D-Branes in Coset Models

Abstract

The analysis of D-branes in coset models G/H provides a natural extension of recent studies on branes in WZW-theory and it has various interesting applications to physically relevant models. In this work we develop a reduction procedure that allows to construct the non-commutative gauge theories which govern the dynamics of branes in G/H. We obtain a large class of solutions and interprete the associated condensation processes geometrically. The latter are used to propose conservation laws for the dynamics of branes in coset models at large level k. In super-symmetric theories, conserved charges are argued to take their values in the representation ring of the denominator theory. Finally, we apply the general results to study boundary fixed points in two examples, namely for parafermions and minimal models.

39 pages, 3 figures, some remarks and references added

References in corpus (7)

• D-Brane Instantons and K-Theory Charges
• Geometrical interpretation of D-branes in gauged WZW models
• Branes on Group Manifolds, Gluon Condensates, and twisted K-theory
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Cited by in corpus (40)

• Branes in the 2D black hole
• Lectures on Branes in Curved Backgrounds
• Symmetry Breaking Boundary States and Defect Lines
• D-branes and extended characters in SL(2,R)/U(1)
• On the hierarchy of symmetry breaking D-branes in group manifolds
• Organizing boundary RG flows
• Little Strings, Long Strings, and Fuzzballs
• Nonabelian Phenomena on D-branes
• Non-commutative gauge theory of twisted D-branes
• Bulk flows in Virasoro minimal models with boundaries
• Asymmetric Cosets
• D-branes on group manifolds and fusion rings
• Notes on parafermionic QFT's with boundary interaction
• Boundary Liouville theory at c=1
• Defect loops in gauged Wess-Zumino-Witten models
• On boundary RG-flows in coset conformal field theories
• On Perturbations of Unitary Minimal Models by Boundary Condition Changing Operators
• Limits and Degenerations of Unitary Conformal Field Theories
• N=2 Superconformal boundary states for free bosons and fermions
• Semiclassical description of D-branes in SL(2)/U(1) gauged WZW model
• Novel construction of boundary states in coset conformal field theories
• D-branes in a Big Bang/Big Crunch Universe: Nappi-Witten Gauged WZW Model
• The abelian cosets of the Heisenberg group
• D-branes in $\lambda$-deformations
• Boundary conditions in Toda theories and minimal models
• The FZZ duality with boundary
• K-theoretical boundary rings in N=2 coset models
• Orientifolds of SU(2)/U(1) WZW Models
• Comments on D-branes in Kazama-Suzuki models and Landau-Ginzburg theories
• Twisted boundary states in c=1 coset conformal field theories
• On the geometry of coset branes
• Algebraic brane dynamics on SU(2): excitation spectra
• Twisted boundary states in Kazama-Suzuki models
• Matrix factorisations for rational boundary conditions by defect fusion
• D-branes and matrix factorisations in supersymmetric coset models
• D-branes in the diagonal SU(2) coset
• D-branes (or not) in the non-Abelian T-dual of the SU(2) WZW model
• Algebraic properties of CFT coset construction and Schramm-Loewner evolution
• Finite level geometry of fractional branes
• Integrable branes in generalized $\lambda$-deformations