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arXiv · 1007.4581

Spin structures and superstrings

Jacques Distler·Daniel S. Freed·Gregory W. Moore
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Abstract

In superstring theory spin structures are present on both the 2-dimensional worldsheet and 10-dimensional spacetime. We present a new proposal for the B-field in superstring theory and demonstrate its interaction with worldsheet spin structures. Our formulation generalizes to orientifolds, where various twistings appear. A special case of the orientifold worldsheet B-field amplitude is a KO-theoretic construction of the Z/8Z-valued Kervaire invariant on pin-minus surfaces.

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Jacques Distler, Daniel S. Freed, Gregory W. Moore. 2010-07-26. Spin structures and superstrings. https://arxiv.org/abs/1007.4581

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