Supersymmetry in the boundary tricritical Ising field theory

Abstract

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 Γ.

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

References in corpus (3)

• The boundary supersymmetric sine-Gordon model revisited
• On Perturbations of Unitary Minimal Models by Boundary Condition Changing Operators
• Lattice Approach to Excited TBA Boundary Flows: Tricritical Ising Model

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• N=1 Supersymmetric Boundary Bootstrap
• The boundary states and correlation functions of the tricritical Ising model from the Coulomb-gas formalism
• A note on the IR limit of the NLIEs of boundary supersymmetric sine-Gordon model