Boundary Correlators in Supergroup WZNW Models

TL;DR

This paper develops a formalism for calculating boundary correlation functions in the supergroup WZNW model on GL(1|1), focusing on volume filling branes and extending bulk sector methods.

Contribution

It introduces a Kac-Wakimoto-like formalism for boundary models and computes key boundary correlation functions in the supergroup WZNW setting.

Findings

Derived explicit bulk-boundary 2-point functions

Calculated boundary 3-point functions for the model

Discussed correlation functions of atypical fields and point-like branes

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.