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We propose an action to describe high spin topologically massive gravity with a negative cosmological constant. With the frame-like fields and spin connections being combined into two gauge fields, the action includes two gauge field…

High Energy Physics - Theory · Physics 2015-05-30 Bin Chen , Jiang Long

We study the behaviour of Wilson and 't Hooft loop operators for the 2+1 dim. Abelian-Higgs model with Chern-Simons term. The phase of topological symmetry breaking where the vortex field condenses, found by Samuel for the model in the…

High Energy Physics - Theory · Physics 2007-05-23 P. W. Irwin , M. B. Paranjape

We study the Quantum Field Theory of nonrelativistic bosons coupled to a Chern--Simons gauge field at nonzero particle density. This field theory is relevant to the study of anyon superconductors in which the anyons are described as {\bf…

High Energy Physics - Theory · Physics 2015-06-26 Nathan Weiss

Fracton order is an intriguing new type of order which shares many common features with topological order, such as topology-dependent ground state degeneracies, and excitations with mutual statistics. However, it also has several…

Strongly Correlated Electrons · Physics 2020-07-01 Yizhi You , Trithep Devakul , S. L. Sondhi , F. J. Burnell

It is shown that a charge-neutral spin-1 exciton, realizable only in planar systems like graphene, can effectively be used for controlled spin transport in such media. The excitonic bound state is destabilized by quantum fluctuations,…

High Energy Physics - Theory · Physics 2015-07-02 Kumar Abhinav , Prasanta K. Panigrahi

2+1D multi-component $U(1)$ gauge theories with a Chern-Simons (CS) term provide a simple and complete characterization of 2+1D Abelian topological orders. In this paper, we extend the theory by taking the number of component gauge fields…

Strongly Correlated Electrons · Physics 2022-07-29 Xiuqi Ma , Wilbur Shirley , Meng Cheng , Michael Levin , John McGreevy , Xie Chen

In this paper, we consider spin-3 Chern-Simons-like theories of gravity as extended theories of spin-3 gravity in (2+1)- dimension. In order to determine the number of local degrees of freedom we present the Hamiltonian formulation of these…

High Energy Physics - Theory · Physics 2016-03-10 M. R. Setare , H. Adami

The relation between Einstein gravity and the Chern-Simons gauge theory of the Poincare' group is discussed at the classical level.

High Energy Physics - Theory · Physics 2009-10-22 Andrea Cappelli , conference proceedings

A model-independent formulation of anyons as spinning particles is presented. The general properties of the classical theory of (2+1)-dimensional relativistic fractional spin particles and some properties of their quantum theory are…

High Energy Physics - Theory · Physics 2012-03-15 J. L. Cortes , M. S. Plyushchay

We continue our numerical Monte Carlo simulation of a gas of closed loops on a 3 dimensional lattice, however now in the presence of a topological term added to the action corresponding to the total linking number between the loops. We…

High Energy Physics - Lattice · Physics 2010-11-11 R. MacKenzie , F. Nebia-Rahal , M. B. Paranjape , J. Richer

Starting with three dimensional Chern--Simons theory with gauge group $Sl(N,R)$, we derive an action $S_{cov}$ invariant under both left and right $W_N$ transformations. We give an interpretation of $S_{cov}$ in terms of anomalies, and…

High Energy Physics - Theory · Physics 2009-10-22 Jan de Boer , Jacob Goeree

In three-dimensional pseudo-Riemannian manifolds, the Cotton tensor arises as the variation of the gravitational Chern-Simons action with respect to the metric. It is Weyl-covariant, symmetric, traceless and covariantly conserved.…

High Energy Physics - Theory · Physics 2023-12-21 Olivera Miskovic , Rodrigo Olea , P. Marios Petropoulos , David Rivera-Betancour , Konstantinos Siampos

The loop representation formulation of non-relativistic particles coupled with abelian gauge fields is studied. Both Maxwell and Chern-Simons interactions are separately considered. It is found that the loop-space formulations of these…

High Energy Physics - Theory · Physics 2014-11-18 Ernesto Fuenmayor , Lorenzo Leal , Ryan Revoredo

We explore thermodynamic contributions to the three-dimensional de Sitter horizon originating from metric and Chern-Simons gauge field fluctuations. In Euclidean signature these are computed by the partition function of gravity coupled to…

High Energy Physics - Theory · Physics 2022-01-14 Dionysios Anninos , Eleanor Harris

This work completes the classification of the cubic vertices for arbitrary spin massless bosons in three dimensions started in a previous companion paper by constructing parity-odd vertices. Similarly to the parity-even case, there is a…

High Energy Physics - Theory · Physics 2018-06-06 Pan Kessel , Karapet Mkrtchyan

We study the canonical description of the axisymmetric vacuum in 2+1 dimensional gravity, treating Einstein's gravity as a Chern Simons gauge theory on a manifold with the restriction that the dreibein is invertible. Our treatment is in the…

General Relativity and Quantum Cosmology · Physics 2017-09-13 Souvik Sarkar , Cenalo Vaz

We present a three-dimensional Chern-Simons gravity based on a deformation of the Maxwell algebra. This symmetry allows introduction of a non-vanishing torsion to the Maxwell Chern-Simons theory, whose action recovers the Mielke-Baelker…

High Energy Physics - Theory · Physics 2020-11-02 H. Adami , P. Concha , E. Rodriguez , H. R. Safari

The conventional Brownian motion in harmonic systems has provided a deep understanding of a great diversity of dissipative phenomena. We address a rather fundamental microscopic description for the (linear) dissipative dynamics of…

Quantum Physics · Physics 2019-01-07 Antonio A. Valido

We give an explicitly gauge invariant canonical analysis of linearized quadratic gravity theories in three dimensions for both flat and de-Sitter backgrounds. In flat backgrounds, we also study the effects of gravitational Chern-Simons…

High Energy Physics - Theory · Physics 2010-05-19 Ibrahim Gullu , Tahsin Cagri Sisman , Bayram Tekin

[abridged] Chern-Simons (CS) modified gravity is a 4D effective theory that descends both from string theory and loop quantum gravity, and that corrects the Einstein-Hilbert action by adding the product of a scalar field and the…

General Relativity and Quantum Cosmology · Physics 2009-11-06 Carlos F. Sopuerta , Nicolas Yunes