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Anomaly cancellation in the topological string

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arxiv 1905.09269 v2 pith:5J3CEN4S submitted 2019-05-22 hep-th math-phmath.MPmath.QA

classification hep-thmath-phmath.MPmath.QA
keywords theoryanomalycancellationcomplexmechanismstringtypeanalogous
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We describe the coupling of holomorphic Chern-Simons theory at large N with Kodaira-Spencer gravity. We explain a new anomaly cancellation mechanism at all loops in perturbation theory for open-closed topological B-model. At one loop this anomaly cancellation is analogous to the Green-Schwarz mechanism. As an application, we introduce a type I version of Kodaira-Spencer theory in complex dimensions 3 and 5. In complex dimension 5, we show that it can only be coupled consistently at the quantum level to holomorphic Chern-Simons theory with gauge group SO(32). This is analogous to the Green-Schwarz mechanism for the physical type I string. This coupled system is conjectured to be a supersymmetric localization of type I string theory. In complex dimension 3, the required gauge group is SO(8).

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Cited by 3 Pith papers

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