Notes on D-branes and dualities in (p,q) minimal superstring theory

Abstract

We study boundary states in (p,q) minimal superstring theory, combining the explicit form of matter wave functions. Within the modular bootstrap framework, Cardy states of (p,q) minimal superconformal field theory are completely determined in both cases of the different supercharge combinations, and the remaining consistency checks in the super-Liouville case are also performed. Using these boundary states, we determine the explicit form of FZZT- and ZZ-brane boundary states both in type 0A and 0B GSO projections. Annulus mplitudes of FZZT branes are evaluated and principal FZZT branes are identified. In particular, we found that these principal FZZT branes do not satisfy Cardy's consistency conditions for each other and play a role of order/disorder parameters of the Kramers-Wannier duality in spacetime of this superstring theory.

34 pages; v2: Grammatical errors corrected, minor change; v3: references added

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Cited by in corpus (5)

• Degenerate operators in JT and Liouville (super)gravity
• Fractional supersymmetric Liouville theory and the multi-cut matrix models
• Macroscopic loop amplitudes in the multi-cut two-matrix models
• Fractional-Superstring Amplitudes, Multi-Cut Matrix Models and Non-Critical M Theory
• Wronskians, dualities and FZZT-Cardy branes