N=2 Liouville Theory with Boundary

Details N=2 Liouville Theory with Boundary N=2 Liouville Theory with Boundary

2004-08-22

arxiv.org/abs/hep-th/0408172v3

JHEP0612:061,2006

Physics

High Energy Physics

High Energy Physics - Theory

1+48 pages, no figure. typos corrected and references added. the version to appear in JHEP

Scientific paper

10.1088/1126-6708/2006/12/061

We study N=2 Liouville theory with arbitrary central charge in the presence of boundaries. After reviewing the theory on the sphere and deriving some important structure constants, we investigate the boundary states of the theory from two approaches, one using the modular transformation property of annulus amplitudes and the other using the bootstrap of disc two-point functions containing degenerate bulk operators. The boundary interactions describing the boundary states are also proposed, based on which the precise correspondence between boundary states and boundary interactions is obtained. The open string spectrum between D-branes is studied from the modular bootstrap approach and also from the reflection relation of boundary operators, providing a consistency check for the proposal.

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