Sigma-model Solutions and Intersecting p-Branes Related to Lie Algebras
M. A. Grebeniuk, V. D. Ivashchuk
TL;DR
This paper constructs a family of solutions in sigma-models related to p-branes, based on Lie algebra structures, and explores specific dyonic configurations in supergravity theories.
Contribution
It introduces a new class of solutions for sigma-models associated with direct sums of simple Lie algebras, including explicit examples in supergravity.
Findings
Solutions for all direct sums of simple Lie algebras
Explicit p-brane dyonic configurations in D=10 and D=11 supergravities
Connections between Lie algebra structures and supergravity solutions
Abstract
A family of Majumdar-Papapetrou type solutions in sigma-model of p-brane origin is obtained for all direct sums of finite-dimensional simple Lie algebras. Several examples of p-brane dyonic configurations in D=10 (IIA) and D=11 supergravities corresponding to the Lie algebra sl(3,C) are considered.
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