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$$N=1$$ supersymmetric sigma model with boundaries. II. (English) Zbl 1097.81548
Summary: We consider the $$N=1$$ supersymmetric two-dimensional nonlinear sigma model with boundaries and nonzero B-field. By analysing the appropriate currents we describe the full set of boundary conditions compatible with $$N=1$$ superconformal symmetry. Using this result the problem of finding a correct action is discussed. We interpret the supersymmetric boundary conditions as a maximal integral submanifold of the target space manifold, and speculate about a new geometrical structure, the deformation of an almost product structure.
Part I, cf. Commun. Math. Phys. 233, No.3 , 403–421 (2003; Zbl 1028.81044).

##### MSC:
 81T10 Model quantum field theories 81T60 Supersymmetric field theories in quantum mechanics
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##### References:
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