Aspects of Chern-Simons Theory

Abstract

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.

76 pages, Latex, 9 figures (epsfig); Les Houches Lectures 1998

References in corpus (12)

• Self-Dual Chern-Simons Theories
• On The Finite Temperature Chern-Simons Coefficient
• Gauge Invariance, Finite Temperature and Parity Anomaly in D=3
• First Order Vortex Dynamics
• Induced Parity Breaking Term at Finite Temperature
• From Feynman's Wave Function to the Effective Theory of Vortex Dynamics
• Nonrelativistic Chern-Simons theory for the Repulsive Bose Gas
• Vortex Dynamics in Self-Dual Chern-Simons Higgs Systems
• Spontaneous Symmetry Breaking and the Renormalization of the Chern-Simons Term
• Gauge Invariance and Effective Actions in D=3 at Finite Temperature
• Moduli Space Dynamics of a First-Order Vortex System
• Field Theory of the Fractional Quantum Hall Effect-I

Cited by in corpus (55)

• Aspects of AdS/BCFT
• Gravity Dual of a Quantum Hall Plateau Transition
• Parity-odd effects and polarization rotation in graphene
• Generalized self-dual Chern-Simons vortices
• Nonperturbative light-front Hamiltonian methods
• Relating U(N)xU(N) to SU(N)xSU(N) Chern-Simons Membrane theories
• Counting Domain Walls in N=1 Super Yang-Mills Theory
• Non-local topological electromagnetic phases of matter
• Non-Abelian Chern-Simons Vortices
• Adiabatic limit and the slow motion of vortices in a Chern-Simons-Schrödinger system
• Spontaneously Broken Gauge Theories and the Coset Construction
• The Dynamics of Chern-Simons Vortices
• Fractons and exotic symmetries from branes
• Multi-vortices are Wall Vortices: A Numerical Proof
• Pseudo Quantum Electrodynamics and Chern-Simons theory Coupled to Two-dimensional Electrons
• Non Abelian Chern-Simons-Higgs solutions in (2+1) dimensions
• New point-like sources and a conducting surface in Maxwell-Chern-Simons electrodynamics
• Computing noncommutative Chern-Simons theory radiative corrections on the back of an envelope
• Higher order derivatives extension of Maxwell-Chern-Simons electrodynamics in the presence of field sources and material boundaries
• Charged Nielsen-Olesen vortices from a Generalized Abelian Chern-Simons-Higgs Theory
• Topological magnon-photon interaction for cavity magnonics
• Self-dual solitons in a generalized Chern-Simons baby Skyrme model
• Anomalously light mesons in a (1+1)-dimensional supersymmetric theory with fundamental matter
• Simulation of Dimensionally Reduced SYM-Chern-Simons Theory
• Emergent Chern-Simons excitations due to electron--phonon interaction
• Self-Dual Soliton Solution in a Generalized Jackiw-Pi Model
• Half-integer anomalous currents in 2D materials from a QFT viewpoint
• Uniqueness of topological multi-vortex solutions for a skew-symmetric Chern-Simons system
• Chiral Edge Modes in Helmholtz-Onsager Vortex Systems
• Fluctuations and magnetoresistance oscillations near the half-filled Landau level
• Properties of the Bound States of Super-Yang-Mills-Chern-Simons Theory
• Approximate BPS states
• Localization and Non-Renormalization in Chern-Simons Theory
• Casimir force due to condensed vortices in a plane
• Higher derivative Chern-Simons extension in the noncommutative QED${}_3$
• Gauge Invariant Factorisation and Canonical Quantisation of Topologically Massive Gauge Theories in Any Dimension
• Chaos in $SU(2)$ Yang-Mills Chern-Simons Matrix Model
• AdS Phase Transitions at finite κ
• Magnetic Symmetries and Vortices In Chern-Simons Theories
• Non-static Dimensional Reduction of QED_3 at Finite Temperature
• Natural and bionic neuronal membranes: possible sites for quantum biology
• Topological structure of the vortex solution in Jackiw-Pi model
• Non-Perturbative Dynamics, Pair Condensation, Confinement and Dynamical Masses in Massless QED2+1
• Mapping class group and U(1) Chern-Simons theory on closed orientable surfaces
• Constructing the theory at the boundary, its dynamics and degrees of freedom
• Emergent Higgsless Superconductivity
• Vortices with source, FQHE and nontrivial statistics in 2+1 dimensions
• Entanglement Spectroscopy and probing the Li-Haldane Conjecture in Topological Quantum Matter
• Emission Distribution for the quantas of Maxwell-Chern-Simon Gauge Field coupled to External Current
• Non-perturbative Aspects of Quantum Field Theories from Holography
• Chern-Simons Gauge Invariance and Boundary Conformal Fields
• Graphene membranes and the Dirac-Born-Infeld action
• Duality and Self-duality of the Spin-1 Model in the Covariant Operator Formalism
• Medium Generated Gap in Gravity and a 3d Gauge Theory
• Note on generalization of Jackiw-Pi Vortices