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We study four-point correlation functions with logarithmic behaviour in Liouville field theory on a sphere, which consist of one kind of the local operators. We study them as non-integrated correlation functions of the gravitational sector…

High Energy Physics - Theory · Physics 2009-11-07 Shun-ichi Yamaguchi

We develop a method for computing correlation functions of twist operators in the bosonic 2-d CFT arising from orbifolds M^N/S_N, where M is an arbitrary manifold. The path integral with twist operators is replaced by a path integral on a…

High Energy Physics - Theory · Physics 2009-10-31 Oleg Lunin , Samir D. Mathur

We evaluate the three point function for arbitrary states in bosonic minimal models on the sphere coupled to quantum gravity in two dimensions. The validity of the formal continuation in the number of Liouville screening charge insertions…

High Energy Physics - Theory · Physics 2009-10-22 Kenichiro Aoki , Eric D'Hoker

Non-relativistic ABJM theory is defined by Galilean limit of mass-deformed N=6 Chern-Simons theory. Holographic string theory dual to the theory is not known yet. To understand features candidate gravity dual might exhibit, we examine local…

High Energy Physics - Theory · Physics 2009-08-12 Yu Nakayama , Soo-Jong Rey

Recent advances in string theory have highlighted the need for reliable numerical methods to calculate correlators at strong coupling in supersymmetric theories. We present a calculation of the correlator <0|T^{++}(r)T^{++}(0)|0> in N=1 SYM…

High Energy Physics - Theory · Physics 2009-11-07 J. R. Hiller , S. Pinsky , U. Trittmann

We investigate toric GLSMs as models for tachyon condensation in type II strings on space-time non-supersymmetric orbifold singularities. The A-model correlators in these theories satisfy a set of relations related to the topology of the…

High Energy Physics - Theory · Physics 2011-10-11 Ilarion V. Melnikov , M. Ronen Plesser

Superstrings and topological strings with supermanifolds as target space play a central role in the recent developments in string theory. Nevertheless the rules for higher-genus computations are still unclear or guessed in analogy with…

High Energy Physics - Theory · Physics 2007-05-23 P. A. Grassi , G. Policastro

We consider correlation functions of topologically twisted, $\mathcal{N}=2$ supersymmetric Yang-Mills theory with gauge group ${\rm SU}(2)$ and $N_f\leq 3$ massive hypermultiplets in the fundamental representation. For a smooth, compact,…

High Energy Physics - Theory · Physics 2026-02-25 Elias Furrer , Jan Manschot

In a $\mathcal{N}=2$ superconformal gauge theory with matter hypermultiplets transforming in the symmetric and anti-symmetric representations of SU($N$), we study the integrated correlators of two Coulomb-branch operators and two moment-map…

High Energy Physics - Theory · Physics 2024-01-17 M. Billo , M. Frau , A. Lerda , A. Pini

We search for a possible bosonic (i.e. non-supersymmetric) string/gauge theory correspondence by using IIB and 0B strings as a guide. Our construction is based on the low-energy bosonic string effective action modified by an extra form…

High Energy Physics - Theory · Physics 2007-05-23 Sergei V. Ketov , Thorsten Leonhardt , Werner Rühl

In this letter we propose exact three-point correlation functions for N=1 supersymmetric Liouville theory. Along the lines of Zamolodchikov and Zamolodchikov paper (hep-th/9506136) we propose a generalized special function which describe…

High Energy Physics - Theory · Physics 2010-02-19 R. C. Rashkov , M. Stanishkov

Correlators of local operators inserted on a straight Wilson loop in a conformal gauge theory have the structure of a one-dimensional "defect" CFT. As was shown in arXiv:1706.00756, in the case of supersymmetric Wilson-Maldacena loop in…

High Energy Physics - Theory · Physics 2019-06-26 Matteo Beccaria , Simone Giombi , Arkady A. Tseytlin

Correlation functions of operators with a conformal dimension of O(N^2) are not well approximated by the planar limit. The non-planar diagrams, which in the bulk spacetime correspond to string loop corrections, are enhanced by huge…

High Energy Physics - Theory · Physics 2009-09-28 Robert de Mello Koch , Tanay K. Dey , Norman Ives , Michael Stephanou

We derive the explicit expression for the four-point correlation function of stress-energy tensors in four-dimensional N=4 superconformal theory. We show that it has a remarkably simple and suggestive form allowing us to predict a large…

High Energy Physics - Theory · Physics 2016-01-27 G. P. Korchemsky , E. Sokatchev

In this paper, exact one-point functions of N=1 super-Liouville field theory in two-dimensional space-time with appropriate boundary conditions are presented. Exact results are derived both for the theory defined on a pseudosphere with…

High Energy Physics - Theory · Physics 2015-06-26 Changrim Ahn , Chaiho Rim , Marian Stanishkov

It appears that string-M-theory is the only viable candidate for a complete theory of matter. It must therefore contain both gravity and QCD. What is particularly surprising is the recent conjecture that strongly coupled QCD matrix elements…

High Energy Physics - Theory · Physics 2007-05-23 S. S. Pinsky , U. Trittmann , J. R. Hiller

The symmetry algebra of $N=1$ Super-Liouville field theory in two dimensions is the infinite dimensional $N=1$ superconformal algebra, which allows one to prove, that correlation functions, containing degenerated fields obey some partial…

High Energy Physics - Theory · Physics 2009-10-30 R. Poghossian

We show that almost all string theories, including the bosonic string, the superstring and $W$-string theories, possess a twisted N=2 superconformal symmetry. This enables us to establish a connection between topological gravity and the…

High Energy Physics - Theory · Physics 2009-10-22 M. Bershadsky , W. Lerche , D. Nemeschansky , N. P. Warner

We study correlation functions on the Coulomb branch of planar $\mathcal{N} = 4$ super-Yang- Mills theory (SYM), and their relationship with integrability, the operator product expansion (OPE), the sum rule, the large charge expansion, and…

High Energy Physics - Theory · Physics 2024-09-12 Vyacheslav Ivanovskiy , Shota Komatsu , Victor Mishnyakov , Nikolay Terziev , Nikita Zaigraev , Konstantin Zarembo

In this work, building up on [1] we present momentum space Ward identities related to broken higher spin symmetry as an alternate approach to computing correlators of spinning operators in interacting theories such as the quasi-fermionic…

High Energy Physics - Theory · Physics 2021-07-28 Sachin Jain , Renjan Rajan John , Vinay Malvimat