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Consistent boundary conditions for open strings. (English) Zbl 1027.83027
Summary: We study boundary conditions for the bosonic, spinning (NSR) and Green-Schwarz open string, as well as for (1+1)-dimensional supergravity. We consider boundary conditions that arise from (1) extremizing the action, (2) BRST, rigid or local supersymmetry, or \(\kappa\)(Siegel)-symmetry of the action, (3) closure of the set of boundary conditions under the symmetry transformations, and (4) the boundary limits of bulk Euler-Lagrange equations that are “conjugate” to other boundary conditions. We find corrections to Neumann boundary conditions in the presence of a bulk tachyon field. We discuss a boundary superspace formalism. We also find that path integral quantization of the open string requires an infinite tower of boundary conditions that can be interpreted as a smoothness condition on the doubled interval; we interpret this to mean that for a path-integral formulation of open strings with only Neuman boundary conditions, the description in terms of orientifolds is not just natural, but is actually fundamental.

83E30 String and superstring theories in gravitational theory
83-02 Research exposition (monographs, survey articles) pertaining to relativity and gravitational theory
81T30 String and superstring theories; other extended objects (e.g., branes) in quantum field theory
83E50 Supergravity
83C05 Einstein’s equations (general structure, canonical formalism, Cauchy problems)
Full Text: DOI arXiv
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