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A Fermion in 2+1 dimensions, with a mass function which depends on one spatial coordinate and passes through a zero ( a domain wall mass), is considered. In this model, originally proposed by Callan and Harvey, the gauge variation of the…

高能物理 - 理论 · 物理学 2009-10-22 Shailesh Chandrasekharan

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…

高能物理 - 理论 · 物理学 2009-10-31 H. Garcia-Compean , O. Obregon , C. Ramirez , M. Sabido

Recently, a duality web for three dimensional theories with Chern-Simons terms was proposed. This can be derived from a single bosonization type duality, for which various supporting arguments (but not a proof) were given. Here we…

高能物理 - 理论 · 物理学 2018-01-17 Horatiu Nastase , Carlos Nunez

We develop a technique that solders the dual aspects of some symmetry. Using this technique it is possible to combine two theories with such symmetries to yield a new effective theory. Some applications in two and three dimensional…

高能物理 - 理论 · 物理学 2009-10-31 R. Banerjee , C. Wotzasek

We give a construction of the abelian Chern-Simons gauge theory from the point of view of a 2+1 dimensional topological quantum field theory. The definition of the quantum theory relies on geometric quantization ideas which have been…

dg-ga · 数学 2010-11-19 Mihaela Manoliu

We examine the claim that the effective action of four-dimensional SU(2)_L gauge theory at high and low temperature contains a three-dimensional Chern-Simons term with coefficient being the chemical potential for baryon number. We perform…

高能物理 - 理论 · 物理学 2009-09-11 Jim McCarthy , Andy Wilkins

We study a three-dimensional symmetric Chern-Simons field theory with a general covariance and it turns out that the original Chern-Simons theory is just a gauge fixed action of the symmetric Chern-Simons theory whose constraint algebra…

高能物理 - 理论 · 物理学 2007-05-23 Won Tae Kim , Myung Seok Yoon

We construct an explicit local operator realization that reproduces Dirac fermion correlation functions in three spacetime dimensions within an Abelian Chern-Simons framework and use it to examine the conjectured operator and deformation…

高能物理 - 理论 · 物理学 2026-02-25 Vaibhav Wasnik

Abelian Chern-Simons gauge theory is known to possess a `$S$-self-dual' action where its coupling constant $k$ is inverted {\it i.e.} $k \leftrightarrow {1 \over k}$. Here a vector non-abelian duality is found in the pure non-abelian…

高能物理 - 理论 · 物理学 2009-11-07 H. Garcia-Compean , O. Obregon , C. Ramirez

We give a precise definition and produce a path-integral computation of the normalized partition function of the abelian U(1) Chern-Simons field theory defined in a general closed oriented 3-manifold. We use the Deligne-Beilinson formalism,…

数学物理 · 物理学 2015-05-29 E. Guadagnini , F. Thuillier

We study a $U(1) \times U(1)$ gauge theory discussing its vortex solutions and supersymmetric extension. In our set-upon the dynamics of one of two Abelian gauge fields is governed by a Maxwell term, the other by a Chern-Simons term. The…

高能物理 - 理论 · 物理学 2016-12-21 Edwin Ireson , Fidel A. Schaposnik , Gianni Tallarita

We systematically study 3d $\mathcal{N}=2$ dualities for $U(N_c)$ gauge theories with different CS levels for the abelian and the non-abelian factors. We derive such dualities by a gauging/ungauging procedure on other known dualities and by…

高能物理 - 理论 · 物理学 2022-03-14 Antonio Amariti , Simone Rota

We propose an explicit model, where an axionic domain wall dynamically localizes a U(1)-component of a nonabelian gauge theory living in a 3+1 dimensional bulk. The effective theory on the wall is 2+1d Maxwell-Chern-Simons theory with a…

高能物理 - 理论 · 物理学 2013-05-29 Daniel Flassig , Alexander Pritzel

We study the duality between theories of a fundamental scalar or fermion coupled to $U(N)$ Chern-Simons gauge theory at the level of the three-sphere partition function, or equivalently entanglement entropy across a circle. The duality…

高能物理 - 理论 · 物理学 2017-07-21 Simone Giombi

The theory of a spinor field interacting with a pure Chern-Simons gauge field in 2+1 dimensions is quantized. Dynamical and nondynamical variables are separated in a gauge-independent way. After the nondynamical variables are dropped, this…

高能物理 - 理论 · 物理学 2018-01-17 Qiong-gui Lin

The use of master actions to prove duality at quantum level becomes cumbersome if one of the dual fields interacts nonlinearly with other fields. This is the case of the theory considered here consisting of U(1) scalar fields coupled to a…

高能物理 - 理论 · 物理学 2009-11-11 D. Dalmazi , Elias L. Mendonca

The (2+1)-dimensional analog self-dual gravity which is obtained via spacetime dimension reduction of the (3+1)-dimensional Holst action without reducing the internal gauge group is studied. A Chern-Simons formulation for this theory is…

高能物理 - 理论 · 物理学 2024-10-15 Prince K. Osei

A local supersymmetric action for a (2+1)-dimensional system including gravity, the electromagnetic field and a Dirac spin-1/2 field is presented. The action is a Chern-Simons form for a connection of the OSp(2|2) group. All the fields…

高能物理 - 理论 · 物理学 2015-05-30 Pedro D. Alvarez , Mauricio Valenzuela , Jorge Zanelli

Starting from a $D=3$, $N=4$ supersymmetric theory for matter fields, a twist with a Grassmann parity change is defined which maps the theory into a gauge fixed, abelian $BF$ theory on curved 3-manifolds. After adding surface terms to this…

高能物理 - 理论 · 物理学 2009-10-22 R. Brooks , J. -G. Demers , C. Lucchesi

We study duality properties of actions for chiral boson fields in various space-time dimensions using D=2 and D=6 cases as examples. As a result we get dual covariant formulations of chiral bosons.

高能物理 - 理论 · 物理学 2007-05-23 Alexey Maznytsia , Christian R. Preitschopf , Dmitri Sorokin