The GL(1|1)-symplectic fermion correspondence
arXiv:0812.2835 · doi:10.1016/j.nuclphysb.2009.02.013
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.
34 pages
References in corpus (8)
- Free fermion resolution of supergroup WZNW models
- Branes in the GL(1|1) WZNW-Model
- Principal Chiral Model on Superspheres
- A lattice approach to the conformal $\OSp(2S+2|2S)$ supercoset sigma model. Part I: Algebraic structures in the spin chain. The Brauer algebra
- Geometry of branes on supergroups
- A lattice approach to the conformal $\OSp(2S+2|2S)$ supercoset sigma model. Part II: The boundary spectrum
- New boundary conditions for the c=-2 ghost system
- The gl(1|1) super-current algebra: the role of twist and logarithmic fields