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We consider $\mathcal N=2$ $SU(2)$ gauge theories in four dimensions (pure or mass deformed) and discuss the properties of the simplest chiral observables in the presence of a generic $\Omega$-deformation. We compute them by equivariant…

High Energy Physics - Theory · Physics 2017-05-24 Matteo Beccaria , Alberto Fachechi , Guido Macorini

The finite form of the $N=2$ super-Weyl transformations in the chiral and twisted-chiral irreducible formulations of the two-dimensional $N=2$ superfield supergravity are found in $N=2$ superspace. The super-Weyl anomaly of the $N=2$…

High Energy Physics - Theory · Physics 2010-04-06 Sergei V. Ketov , Sven-Olaf Moch

In this paper we show that there exists a new class of topological field theories, whose correlators are intersection numbers of cohomology classes in a constrained moduli space. Our specific example is a formulation of 2D topological…

High Energy Physics - Theory · Physics 2009-10-28 D. Anselmi , P. Fre' , L. Girardello , P. Soriani

We study interacting massive N=(2,2) supersymmetric field theories in two dimensions which arise from deforming conformal field theories with a continuous spectrum. Firstly, we deform N=2 superconformal Liouville theory with relevant…

High Energy Physics - Theory · Physics 2018-08-15 Songyuan Li , Jan Troost

We study the implications of non-invertible chiral symmetry in a four-dimensional U(1) gauge theory coupled to massless fermions with electromagnetic $SL(2,\mathbb{Z})$ duality. This is done by deriving the Adler-Bell-Jackiw anomaly of…

High Energy Physics - Theory · Physics 2025-09-19 Gongjun Choi , Tony Gherghetta , John Terning

We discuss the large N limit of the (2,0) field theory in six dimensions. We do this by assuming the validity of Maldacena's conjecture of the correspondence between large N gauge theories and supergravity backgrounds, here $AdS_7\times…

High Energy Physics - Theory · Physics 2009-02-23 Robert G. Leigh , Moshe Rozali

Many theories of nonlinear electrodynamics (NLED) that have been proposed in physical contexts involving strong fields are causal for weak fields but acausal for strong fields. We show that for any such theory there is a unique causal and…

High Energy Physics - Theory · Physics 2024-05-21 Jorge G. Russo , Paul K. Townsend

We elaborate on conformal higher-spin gauge theory in three-dimensional (3D) curved space. For any integer $n>2$ we introduce a conformal spin-$\frac{n}{2}$ gauge field $h_{(n)} =h_{\alpha_1\dots \alpha_n}$ (with $n$ spinor indices) of…

High Energy Physics - Theory · Physics 2018-11-14 Sergei M. Kuzenko , Michael Ponds

We give a prescription for N=1 supersymmetrization of any (four-dimensional) nonlinear electrodynamics theory with a Lagrangian density satisfying a convexity condition that we relate to semi-classical unitarity. We apply it to the…

High Energy Physics - Theory · Physics 2023-03-08 Igor Bandos , Kurt Lechner , Dmitri Sorokin , Paul K. Townsend

We show that every Galileon theory admits a dual formulation as a Galileon theory with new operator coefficients. In n dimensions a free scalar field in Minkowski spacetime is dual to a (n+1)-th order Galileon theory which exhibits the…

High Energy Physics - Theory · Physics 2014-05-07 Claudia de Rham , Matteo Fasiello , Andrew J. Tolley

We investigate a large class of $\mathcal{N} = (2, 2)$ supersymmetric field theories in two dimensions, which contains the Murugan-Stanford-Witten model, and can be naturally regarded as a disordered generalization of the two-dimensional…

High Energy Physics - Theory · Physics 2024-06-05 Chi-Ming Chang , Xiaoyang Shen

We analyze the phase structure of supersymmetric chiral gauge theories with gauge group SU(N), an antisymmetric, and F<N+4 flavors, in the presence of a cubic superpotential. When F=N+3 the theory flows to a superconformal fixed point in…

High Energy Physics - Theory · Physics 2015-05-28 Nathaniel Craig , Rouven Essig , Anson Hook , Gonzalo Torroba

The strong coupling physics of two dimensional gravity at C=7, 13, 19 is deciphered, by building up on previous works along the same line (for a recent review, of the background material, see hep-th/9408069). It is shown that chirality…

High Energy Physics - Theory · Physics 2009-10-28 Jean-Loup Gervais , Jean-François Roussel

We investigate the interplay between T-duality and (2+1)- dimensional electrodynamics, revealing a relationship between short and large length scales of the gauge potential. Our findings demonstrate that the electrostatic potential energy…

High Energy Physics - Theory · Physics 2025-12-25 Patricio Gaete , Piero Nicolini

We discuss non-abelian $SU(N_c)$ gauge theory coupled to an adjoint chiral superfield $X$, and a number of fundamental chiral superfields $Q^i$. Using duality, we show that turning on a superpotential $W(X)=\Tr\sum_{l=1}^k g_l X^{l+1}$…

High Energy Physics - Theory · Physics 2009-07-09 D. Kutasov , A. Schwimmer

The problem of maintaining scale and conformal invariance in Maxwell and general N-form gauge theories away from their critical dimension d=2(N+1) is analyzed.We first exhibit the underlying group-theoretical clash between…

High Energy Physics - Theory · Physics 2008-11-26 S. Deser , A. Schwimmer

Short distance scaling limits of a class of integrable models on two-dimensional Minkowski space are considered in the algebraic framework of quantum field theory. Making use of the wedge-local quantum fields generating these models, it is…

Mathematical Physics · Physics 2012-01-06 Henning Bostelmann , Gandalf Lechner , Gerardo Morsella

We show that Maxwell's electrodynamics in vacuum is invariant under active transformations of the metric. These metrics are related by disformal mappings induced by derivatives of the gauge vector $A_{\mu}$ such that the gauge symmetry is…

General Relativity and Quantum Cosmology · Physics 2013-07-17 E. Goulart , F. T. Falciano

Chiral orbifold models are defined as gauge field theories with a finite gauge group $\Gamma$. We start with a conformal current algebra A associated with a connected compact Lie group G and a negative definite integral invariant bilinear…

High Energy Physics - Theory · Physics 2014-11-18 Victor G. Kac , Ivan T. Todorov

In recent work, we demonstrated that the confined-phase spectrum of non-supersymmetric pure Yang-Mills theory coincides with the spectrum of the chiral sector of a two-dimensional conformal field theory in the large-$N$ limit. This was done…

High Energy Physics - Theory · Physics 2016-07-20 Gökçe Başar , Aleksey Cherman , Keith R. Dienes , David A. McGady