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We recall various multiple integrals related to the isotropic square Ising model, and corresponding, respectively, to the n-particle contributions of the magnetic susceptibility, to the (lattice) form factors, to the two-point correlation…

Mathematical Physics · Physics 2009-11-13 A. Bostan , S. Boukraa , S. Hassani , J. -M. Maillard , J. -A. Weil , N. Zenine

We study two- and three-point correlation functions of chiral primary half-BPS operators in four-dimensional $\mathcal{N}=2$ superconformal circular, cyclic symmetric quiver theories. Using supersymmetric localization, these functions can…

High Energy Physics - Theory · Physics 2025-01-30 Gregory P. Korchemsky , Alessandro Testa

We compute correlation functions of chiral primary operators in N=2 superconformal theories at large N using a construction based on supersymmetric localization recently developed by Gerchkovitz et al. We focus on N=4 SYM as well as on…

High Energy Physics - Theory · Physics 2016-07-20 Diego Rodriguez-Gomez , Jorge G. Russo

We consider a general N=(2,2) non-linear sigma-model in (2,2) superspace. Depending on the details of the complex structures involved, an off-shell description can be given in terms of chiral, twisted chiral and semi-chiral superfields.…

High Energy Physics - Theory · Physics 2009-10-30 M. T. Grisaru , M. Massar , A. Sevrin , J. Troost

In this paper we reopen the discussion of gauging the two-dimensional off-shell (2,2) supersymmetric sigma models written in terms of semichiral superfields. The associated target space geometry of this particular sigma model is generalized…

High Energy Physics - Theory · Physics 2008-11-26 Willie Merrell , Diana Vaman

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

This paper discusses a procedure for the consistent coupling of gauge- and matter superfields to supersymmetric sigma-models on symmetric coset spaces of Kaehler type. We exhibit the finite isometry transformations and the corresponding…

High Energy Physics - Theory · Physics 2011-10-11 S. Groot Nibbelink , T. S. Nyawelo , J. W. van Holten

We systematically construct a class of two-dimensional $(2,2)$ supersymmetric gauged linear sigma models with phases in which a continuous subgroup of the gauge group is totally unbroken. We study some of their properties by employing a…

High Energy Physics - Theory · Physics 2015-06-17 Kentaro Hori , Johanna Knapp

We study gauged linear sigma models for noncompact Calabi-Yau manifolds described as a line bundle on a hypersurface in a projective space. This gauge theory has a unique phase if the Fayet-Iliopoulos parameter is positive, while there…

High Energy Physics - Theory · Physics 2010-04-05 Tetsuji Kimura

Motivated by the boost-invariant Glasma state in the initial stages in heavy-ion collisions, we perform classical-statistical simulations of SU(2) gauge theory in 2+1 dimensional space-time both with and without a scalar field in the…

High Energy Physics - Phenomenology · Physics 2019-11-27 K. Boguslavski , A. Kurkela , T. Lappi , J. Peuron

In this paper we explore basic aspects of nonabelian (0,2) GLSM's in two dimensions for unitary gauge groups, an arena that until recently has largely been unexplored. We begin by discussing general aspects of (0,2) theories, including…

High Energy Physics - Theory · Physics 2014-09-12 B. Jia , E. Sharpe , R. Wu

We develop techniques to study the correlation functions of "large operators" whose bare dimension grows parametrically with N, in SO(N) gauge theory. We build the operators from a single complex matrix. For these operators, the large N…

High Energy Physics - Theory · Physics 2015-06-12 Pawel Caputa , Robert de Mello Koch , Pablo Diaz

The geometry of (2,1) supersymmetric sigma-models with isometry symmetries is discussed. The gauging of such symmetries in superspace is then studied. We find that the coupling to the (2,1) Yang-Mills supermultiplet can be achieved provided…

High Energy Physics - Theory · Physics 2009-10-30 M. Abou Zeid , C. M. Hull

We study correlation functions for extremal supersymmetric black holes. It is necessary to take into account the strongly coupled nature of the boundary supergraviton mode. We consider the case with ${\cal N}=2$ supercharges which is the…

High Energy Physics - Theory · Physics 2024-08-28 Henry W. Lin , Juan Maldacena , Liza Rozenberg , Jieru Shan

The variety of consistent "gauging" deformations of supergravity theories in four dimensions depends on the choice of Lagrangian formulation. One important goal is to get the most general deformations without making hidden assumptions.…

High Energy Physics - Theory · Physics 2018-02-14 Marc Henneaux , Bernard Julia , Victor Lekeu , Arash Ranjbar

We study 4-dimensional $\mathcal{N}=2$ superconformal quiver gauge theories obtained with an orbifold projection from $\mathcal{N}=4$ SYM, and compute the 2- and 3-point correlation functions among chiral/anti-chiral single-trace scalar…

High Energy Physics - Theory · Physics 2022-10-19 M. Billo , M. Frau , A. Lerda , A. Pini , P. Vallarino

We study dynamics of two-dimensional non-abelian gauge theories with N=(0,2) supersymmetry that include N=(0,2) supersymmetric QCD and its generalizations. In particular, we present the phase diagram of N=(0,2) SQCD and determine its…

High Energy Physics - Theory · Physics 2014-04-23 Abhijit Gadde , Sergei Gukov , Pavel Putrov

Correlation functions in Euclidean conformal field theories in four dimensions are expressed as representations of the conformal group $SL(2,\H)$, $\H$ being the field of quaternions, on the configuration space of points. The…

High Energy Physics - Theory · Physics 2021-06-30 Aritra Pal , Koushik Ray

We study supersymmetric gauge theories in five dimensions, using their relation to the K-theory of the moduli spaces of torsion free sheaves. In the spirit of the BPS/CFT correspondence the partition function and the expectation values of…

Representation Theory · Mathematics 2013-08-13 Erik Carlsson , Nikita Nekrasov , Andrei Okounkov

We continue the development of the topological membrane approach to open and unoriented string theories. We study orbifolds of topologically massive gauge theory defined on the geometry $[0,1]\times\Sigma$, where $\Sigma$ is a generic…

High Energy Physics - Theory · Physics 2009-09-11 P. Castelo Ferreira , I. I. Kogan , R. J. Szabo
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