Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2001-02-02
J.Phys.A34:6509-6524,2001
Physics
High Energy Physics
High Energy Physics - Theory
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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