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Two-dimensional sl(n) quantum Toda field theory on a sphere is considered. This theory provides an important example of conformal field theory with higher spin symmetry. We derive the three-point correlation functions of the exponential…

High Energy Physics - Theory · Physics 2009-06-19 V. A. Fateev , A. V. Litvinov

We give a new method for computing the correlation functions of the chiral part of the stress-tensor supermultiplet that relies on the reformulation of N=4 SYM in twistor space. It yields the correlation functions in the Born approximation…

High Energy Physics - Theory · Physics 2015-04-15 D. Chicherin , R. Doobary , B. Eden , P. Heslop , G. P. Korchemsky , L. Mason , E. Sokatchev

We compute the contribution of the vacuum Virasoro representation to the genus-two partition function of an arbitrary CFT with central charge $c>1$. This is the perturbative pure gravity partition function in three dimensions. We employ a…

High Energy Physics - Theory · Physics 2015-11-19 Matthew Headrick , Alexander Maloney , Eric Perlmutter , Ida G. Zadeh

We consider density functionals for exchange and correlation energies in two-dimensional systems. The functionals are constructed by making use of exact constraints for the angular averages of the corresponding exchange and correlation…

Strongly Correlated Electrons · Physics 2010-02-25 E. Rasanen , S. Pittalis

We study matching conditions for a spherically symmetric thin shell in Lovelock gravity which can be read off from the variation of the corresponding first-order action. In point of fact, the addition of Myers' boundary terms to the…

General Relativity and Quantum Cosmology · Physics 2022-11-30 Pablo Guilleminot , Nelson Merino , Rodrigo Olea

We study CFT$_2$ Virasoro conformal blocks of the 4-point correlation function $\langle \mathcal{O}_L \mathcal{O}_H \mathcal{O}_H \mathcal{O}_H \rangle $ with three background operators $\mathcal{O}_H$ and one perturbative operator…

High Energy Physics - Theory · Physics 2019-09-04 K. B. Alkalaev , Mikhail Pavlov

Shell effects reflects irregularities of physical quantities caused by a discrete energy spectrum. The theory of the shell effects by Kirzhnits and Shpatakovskaya is valid only at relatively low densities providing for oscillations of…

Plasma Physics · Physics 2016-08-30 Sergey Dyachkov , Pavel Levashov

We present results of Monte Carlo study of the monomer-monomer correlation functions, static structure factor and asphericity characteristics of a single homopolymer in the coil and globular states for three distinct architectures of the…

Soft Condensed Matter · Physics 2009-11-07 Edward G. Timoshenko , Yuri A. Kuznetsov , Ronan Connolly

We express holographic thermal correlators using a recurrence relation of $\{a_n\}$ at $n\to\infty$, building on recent advances in the connection formula for the Heun equation. We consider two gravitational solutions that correspond to…

High Energy Physics - Theory · Physics 2025-06-23 Jie Ren , Zhe Yu

We prove that all the correlation functions in the $(1,q)$ models are calculable using only the Virasoro and the $W^{(3)}$ constraints. This result is based on the invariance of correlators with respect to an interchange of the order of the…

High Energy Physics - Theory · Physics 2009-10-22 Y. Lavi , J. Sonnenschein

Functional relations play a key role in the study of integrable models. We argue in this paper that for massless field theories at zero temperature, these relations can in fact be interpreted as monodromy relations. Combined with a recently…

solv-int · Physics 2008-11-26 P. Fendley , H. Saleur

Two-dimensional Coulomb gases on an annulus at a special inverse temperature $\beta = 2$ are studied by using the orthogonal polynomial method borrowed from the theory of random matrices. The correlation functions among the Coulomb gas…

Mathematical Physics · Physics 2026-03-30 Taro Nagao

We study correlation functions of half-BPS operators in planar $\mathcal{N}=4$ Super-Yang-Mills at strong coupling, in the classical limit where operator dimensions scale with the coupling. We focus on the two-dimensional kinematics…

High Energy Physics - Theory · Physics 2026-05-06 Benjamin Basso , Erkan Kaluç , Didina Serban

We present a unitary correlation operator that explicitly induces into shell model type many-body states short ranged two-body correlations caused by the strong repulsive core and the pronounced tensor part of the nucleon-nucleon…

Nuclear Theory · Physics 2016-09-08 Thomas Neff , Hans Feldmeier

We compute euclidean coordinate space correlation functions in a holographic model of QCD. We concentrate, in particular, on channels that are related to the U(1)_A problem, the flavor-singlet axialvector, pseudoscalar meson, and…

High Energy Physics - Phenomenology · Physics 2008-11-26 Thomas Schaefer

Virasoro conformal blocks are fixed in principle by symmetry, but a closed-form expression is unknown in the general case. In this work, we provide three closed-form expansions for the four-point Virasoro blocks on the sphere, for arbitrary…

High Energy Physics - Theory · Physics 2015-09-30 Eric Perlmutter

We present the details of a recently discovered representation of conformal four-point ladder integrals as thermal one-point functions in scalar field theories. We show that the conformal ladder integrals can be constructed from the…

High Energy Physics - Theory · Physics 2025-10-17 Manthos Karydas , Songyuan Li , Anastasios C. Petkou , Matthieu Vilatte

Surface operators are nonlocal probes of gauge theories capable of distinguishing phases that are not discernible by the classic Wilson-'t Hooft criterion. We prove that the correlation function of a surface operator with a chiral primary…

High Energy Physics - Theory · Physics 2024-06-14 Changha Choi , Jaume Gomis , Raquel Izquierdo García

Generalizing recent work on isotropic tensor fields in isotropic and achiral condensed matter systems from two to arbitrary dimensions we address both mathematical aspects assuming perfectly isotropic systems and applications focusing on…

Soft Condensed Matter · Physics 2024-10-22 J. P. Wittmer

We develop semiclassical methods to analyze the spectrum of BPS monopole operators for superconformal field theories in three dimensions with N=2 supersymmetry. We show that the chiral ring of the theory results from the semiclassical…

High Energy Physics - Theory · Physics 2015-05-30 David Berenstein , Mauricio Romo