Boundary States and Symplectic Fermions

TL;DR

This paper explores boundary states in the symplectic fermion model of logarithmic conformal field theory, linking them to chiral symmetry algebra restrictions and previous coherent state approaches.

Contribution

It establishes a precise correspondence between boundary states and chiral algebra restrictions in the c=-2 symplectic fermion model.

Findings

Boundary states match those from maximal chiral symmetry algebra W(2,3,3,3)

Connects boundary state construction to coherent state approach

Enhances understanding of boundary conditions in logarithmic CFTs

Abstract

We investigate the set of boundary states in the symplectic fermion description of the logarithmic conformal field theory with central charge c=-2. We show that the thus constructed states correspond exactly to those derived under the restrictions of the maximal chiral symmetry algebra for this model, W(2,3,3,3). This connects our previous work to the coherent state approach of Kawai and Wheater.