications to any strongly coupled field theory with a 2D CFT dual, as well as to…

High Energy Physics - Theory · Physics 2015-06-22 Melanie Becker , Yaniel Cabrera , Ning Su

We present a scheme for investigating arbitrary thermal observables in spatially inhomogeneous equilibrium many-body systems. Extending the grand canonical ensemble yields any given observable as an explicit hyper-density functional.…

Soft Condensed Matter · Physics 2024-09-10 Florian Sammüller , Silas Robitschko , Sophie Hermann , Matthias Schmidt

We study heavy-light four-point function by employing Lorentzian inversion formula, where the conformal dimension of heavy operator is as large as central charge $C_T\rightarrow\infty$. We implement the Lorentzian inversion formula back and…

High Energy Physics - Theory · Physics 2020-08-26 Yue-Zhou Li

Using holographic renormalization, we study correlation functions throughout a renormalization group flow between two-dimensional superconformal field theories. The ultraviolet theory is an N=(4,4) CFT which can be thought of as a symmetric…

High Energy Physics - Theory · Physics 2009-11-07 Marcus Berg , Henning Samtleben