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We clarify how mirror symmetry acts on 3d theories with N=2,3 or 4 supersymmetries and non-abelian Chern-Simons terms and then construct many new examples. We identify a new duality, geometric duality, that allows us to generate large…

High Energy Physics - Theory · Physics 2009-09-28 Kristan Jensen , Andreas Karch

In (2+1) dimensions, the Maxwell term $-(1/4) F_{\alpha\beta}F^{\alpha\beta}$ can be replaced by the Chern-Simons three-form $(\kappa/4)\epsilon^{\alpha\beta\gamma}A_\alpha F_{\beta\gamma}$, yielding a novel type of `electromagnetism'. This…

High Energy Physics - Theory · Physics 2011-04-15 C. Duval , P. A. Horvathy

We study Abelian Maxwell-Chern-Simons theory in three-dimensional $AdS$ black hole backgrounds for both integer and non-integer Chern-Simons coupling. Such theories can be derived from various string theory constructions, which we review in…

High Energy Physics - Theory · Physics 2015-06-22 Han-Chih Chang , Mitsutoshi Fujita , Matthias Kaminski

We consider topological twisting of recently constructed Chern-Simons-matter theories in three dimensions with N=4 or higher supersymmetry. We enumerate physically inequivalent twistings for each N, and find two different twistings for N=4,…

High Energy Physics - Theory · Physics 2009-10-12 Eunkyung Koh , Sangmin Lee , Sungjay Lee

A supersymmetric formulation of a three-dimensional SYM-Chern-Simons theory using light-cone quantization is presented, and the supercharges are calculated in light-cone gauge. The theory is dimensionally reduced by requiring all fields to…

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

We consider the superspace of D=3, N=5 supersymmetry using SO(5)/U(2) harmonic coordinates. Three analytic N=5 gauge superfields depend on three vector and six harmonic bosonic coordinates and also on six Grassmann coordinates.…

High Energy Physics - Theory · Physics 2008-12-25 B. M. Zupnik

We study three dimensional conformal field theories described by U(N) Chern-Simons theory at level k coupled to massless fermions in the fundamental representation. By solving a Schwinger-Dyson equation in lightcone gauge, we compute the…

High Energy Physics - Theory · Physics 2015-05-30 Simone Giombi , Shiraz Minwalla , Shiroman Prakash , Sandip P. Trivedi , Spenta R. Wadia , Xi Yin

We investigate D2-branes and D4-branes parallel to D8-branes. The low energy world volume theory on the branes is non-supersymmetric Chern-Simons theory. We identify the fundamental strings as the anyons of the 2+1 Chern-Simons theory and…

High Energy Physics - Theory · Physics 2010-02-03 John H. Brodie

We study Chern-Simons theory on 3-manifolds M that are circle-bundles over 2-dimensional orbifolds S by the method of Abelianisation. This method, which completely sidesteps the issue of having to integrate over the moduli space of…

High Energy Physics - Theory · Physics 2015-06-16 Matthias Blau , George Thompson

We revisit the 3d ${\cal N}=5$ Chern-Simons-Matter theory with orthosymplectic gauge group and its gravity dual from the perspective of generalized symmetries. We derive the corresponding 4d symmetry topological field theory from the…

High Energy Physics - Theory · Physics 2025-01-08 Oren Bergman , Francesco Mignosa

We construct invertible field theories generalizing abelian prequantum spin Chern-Simons theory to manifolds of dimension 4k+3 endowed with a Wu structure of degree 2k+2. After analysing the anomalies of a certain discrete symmetry, we…

Mathematical Physics · Physics 2018-08-13 Samuel Monnier

We construct some examples of D=3, N=4 GW theory and N=5 superconformal Chern-Simons matter theory by using the covariantly constant curvature of a quaternionic-Kahler manifold to construct the symplectic 3-algebra in the theories.…

High Energy Physics - Theory · Physics 2012-03-30 Fa-Min Chen

We introduce a class of 3d theories consisting of strongly-coupled ${\mathcal N}=4$ systems coupled to ${\mathcal N}=3$ Chern-Simons gauge multiplets, which exhibit ${\mathcal N}=4$ enhancements when a peculiar condition on the Chern-Simons…

High Energy Physics - Theory · Physics 2023-04-12 Benjamin Assel , Yuji Tachikawa , Alessandro Tomasiello

The leitmotif of this paper is the question of whether four- and higher even-dimensional Conformal Gravities do have a Chern-Simons pedigree. We show that Weyl gravity can be obtained as dimensional reduction of a five-dimensional…

General Relativity and Quantum Cosmology · Physics 2015-06-18 Rodrigo Aros , Danilo E. Diaz

Despite the nice geometrical properties of higher dimensional Chern-Simons (CS) supergravity theories these actions suffer from one major drawback, namely, their connection with the real world. After some quick remarks on three-dimensional…

High Energy Physics - Theory · Physics 2009-10-31 M. Banados

Electric and magnetic charges of a certain class of operators in N=2 large N quiver Chern-Simons theories are investigated. We consider only non-chiral theories, in which every bi-fundamental field appears with its conjugate representation.…

High Energy Physics - Theory · Physics 2009-04-04 Yosuke Imamura

We study anomalous transport phenomena induced by phase-space Berry curvature. For that purpose we construct a kinetic theory in $2d$ phase space when all abelian Berry curvatures are nonzero. We derive anomalous currents by calculating the…

Mesoscale and Nanoscale Physics · Physics 2017-04-05 Tomoya Hayata , Yoshimasa Hidaka

In this paper, we show how to discretize the abelian Chern-Simons gauge theory on generic planar lattices/graphs (with or without translational symmetries) embedded in arbitrary 2D closed orientable manifolds. We find that, as long as a…

Strongly Correlated Electrons · Physics 2015-10-01 Kai Sun , Krishna Kumar , Eduardo Fradkin

We show that matching anomalies under large gauge transformations and large diffeomorphisms can explain the appearance and non-renormalization of couplings in effective field theory. We focus on thermal effective field theory where we argue…

High Energy Physics - Theory · Physics 2015-12-15 Siavash Golkar , Savdeep Sethi

Globally conformal invariant quantum field theories in a D-dimensional space-time (D even) have rational correlation functions and admit an infinite number of conserved (symmetric traceless) tensor currents. In a theory of a scalar field of…

Mathematical Physics · Physics 2015-06-05 Ivan Todorov