Branes in the OSP\((1|2)\) WZNW model. (English) Zbl 1207.81109
Summary: 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 \({\mathcal N}=1\) 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.
MSC:
| 81T30 | String and superstring theories; other extended objects (e.g., branes) in quantum field theory |
| 81T60 | Supersymmetric field theories in quantum mechanics |
| 81S40 | Path integrals in quantum mechanics |
| 81Q20 | Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory |
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