Boundary Correlators in Supergroup WZNW Models

Abstract

We investigate correlation functions for maximally symmetric boundary conditions in the WZNW model on GL(1|1). Special attention is payed to volume filling branes. Generalizing earlier ideas for the bulk sector, we set up a Kac-Wakimoto-like formalism for the boundary model. This first order formalism is then used to calculate bulk-boundary 2-point functions and the boundary 3-point functions of the model. The note ends with a few comments on correlation functions of atypical fields, point-like branes and generalizations to other supergroups.

33 pages

References in corpus (7)

• The WZNW model on PSU(1,1|2)
• The logarithmic triplet theory with boundary
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• Branes in the GL(1|1) WZNW-Model
• New boundary conditions for the c=-2 ghost system
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Cited by in corpus (21)

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• Supergroup - extended super Liouville correspondence
• From world-sheet supersymmetry to super target spaces
• W-Algebras Extending Affine gl(1|1)
• Branes in the OSP(1|2) WZNW model
• The FZZ duality with boundary
• Yangian in the Twistor String
• N=2 Superconformal Symmetry in Super Coset Models
• Yangian Superalgebras in Conformal Field Theory
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• Harmonic Analysis and Free Field Realization of the Takiff Supergroup of GL(1|1)
• FZZ-triality and large $\mathcal{N}=4$ super Liouville theory
• Geometric construction of D-branes in WZW models