Branes in the OSP(1|2) WZNW model

TL;DR

This paper analyzes the boundary OSP(1|2) WZNW model, identifying two types of branes, and computes their coupling to closed strings using two methods, confirming consistency with theoretical constraints and semi-classical results.

Contribution

It introduces a detailed analysis of branes in the OSP(1|2) WZNW model and demonstrates their coupling to closed strings via factorization and boundary super-Liouville correspondence.

Findings

Identification of two brane types localized on supersymmetric spaces

Validation of coupling results through Cardy condition and semi-classical checks

Spectral density computation for open strings attached to non-compact branes

Abstract

The boundary OSP(1|2) WZNW model possesses two types of branes, which are localized on supersymmetric Euclidean AdS$_2$ and on two-dimensional superspheres. We compute the coupling of closed strings to these branes with two different methods. The first one uses factorization constraints and the other one a correspondence to boundary N=1 super-Liouville field theory, which we proof with path integral techniques. We check that the results obey the Cardy condition and reproduce the semi-classical computations. For the check we also compute the spectral density of open strings that are attached to the non-compact branes.