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Topological strings live on attractive manifolds

Show simple item record Evslin, Jarah en_US Minasian, Ruben en_US 2008-04-14T12:38:47Z en_US 2011-09-07T20:23:53Z 2008-04-14T12:38:47Z en_US 2011-09-07T20:23:53Z 2008-04-14T12:38:47Z en_US
dc.identifier.uri en_US
dc.description.abstract We add to the mounting evidence that the topological B model's normalized holomorphic three-form has integral periods by demonstrating that otherwise the B2-brane partition function is ill-defined. The resulting Calabi-Yau manifolds are roughly fixed points of attractor flows. We propose here that any admissible background for topological strings requires a quantized (twisted) integrable pure spinor, yielding a quantized (twisted) generalized Calabi-Yau structure. This proposal would imply in particular that the A model is consistent only on those Calabi-Yau manifolds that correspond to melting crystals. When a pure spinor is not quantized, type change occurs on positive codimension submanifolds. We find that quantized pure spinors in topological A-model instead change type only when crossing a coisotropic 5-brane. Quantized generalized Calabi-Yau structures do correspond to twisted K-theory classes, but some twisted K-theory classes correspond to either zero or to multiple structures. en_US
dc.format.extent 215269 bytes en_US
dc.format.mimetype application/pdf en_US
dc.language.iso en_US en_US
dc.relation.ispartofseries SISSA;19/2008/EP en_US
dc.relation.ispartofseries;0804.0750 en_US
dc.title Topological strings live on attractive manifolds en_US
dc.type Preprint en_US
dc.contributor.department Elementary Particle Theory en_US
dc.contributor.area Physics en_US

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