Compactification, duality and black-hole entropy in stringy black hole

Abstract: In this talk I will review results obtained by our group over the last few years concerning the calculation of alpha' corrections of 4- and 5-dimensional stringy black-hole geometries and the computation of their Wald entropies, always in the context of the Heterotic Superstring effective action.

First, I will describe the corrections to that action in the Bergshoeff-de Roo formalism and how we can compute the corresponding corrections to the simplest 5- and 4-dimensional (3- and 4-charge) stringy black holes.

Then, I will comment on the problems surrounding the application of the Iyer-Wald prescription to the calculation of the Wald entropy of those black holes directly in terms of their 10-dimensional oxidized counterparts and I will argue that the calculation has to be done using the 4- and 5-dimensional actions.

I will then show how to obtain these actions by direct dimensional reduction and how they provide us with alpha'-corrected T-duality rules. I will derive duality invariant Wald entropy formulas using the Iyer-Wald prescription and I will show that the entropies obtained satisfy the expected properties.

Finally, I will comment on the many unresolved problems related to all these issues.

HEP - theory

Audience: researchers in the topic

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Exceptional geometry seminar series

Series comments: This is an online seminar series focusing on new developments in exceptional field theory, generalised geometry and their applications.

See sites.google.com/view/egseminars/ for more details and instructions on how to join the meetings.

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