The GL(1|1)-symplectic fermion correspondence

Details The GL(1|1)-symplectic fermion correspondence The GL(1|1)-symplectic fermion correspondence

2008-12-15

arxiv.org/abs/0812.2835v1

Nucl.Phys.B815:95-124,2009

Physics

High Energy Physics

High Energy Physics - Theory

34 pages

Scientific paper

10.1016/j.nuclphysb.2009.02.013

In this note we prove a correspondence between the Wess-Zumino-Novikov-Witten model of the Lie supergroup GL(1|1) and a free model consisting of two scalars and a pair of symplectic fermions. This model was discussed earlier by LeClair. Vertex operators for the symplectic fermions include twist fields, and correlation functions of GL(1|1) agree with the known results for the scalars and symplectic fermions. We perform a detailed study of boundary states for symplectic fermions and apply them to branes in GL(1|1). This allows us to compute new amplitudes of strings stretching between branes of different types and confirming Cardy's condition.

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