Special Holonomy and Two-Dimensional Supersymmetric Sigma-Models

Vid Stojevic

Special Holonomy and Two-Dimensional Supersymmetric Sigma-Models

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arxiv hep-th/0611255 v1 pith:GADDWSEZ submitted 2006-11-23 hep-th

Vid Stojevic This is my paper · ORCID

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keywords holonomyspecialmanifoldssigma-modelssymmetriestwo-dimensionalaspectscharacterized

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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.

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$\mathcal{SW}$-algebras and strings with torsion
hep-th 2024-12 conditional novelty 6.0 of 10

For G2 and SU(3) string backgrounds with NS flux, the scalar torsion class controls the first-order deformation of the worldsheet super W-algebra couplings away from special holonomy.

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