nLab
differential T-duality

Contents

Context

Physics

physics, mathematical physics, philosophy of physics

Surveys, textbooks and lecture notes


theory (physics), model (physics)

experiment, measurement, computable physics

Differential cohomology

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.

(…)

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.