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This article is cited in 6 scientific papers (total in 6 papers)
On Brane Solutions Related to Non-Singular Kac–Moody Algebras
Vladimir D. Ivashchukab, Vitaly N. Melnikovab a Institute of Gravitation and Cosmology, Peoples’ Friendship University of Russia, 6 Miklukho-Maklaya Str., Moscow 117198, Russia
b Center for Gravitation and Fundamental Metrology, VNIIMS,
46 Ozyornaya Str., Moscow 119361, Russia
Abstract:
A multidimensional gravitational model containing scalar fields and antisymmetric forms is considered. The manifold is chosen in the form $M=M_0\times M_1\times\cdots\times M_n$, where $M_i$ are Einstein spaces
($i\geq1$). The sigma-model approach and exact solutions with intersecting composite branes (e.g. solutions with harmonic functions, $S$-brane and black brane ones) with intersection rules related to non-singular Kac–Moody (KM) algebras (e.g. hyperbolic ones) are reviewed. Some examples of solutions, e.g. corresponding to hyperbolic KM algebras: $H_2(q,q)$, $AE_3$, $HA_2^{(1)}$, $E_{10}$ and Lorentzian KM algebra $P_{10}$ are presented.
Keywords:
Kac–Moody algebras; $S$-branes; black branes; sigma-model; Toda chains.
Received: October 1, 2008; in final form June 15, 2009; Published online July 7, 2009
Citation:
Vladimir D. Ivashchuk, Vitaly N. Melnikov, “On Brane Solutions Related to Non-Singular Kac–Moody Algebras”, SIGMA, 5 (2009), 070, 34 pp.
Linking options:
https://www.mathnet.ru/eng/sigma415 https://www.mathnet.ru/eng/sigma/v5/p70
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