Spin structures and superstrings
Jacques Distler, Daniel S. Freed, Gregory W. Moore
TL;DR
This paper introduces a new formulation of the B-field in superstring theory, exploring its interaction with spin structures on worldsheets and spacetime, and extends the framework to orientifolds with KO-theoretic invariants.
Contribution
It proposes a novel B-field formulation in superstring theory that interacts with spin structures and generalizes to orientifolds, incorporating KO-theoretic invariants.
Findings
New B-field formulation interacting with spin structures
Extension to orientifolds with twistings
KO-theoretic Z/8Z-valued Kervaire invariant on pin-minus surfaces
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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