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We propose a duality for N=2 d=3 Chern-Simons gauge theories with orthogonal gauge groups and matter in the vector representation. This duality generalizes level-rank duality for pure Chern-Simons gauge theories with orthogonal gauge groups…

High Energy Physics - Theory · Physics 2011-04-05 Anton Kapustin

We investigate self-dualities in three-dimensional $\mathcal{N}=2$ supersymmetric gauge theories. The electric and magnetic theories share the same gauge group. The examples include $SU(2N)$, $SO(7)$ and $SO(8)$ with various matter…

High Energy Physics - Theory · Physics 2019-05-01 Keita Nii

The action for self-dual gauge fields that emerges from the recently constructed superstring field theory is found. The new superstring field theory reduces to that of Sen in a certain limit, and in this limit the new action for self-dual…

High Energy Physics - Theory · Physics 2026-02-27 Chris Hull

We consider the generators of gauge transformations with test functions which do not vanish on the boundary of a spacelike region of interest. These are known to generate the edge degrees of freedom in a gauge theory. In this paper, we…

High Energy Physics - Theory · Physics 2022-07-20 A. P. Balachandran , V. P. Nair , A. Pinzul , A. F. Reyes-Lega , S. Vaidya

We introduce a class of higher-order derivative models in (2,1) space-time dimensions. The models are described by a vector field, and contain a Proca-like mass term which prevents gauge invariance. We use the gauge embedding procedure to…

High Energy Physics - Theory · Physics 2008-11-26 D. Bazeia , R. Menezes , J. R. Nascimento , R. F. Ribeiro , C. Wotzasek

We review the general formalism of duality rotations for $\cal N$-extended (super)conformal gauge multiplets of arbitrary (super)spin in four dimensions, with ${\cal N} \geq 0$. Self-dual models for a vector field (${\cal N}=0$) and for…

High Energy Physics - Theory · Physics 2026-02-05 Sergei M. Kuzenko

We construct a two-dimensional dual field theory induced at the boundary of three-dimensional Chern-Simons gravity invariant under the Maxwell algebra. The resulting action takes the form of a Maxwellian extension of the flat Liouville…

High Energy Physics - Theory · Physics 2025-06-10 Felix Höfenstock , Patricio Salgado-Rebolledo

We study the connection between the Green functions of the Maxwell-Chern-Simons theory and a self-dual model by starting from the phase-space path integral representation of the Deser-Jackiw master Lagrangian. Their equivalence is…

High Energy Physics - Theory · Physics 2009-10-28 R. Banerjee , H. J. Rothe , K. D. Rothe

We review the recently constructed `double field theory' which introduces in addition to the conventional coordinates associated to momentum modes coordinates associated to winding modes. Thereby, T-duality becomes a global symmetry of the…

High Energy Physics - Theory · Physics 2015-05-27 Olaf Hohm

In this letter the Chern-Simons field theories are studied in the Coulomb gauge using the Dirac's canonical formalism for constrained systems. As a strategy, we first work out the constraints and then quantize, replacing the Dirac brackets…

High Energy Physics - Theory · Physics 2009-10-30 Franco Ferrari , Ignazio Lazzizzera

We revisit the lore establishing the allowed space of field redefinitions and show that there are essentially no restrictions. Our conclusions hold to all orders in perturbation theory and for any dispersion relation. Field redefinitions…

High Energy Physics - Theory · Physics 2025-10-07 Timothy Cohen , Matthew Forslund , Andreas Helset

We generalize the Galileon duality to any single scalar field Lagrangian coupled locally to any matter field. Under the duality, a generalized Galileon maps into another generalized Galileon via a one parameter group of transformations,…

High Energy Physics - Theory · Physics 2014-07-30 Claudia de Rham , Luke Keltner , Andrew J. Tolley

We show that duality transformations of linearized gravity in four dimensions, i.e., rotations of the linearized Riemann tensor and its dual into each other, can be extended to the dynamical fields of the theory so as to be symmetries of…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Marc Henneaux , Claudio Teitelboim

A general non-relativistic field theory on the plane with couplings to an arbitrary number of abelian Chern-Simons gauge fields is considered. Elementary excitations of the system are shown to exhibit fractional and mutual statistics. We…

High Energy Physics - Theory · Physics 2009-10-22 Chanju Kim , Choonkyu Lee , Pyungwon Ko , Bum-Hoon Lee , Hyunsoo Min

We consider here a generalization of the Abelian Higgs model in curved space, by adding a Chern--Simons term. The static equations are self-dual provided we choose a suitable potential. The solutions give a self-dual Maxwell--Chern--Simons…

High Energy Physics - Theory · Physics 2009-10-22 Daniel Cangemi , Choonkyu Lee

A "Master" gauge theory is constructed in 2+1-dimensions through which various gauge invariant and gauge non-invariant theories can be studied. In particular, Maxwell-Chern-Simons, Maxwell-Proca and Maxwell-Chern-Simons -Proca models are…

High Energy Physics - Theory · Physics 2009-10-31 Subir Ghosh

We study 2+1 Chern-Simons gravity at the classical action level. In particular we rederive the linear combinations of the ``standard'' and ``exotic'' Einstein actions, from the (anti) self-duality of the ``internal'' Lorentzian indices. The…

High Energy Physics - Theory · Physics 2009-10-31 H. Garcia-Compean , O. Obregon , C. Ramirez , M. Sabido

For a recently proposed pure gauge theory in three dimensions, without a Chern-Simons term, we calculate the static interaction potential within the structure of the gauge-invariant variables formalism. The result coincides with that of the…

High Energy Physics - Theory · Physics 2009-11-10 Patricio Gaete

We explore the role of the dilaton field on higher derivative supergravity within the framework of Double Field Theory and use it to fix the Lorentz non covariant field redefinitions connecting the metric and dilaton fields with the duality…

High Energy Physics - Theory · Physics 2022-05-25 Walter H. Baron

Given two conformal field theories related to each other by a marginal perturbation, and string field theories constructed around such backgrounds, we show how to construct explicit redefinition of string fields which relate these two…

High Energy Physics - Theory · Physics 2009-09-15 Ashoke Sen