# Aspects Of Chern-Simons Theory

@inproceedings{Dunne1999AspectsOC, title={Aspects Of Chern-Simons Theory}, author={Gerald V. Dunne}, year={1999} }

Lectures at the 1998 Les Houches Summer School: Topological Aspects of Low Dimensional Systems. These lectures contain an introduction to various aspects of Chern-Simons gauge theory: (i) basics of planar field theory, (ii) canonical quantization of Chern-Simons theory, (iii) Chern-Simons vortices, and (iv) radiatively induced Chern-Simons terms.

## 271 Citations

Chern–Simons Theory in a Knotshell

- Mathematics
- 2021

In this pedagogical review, we introduce and study a three-dimensional topological field theory called Chern–Simons theory. We begin with the phenomenology of the U(1) action: we discuss its…

Dynamics of Chern-Simons vortices

- Physics, Mathematics
- 2008

We study vortex dynamics in three-dimensional theories with Chern-Simons interactions. The dynamics is governed by motion on the moduli space M in the presence of a magnetic field. For Abelian…

Chern Simons Theory in a Geometric Representation

- Physics
- 2000

We quantize the Maxwell Chern Simons theory in a geometric representation that generalizes the Abelian Loop Representation of Maxwell theory. We find that in the physical sector, the model can be…

Maxwell Chern-Simons theory in a geometric representation

- Physics
- 2001

We quantize the Maxwell Chern Simons theory in a geometric representation that generalizes the Abelian Loop Representation of Maxwell theory. We find that in the physical sector, the model can be…

Induced Chern-Simons action on noncommutative torus

- Mathematics, Physics
- 2007

We compute a Chern–Simons term induced by the fermions on noncommutative torus interacting with two U(1) gauge fields. For rational noncommutativity θ∝P/Q we find a new mixed term in the action which…

Canonical quantization of lattice Higgs-Maxwell-Chern-Simons fields: Krein Self-adjointness

- Mathematics
- 2006

It is shown how techniques from constructive quantum field theory may be applied to indefinite metric gauge theories in Hilbert space for the case of a Higgs-Maxwell-Chern-Simons theory on a lattice.…

Localization and non-renormalization in Chern-Simons theory

- PhysicsJournal of High Energy Physics
- 2019

A bstractWe revisit and clarify some aspects of perturbative renormalization in pure Chern-Simons theory by means of a localization principle associated with an underlying supersymmetry. This…

Charged Nielsen-Olesen vortices from a Generalized Abelian Chern-Simons-Higgs Theory

- Mathematics
- 2013

We consider a generalization of abelian Chern-Simons-Higgs model by introducing a nonstandard kinetic term. In particular we show that the Bogomolnyi equations of the abelian Higgs theory may be…

Magnetic symmetries and vortices in Chern-Simons theories

- Physics
- 2000

We study the locality properties of the vortex operators in compact U(1) Maxwell-Chern-Simons and SU(N) Yang-Mills-Chern-Simons theories in 2+1 dimensions. We find that these theories do admit local…

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It is shown that for a specific choice of the Higgs potential the vortex satisfies a set of Bogomol'nyi-type, or self-duality, equations in an Abelian Chern-Simons theory with spontaneous symmetry breaking.

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