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N=1 supersymmetric sigma model with boundaries, II

Cecilia Albertsson·Ulf Lindstrom·Maxim Zabzine
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Abstract

We consider the N=1 supersymmetric two-dimensional non-linear 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.

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Cecilia Albertsson, Ulf Lindstrom, Maxim Zabzine. 2004-01-09. N=1 supersymmetric sigma model with boundaries, II. https://doi.org/10.1016/j.nuclphysb.2003.11.024

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