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We study the nonrelativistic limit of the $N=2$ supersymmetric Chern-Simons matter system. We show that in addition to Galilean invariance the model admits a set of symmetries generated by fermionic charges, which can be interpreted as an…

High Energy Physics - Theory · Physics 2015-06-26 M. Leblanc , G. Lozano , H. Min

We extend the perturbative approach developed in an earlier work to deal with Lagrangians which have arbitrary higher order time derivative terms for both bosons and fermions. This approach enables us to find an effective Lagrangian with…

High Energy Physics - Theory · Physics 2009-11-07 Tai-Chung Cheng , Pei-Ming Ho , Mao-Chuang Yeh

Using a first order Chern-Simons-like formulation of gravity we systematically construct higher-derivative extensions of general relativity in three dimensions. The construction ensures that the resulting higher-derivative gravity theories…

High Energy Physics - Theory · Physics 2015-06-19 Hamid R. Afshar , Eric A. Bergshoeff , Wout Merbis

Cosmic strings are considered in two types of gauged sigma models, which generalize the gravitating Abelian Higgs model. The two models differ by whether the U(1) kinetic term is of the Maxwell or Chern-Simons form. We obtain the…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Y. Verbin , S. Madsen , A. L. Larsen

We study systematically the higher order corrections to the parity violating part of the effective action for the Abelian Chern-Simons theory in 2+1 dimensions, using the method of derivative expansion. We explicitly calculate the parity…

High Energy Physics - Theory · Physics 2008-11-26 F. T. Brandt , Ashok Das , J. Frenkel , J. C. Taylor

Target space duality is one of the most profound properties of string theory. However it customarily requires that the background fields satisfy certain invariance conditions in order to perform it consistently; for instance the vector…

High Energy Physics - Theory · Physics 2016-05-17 Athanasios Chatzistavrakidis , Andreas Deser , Larisa Jonke

The gauge invariance analysis of theories described in noncommutative (NC) space-times can lead us to interesting results since noncommutativity is one of the possible paths to investigate quantum effects in classical theories such as…

High Energy Physics - Theory · Physics 2016-10-12 Everton M. C. Abreu , Jorge A. Neto , Rafael L. Fernandes , Albert C. R. Mendes

We consider here the Chern-Simons field theory with gauge group SU(N) in the presence of a gravitational background that describes a two-dimensional expanding ``universe". Two special cases are treated here in detail: the spatially flat…

High Energy Physics - Theory · Physics 2009-10-22 Franco Ferrari

By mapping the relativistic version of the Chern-Simons-Landau-Ginzburg theory in 2+1 dimensions to the 3D lattice Villain x-y model coupled with the Chern-Simons gauge field, we investigate phase transitions of Chern-Simons bosons in the…

Condensed Matter · Physics 2008-12-18 Leonid P. Pryadko , Shou-Cheng Zhang

According to Two-Time Physics, there is more to space-time than can be garnered with the ordinary formulation of physics. Two-Time Physics has shown that the Standard Model of Particles and Forces is successfully reproduced by a two-time…

High Energy Physics - Theory · Physics 2008-11-26 Itzhak Bars , Shih-Hung Chen , Guillaume Quelin

This work aims to investigate the classical-level duality between the $SIM(1)$-Maxwell-Chern-Simons (MCS) model and its self-dual counterpart. Initially, our focus is on free-field cases to establish equivalence through two distinct…

High Energy Physics - Theory · Physics 2023-12-04 Fernando M. Belchior , Roberto V. Maluf

We show that dualization of Stueckelberg-like massive gauge theories and $B\wedge F$ models, follows form a general p-dualization of interacting theories in d spacetime dimensions. This is achieved by a particular choice of the external…

High Energy Physics - Theory · Physics 2009-10-31 A. Smailagic , E. Spallucci

We consider the target space theory of bosonic and heterotic string theory to first order in $\alpha'$ compactified to three dimensions, using a formulation that is manifestly T-duality invariant under ${\rm O}(d,d,\mathbb{R})$ with $d=23$…

High Energy Physics - Theory · Physics 2023-08-02 Camille Eloy , Olaf Hohm , Henning Samtleben

We relate the unconstrained `double metric' of the `$\alpha'$-geometry' formulation of double field theory to the constrained generalized metric encoding the spacetime metric and b-field. This is achieved by integrating out auxiliary field…

High Energy Physics - Theory · Physics 2016-03-23 Olaf Hohm , Barton Zwiebach

We show that the classical non-abelian pure Chern-Simons action is related to nonrelativistic models in (2+1)-dimensions, via reductions of the gauge connection in Hermitian symmetric spaces. In such models the matter fields are coupled to…

High Energy Physics - Theory · Physics 2007-05-23 L. Martina , O. K. Pashaev , G. Soliani

It has recently pointed out that a four-dimensional analog of Chern-Simons theory provides an elegant framework for understanding integrable models with spectral parameters. The goal of this short note is to better understand the relation…

High Energy Physics - Theory · Physics 2020-01-13 Masahito Yamazaki

We study 2+1 dimensional gauge theories with a Chern-Simons term and a fermion in the adjoint representation. We apply general considerations of symmetries, anomalies, and renormalization group flows to determine the possible phases of the…

High Energy Physics - Theory · Physics 2018-07-25 Jaume Gomis , Zohar Komargodski , Nathan Seiberg

We study Dirac fermions in two spatial dimensions (2D) coupled to strongly fluctuating U(1) gauge fields in the presence of quenched disorder. Such systems are dual to theories of free Dirac fermions, which are vortices of the original…

Strongly Correlated Electrons · Physics 2018-01-03 Hart Goldman , Michael Mulligan , S. Raghu , Gonzalo Torroba , M. Zimet

In condensed matter physics gauge symmetries other than the U(1) of electromagnetism are of an emergent nature. Two emergence mechanisms for gauge symmetry are well established: the way these arise in Kramers-Wannier type local-global…

Strongly Correlated Electrons · Physics 2012-02-23 J. Zaanen , A. J. Beekman

Gauging and duality transformations, two of the most useful tools in many-body physics, are shown to be equivalent up to constant depth quantum circuits in the case of one-dimensional quantum lattice models. This is demonstrated by making…

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