Hyperbolic Kac-Moody Algebra from Intersecting p-branes
V. D. Ivashchuk, S.-W. Kim, V. N. Melnikov
TL;DR
This paper explores a specific class of multidimensional gravity solutions involving intersecting p-branes, revealing a connection to hyperbolic Kac-Moody algebra and describing a non-Kasner power-law inflation scenario.
Contribution
It introduces a new cosmological solution in 11-dimensional gravity linked to hyperbolic Kac-Moody algebra ${ m F}_3$, expanding the understanding of p-brane configurations.
Findings
Connection between intersecting p-branes and hyperbolic Kac-Moody algebra ${ m F}_3$
A cosmological solution exhibiting non-Kasner power-law inflation
Extension of solutions in multidimensional gravity with harmonic functions
Abstract
A subclass of recently discovered class of solutions in multidimensional gravity with intersecting p-branes related to Lie algebras and governed by a set of harmonic functions is considered. This subclass in case of three Euclidean p-branes (one electric and two magnetic) contains a cosmological-type solution (in 11-dimensional model with two 4-forms) related to hyperbolic Kac-Moody algebra (of rank 3). This solution describes the non-Kasner power-law inflation.
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