Consistent superconformal boundary states

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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23 pages, LaTeX; amssymb, epsf, 1 eps figure; v2: references added

Scientific paper

10.1088/0305-4470/34/33/314

We propose a supersymmetric generalization of Cardy's equation for consistent N=1 superconformal boundary states. We solve this equation for the superconformal minimal models SM(p/p+2) with p odd, and thereby provide a classification of the possible superconformal boundary conditions. In addition to the Neveu-Schwarz (NS) and Ramond (R) boundary states, there are NS~ states. The NS and NS~ boundary states are related by a Z_2 "spin-reversal" transformation. We treat the tricritical Ising model as an example, and in an appendix we discuss the (non-superconformal) case of the Ising model.

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