The GL(1|1)-symplectic fermion correspondence
High Energy Physics - Theory
2009-04-17 v1
Abstract
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.
Cite
@article{arxiv.0812.2835,
title = {The GL(1|1)-symplectic fermion correspondence},
author = {Thomas Creutzig and Peter B. Ronne},
journal= {arXiv preprint arXiv:0812.2835},
year = {2009}
}
Comments
34 pages