\(N=1\) supersymmetric sigma model with boundaries. I. (English) Zbl 1028.81044

Albertsson, Cecilia; Lindström, Ulf; Zabzine, Maxim

Commun. Math. Phys. 233, No. 3, 403-421 (2003).

Summary: We study an \(N=1\) two-dimensional nonlinear sigma model with boundaries representing, e.g., a gauge fixed open string. We describe the full set of boundary conditions compatible with \(N=1\) superconformal symmetry. The problem is analyzed in two different ways: by studying requirements for invariance of the action, and by studying the conserved supercurrent. We present the target space interpretation of these results, and identify the appearance of partially integrable almost product structures.

MSC:

81T30	String and superstring theories; other extended objects (e.g., branes) in quantum field theory
81T10	Model quantum field theories
81T40	Two-dimensional field theories, conformal field theories, etc. in quantum mechanics
35Q58	Other completely integrable PDE (MSC2000)

Keywords:

two-dimensional; gauge fixed open string; superconformal symmetry; conserved supercurrent