Symmetries of abelian Chern-Simons theories and arithmetic
Sign Up to like & getrecommendations! Published in 2019 at "Journal of High Energy Physics"
DOI: 10.1007/jhep03(2021)006
Abstract: Abstract We determine the unitary and anti-unitary Lagrangian and quantum symmetries of arbitrary abelian Chern-Simons theories. The symmetries depend sensitively on the arithmetic properties (e.g. prime factorization) of the matrix of Chern-Simons levels, revealing interesting… read more here.
Keywords: simons theories; abelian chern; chern simons; theories arithmetic ... See more keywords
Non-existence of natural states for Abelian Chern–Simons theory
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Geometry and Physics"
DOI: 10.1016/j.geomphys.2017.01.015
Abstract: We give an elementary proof that Abelian Chern-Simons theory, described as a functor from oriented surfaces to C*-algebras, does not admit a natural state. Non-existence of natural states is thus not only a phenomenon of… read more here.
Keywords: natural states; chern simons; non existence; existence natural ... See more keywords
Existence theorems for a general 2 × 2 non-Abelian Chern–Simons–Higgs system over a torus
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Differential Equations"
DOI: 10.1016/j.jde.2017.03.017
Abstract: In this paper we study a general 2×2 non-Abelian Chern–Simons–Higgs system of the form Δui+1e2(∑j=12Kjieuj−∑j=12∑k=12KkjKjieujeuk)=4π∑j=1Niδpij(x),i=1,2 over a flat 2-torus T2, where e>0, δp is the Dirac measure at p, Ni∈N (i=1,2), K is a non-degenerate… read more here.
Keywords: non abelian; system; chern simons; general non ... See more keywords
Local well-posedness of non-abelian Chern-Simons-Higgs system in the Lorenz gauge
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Mathematical Physics"
DOI: 10.1063/1.4994061
Abstract: In this paper, we consider the non-abelian Chern-Simons-Higgs system in the Lorenz gauge. By exploiting the null structure of the system and using the Xs,b type spaces, we give a local well-posedness result of it. read more here.
Keywords: non abelian; system; chern simons; higgs system ... See more keywords