Consistent superconformal boundary states

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 boundary states, there are (NS) over tilde states. The NS and (NS) over tilde 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.