nLab
differential T-duality

Context

Physics

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Surveys, textbooks and lecture notes

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Differential cohomology

Ingredients

Connections on bundles

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Higher abelian differential cohomology

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Higher nonabelian differential cohomology

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Fiber integration

Application to gauge theory

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Contents

Idea

Analogous to how topological T-duality describes the aspects of T-duality that are not related to the pseudo-Riemannian metric and the background gauge field, differential T-duality still ignores the metric, but takes the background Kalb-Ramond field and its effect on the RR-fields into account: it is a refinement of topological T-duality from cohomology to differential cohomology.

This is also called geometric T-duality (KahleValentino), though this is a slight misnomer, since present technnology for the differential refinement does not take the metric into account.

Definition

(KahleValentino=.

Formulation by twisted differential c\mathbf{c}-structures

We discuss here how the notion of differential T-duality pairs is a special case of the notion of twisted differential c-structures.

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for the moment see the remarks included in T-Duality and Differential K-Theory

References

The first proposal for a description of differential T-duality is

A review is in section 7.4 of

Last revised on November 26, 2012 at 21:29:45. See the history of this page for a list of all contributions to it.