Boundary WZW, G/H, G/G and CS theories

Abstract

We extend the analysis of the canonical structure of the Wess-Zumino-Witten theory to the bulk and boundary coset G/H models. The phase spaces of the coset theories in the closed and in the open geometry appear to coincide with those of a double Chern-Simons theory on two different 3-manifolds. In particular, we obtain an explicit description of the canonical structure of the boundary G/G coset theory. The latter may be easily quantized leading to an example of a two-dimensional topological boundary field theory.

latex, 33 pages, 21 figures

Cited by in corpus (47)

• Edge modes and corner ambiguities in 3d Chern-Simons theory and gravity
• Branes in the 2D black hole
• On the hierarchy of symmetry breaking D-branes in group manifolds
• Abelian and non-Abelian branes in WZW models and gerbes
• Organizing boundary RG flows
• Little Strings, Long Strings, and Fuzzballs
• Restoring Unitarity in the q-Deformed World-Sheet S-Matrix
• N=6 Superspace Constraints, SUSY Enhancement and Monopole Operators
• Asymmetric Cosets
• D-branes on group manifolds and fusion rings
• Averaging over moduli in deformed WZW models
• Defect loops in gauged Wess-Zumino-Witten models
• Gauging the Wess-Zumino term of a sigma model with boundary
• Limits and Degenerations of Unitary Conformal Field Theories
• Factorization Conjecture and the Open/Closed String Correspondence
• Semiclassical description of D-branes in SL(2)/U(1) gauged WZW model
• Covariant canonical formulations of classical field theories
• D-branes in a Big Bang/Big Crunch Universe: Nappi-Witten Gauged WZW Model
• D-branes in 2d Lorentzian black hole
• D-branes in $\lambda$-deformations
• The FZZ duality with boundary
• The Structure of Non-Abelian Kinks
• On moment maps associated to a twisted Heisenberg double
• D-branes in lens spaces
• Orientifolds of SU(2)/U(1) WZW Models
• Schwinger Pair Production in SL$(2,\mathbb{C})$ Topologically Non-Trivial Fields via Non-Abelian Worldline Instantons
• On the geometry of coset branes
• Quantum Chern-Simons theories on cylinders: BV-BFV partition functions
• Twisted boundary states in c=1 coset conformal field theories
• D-branes in a marginally deformed WZW model
• Level-rank duality of untwisted and twisted D-branes
• Level-rank duality of D-branes on the SU(N) group manifold
• The WZW model on Random Regge Triangulations
• Twisted boundary states in Kazama-Suzuki models
• On D-branes in the Nappi-Witten and GMM gauged WZW models
• D-branes and matrix factorisations in supersymmetric coset models
• Defects in G/H coset, G/G topological field theory and discrete Fourier-Mukai transform
• D-branes in the diagonal SU(2) coset
• D-branes (or not) in the non-Abelian T-dual of the SU(2) WZW model
• Twisted D-branes of the SU(N)_K WZW model and level-rank duality
• Towards a quadratic Poisson algebra for the subtracted classical monodromy of Symmetric Space Sine-Gordon theories
• Monopole operators and symmetry enhancement in ABJM theory revisited
• Nested T-duality
• Level-rank duality of untwisted and twisted D-branes of the so(N)_K WZW model
• Integrable branes in generalized $\lambda$-deformations
• On canonical quantization of the gauged WZW model with permutation branes
• Quasi-Hamiltonian bookkeeping of WZNW defects