K-group identification of supergravity solutions
High Energy Physics - Theory
2021-02-02 v1
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.
Cite
@article{arxiv.1903.03005,
title = {K-group identification of supergravity solutions},
author = {T. V. Obikhod and I. A. Petrenko},
journal= {arXiv preprint arXiv:1903.03005},
year = {2021}
}
Comments
7 pages, 6 figures, materials presented in StringPheno18 conference