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Special Holonomy and Two-Dimensional Supersymmetric Sigma-Models

arXiv:hep-th/0611255

Abstract

Two-dimensional sigma-models describing superstrings propagating on manifolds of special holonomy are characterized by symmetries related to covariantly constant forms that these manifolds hold, which are generally non-linear and close in a field dependent sense. The thesis explores various aspects of the special holonomy symmetries.

PhD thesis, 149 pages; King's College London, 2006