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We present an identity relating the partition function of N=4 supersymmetric QED to that of its dual under mirror symmetry. The identity is a generalized Fourier transform. Many known properties of abelian theories can be derived from this…

High Energy Physics - Theory · Physics 2010-02-03 Anton Kapustin , Matthew J. Strassler

We study observables and deformations of generalized Chern-Simons action and show how to apply these results to maximally supersymmetric gauge theories. We describe a construction of large class of deformations based on some results on the…

High Energy Physics - Theory · Physics 2013-04-30 M. V. Movshev , A. Schwarz

The Abelian Chern-Simons gauge theory is constructed on the three-dimensional spacetime lattice. This proposal introduces both lattice and dual lattice, and the gauge field on the dual lattice is expressed in terms of the gauge field on the…

High Energy Physics - Theory · Physics 2022-01-26 Bingnan Zhang

We study the Yang-Mills-Chern-Simons theory systematically in an effort to generalize the Coleman-Hill result to the non-Abelian case. We show that, while the Chern-Simons coefficient is in general gauge dependent in a non-Abelian theory,…

High Energy Physics - Theory · Physics 2009-10-31 F. T. Brandt , Ashok Das , J. Frenkel

We show that the ABJM theory, which is an N=6 superconformal U(N)*U(N) Chern-Simons gauge theory, can be studied for arbitrary N at arbitrary coupling constant by applying a simple Monte Carlo method to the matrix model that can be derived…

High Energy Physics - Theory · Physics 2015-06-04 Masanori Hanada , Masazumi Honda , Yoshinori Honma , Jun Nishimura , Shotaro Shiba , Yutaka Yoshida

We describe the Brown-Henneaux asymptotic symmetry of the general black holes in the Chern-Simons gauge theory of the gauge group $SL(2;{\bf R})_L\times SL(2;{\bf R})_R$. We make it clear that the vector-like subgroup $SL(2; {\bf R})_{L+R}$…

High Energy Physics - Theory · Physics 2016-08-25 Yuhsuke Yoshida , Takahiro Kubota

Mixed anomalies, higher form symmetries, two-group symmetries and non-invertible symmetries have proved to be useful in providing non-trivial constraints on the dynamics of quantum field theories. We study mixed anomalies involving discrete…

High Energy Physics - Theory · Physics 2023-02-08 Noppadol Mekareeya , Matteo Sacchi

General Relativity in 4 dimensions can be equivalently described as a dynamical theory of SO(3)-connections rather than metrics. We introduce the notion of asymptotically hyperbolic connections, and work out an analog of the…

General Relativity and Quantum Cosmology · Physics 2017-03-24 Joel Fine , Yannick Herfray , Kirill Krasnov , Carlos Scarinci

We investigate a class of quiver-type Chern-Simons gauge theories with some Chern-Simons couplings vanishing. The vanishing of the couplings means that the corresponding vector fields are auxiliary fields. We show that these theories…

High Energy Physics - Theory · Physics 2011-08-04 Yosuke Imamura , Keisuke Kimura

The holographic nonsupersymmetric renormalization group flows in four dimensions are found. The mass-deformed N=2, 4 Chern-Simons matter theories can be reproduced from N=1 Chern-Simons matter theory by putting some constraints in the mass…

High Energy Physics - Theory · Physics 2009-03-24 Changhyun Ahn

We study three-dimensional Chern-Simons theory with complex gauge group SL(2,C), which has many interesting connections with three-dimensional quantum gravity and geometry of hyperbolic 3-manifolds. We show that, in the presence of a single…

High Energy Physics - Theory · Physics 2014-11-18 Sergei Gukov

We construct the theory of non-abelian gauge antisymmetric tensor fields, which generalize the standard Yang-MIlls fields and abelian gauge p-forms. The corresponding gauge group acts on the space of inhomogeneous differential forms and it…

High Energy Physics - Theory · Physics 2008-11-26 S. N. Solodukhin

We construct N=1 d=3 AdS supergravity within the group manifold approach and compare it with Achucarro-Townsend Chern-Simons formulation of the same theory. We clarify the relation between the off-shell super gauge transformations of the…

High Energy Physics - Theory · Physics 2020-06-24 L. Castellani , C. A. Cremonini , P. A. Grassi

% A new, formal, non-combinatorial approach to invariants of % three-dimensional manifolds of Reshetikhin, Turaev and % Witten in the framework of non-perturbative topological % quantum Chern-Simons theory, corresponding to an arbitrary %…

High Energy Physics - Theory · Physics 2009-10-22 Boguslaw Broda

We study gauge symmetry in F-theory in light of global aspects. For this, we consider not only a simple (local) group, but also a semi-simple group with Abelian factors. Once we specify the complete gauge group by decomposing the…

High Energy Physics - Theory · Physics 2010-02-23 Kang-Sin Choi

The asymptotic structure of three-dimensional hypergravity without cosmological constant is analyzed. In the case of gravity minimally coupled to a spin-$5/2$ field, a consistent set of boundary conditions is proposed, being wide enough so…

High Energy Physics - Theory · Physics 2015-11-05 Oscar Fuentealba , Javier Matulich , Ricardo Troncoso

We demonstrate that the four and six-point tree-level amplitudes of N=6 superconformal Chern-Simons theory (ABJM) enjoy OSp(6|4) dual superconformal symmetry if one enlarges the dual superspace to include three additional Grassmann-even…

High Energy Physics - Theory · Physics 2011-03-28 Yu-tin Huang , Arthur E. Lipstein

We study three dimensional gauge theories with N=2 supersymmetry. We show that the Coulomb branches of such theories may be rendered compact by the dynamical generation of Chern-Simons terms and present a new class of mirror symmetric…

High Energy Physics - Theory · Physics 2009-10-31 Nick Dorey , David Tong

We construct a new class of topological surface defects in Chern-Simons theory with non-compact, non-Abelian gauge groups. These defects are characterized by isotropic subalgebras defined by solutions of the modified classical Yang-Baxter…

High Energy Physics - Theory · Physics 2024-12-17 Alex S. Arvanitakis , Lewis T. Cole , Saskia Demulder , Daniel C. Thompson

Abelian Chern-Simons gauge theory is known to possess a `$S$-self-dual' action where its coupling constant $k$ is inverted {\it i.e.} $k \leftrightarrow {1 \over k}$. Here a vector non-abelian duality is found in the pure non-abelian…

High Energy Physics - Theory · Physics 2009-11-07 H. Garcia-Compean , O. Obregon , C. Ramirez