Supersymmetry in the boundary tricritical Ising field theory

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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19 pages, LaTeX; amssymb, no figures; v2 one paragraph and one reference added; v3 Erratum added

Scientific paper

10.1142/S0217751X02012119

We argue that it is possible to maintain both supersymmetry and integrability in the boundary tricritical Ising field theory. Indeed, we find two sets of boundary conditions and corresponding boundary perturbations which are both supersymmetric and integrable. The first set corresponds to a ``direct sum'' of two non-supersymmetric theories studied earlier by Chim. The second set corresponds to a one-parameter deformation of another theory studied by Chim. For both cases, the conserved supersymmetry charges are linear combinations of Q, \bar Q and the spin-reversal operator \Gamma.

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