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T-duality for the q-deformed Hopf Bundle

Francesca Arici
Institution: 
SISSA
Location: 
A-136
Schedule: 
Thursday, June 27, 2013 - 11:30 to 13:00
Abstract: 

In this talk, we will address the problem of defining a T-duality transformation for a class of noncommutative U(1)-principal bundles. After recalling the "classical" formulation of topological T-duality in terms of dimensionally reduced Gysin sequences by Bouwknegt et al.(http://arxiv.org/abs/hep-th/0412268v2), we will show how it is possible to extend some of these techniques to the noncommutative framework, using the notion of operation of a Hopf algebra in a graded differential algebra (http://arxiv.org/abs/1201.2040). If time allows, we will discuss some still open issues.

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