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arXiv · 1903.03005

K-group identification of supergravity solutions

T. V. Obikhod·I. A. Petrenko
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Abstract

The problem with Bekenstein-Hawking entropy of black hole can be resolved with quantum gravity theory with Dp-branes as supergravity solutions of type IIB string theory. Dp-brane solutions of type IIB are a direct analog of the Schwarzschild charged hole, so called black p-branes. The coincidence of the black p-brane metrics and ten-dimensional metrics of N-parallel D3-branes was used from the viewpoint of the Azumaya structure on D-branes connected with deformation of the classical moduli space. Applying Rosenberg theorem we can classify Hilbert spaces of N coinciding Dp-branes as vector bundles through K-functor.

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T. V. Obikhod, I. A. Petrenko. 2019-03-04. K-group identification of supergravity solutions. https://doi.org/10.9790/4861-1101027781

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