Topological strings live on attractive manifolds

dc.creatorEvslin, Jarah
dc.creatorMinasian, Ruben
dc.date2008-04-04
dc.date2008-04-24
dc.date.accessioned2026-07-07T09:34:12Z
dc.date.available2026-07-07T09:34:12Z
dc.descriptionWe 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.
dc.description21 pages, no figures, refs added
dc.identifierhttps://arxiv.org/abs/0804.0750
dc.identifierhttp://arxiv.org/abs/0804.0750
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/159407
dc.subjectHigh Energy Physics - Theory
dc.titleTopological strings live on attractive manifolds
dc.typetext

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