# Branes in Supergroups

@article{Creutzig2009BranesIS, title={Branes in Supergroups}, author={Thomas Creutzig}, journal={arXiv: High Energy Physics - Theory}, year={2009} }

In this thesis we initiate a systematic study of branes in Wess-Zumino-Novikov-Witten models with Lie supergroup target space. We start by showing that a branes' worldvolume is a twisted superconjugacy class and construct the action of the boundary WZNW model. Then we consider symplectic fermions and give a complete description of boundary states including twisted sectors. Further we show that the GL(1|1) WZNW model is equivalent to symplectic fermions plus two scalars. We then consider the GL…

## 21 Citations

### The FZZ duality with boundary

- Mathematics
- 2010

The Fateev-Zamolodchikov-Zamolodchikov (FZZ) duality relates Witten’s cigar model to sine-Liouville theory. This duality was proven in the path integral formulation and extended to the case of higher…

### D ec 2 01 0 WITS-CTP-64 The FZZ duality with boundary

- Mathematics
- 2010

The Fateev-Zamolodchikov-Zamolodchikov (FZZ) duality relates Witten’s cigar model to sine-Liouville theory. This duality was proven in the path integral formulation and extended to the case of higher…

### Super Poisson-Lie symmetry of the GL(1|1) WZNW model and worldsheet boundary conditions

- Mathematics
- 2013

### Supergroup — extended super Liouville correspondence

- Mathematics, Physics
- 2011

We derive a relation between correlation functions of supergroup WZNW models and conformal field theories with extended superconformal symmetry. The supergroups considered have a bosonic subgroup of…

### From world-sheet supersymmetry to super target spaces

- Mathematics, Physics
- 2010

We investigate the relation between $ \mathcal{N} = \left( {2,2} \right) $super conformal Lie group WZNW models and Lie super group WZNW models. The B-twist of an exactly marginal perturbation of the…

### Logarithmic conformal field theory: beyond an introduction

- Mathematics
- 2013

This article aims to review a selection of central topics and examples in logarithmic conformal field theory. It begins with the remarkable observation of Cardy that the horizontal crossing…

### Disk one-point function for a family of non-rational conformal theories

- Mathematics
- 2010

We consider an infinite family of non-rational conformal field theories in the presence of a conformal boundary. These theories, which have been recently proposed in [1], are parameterized by two…

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