# On Brane Solutions Related to Non-Singular Kac-Moody Algebras

@article{Ivashchuk2011OnBS,
title={On Brane Solutions Related to Non-Singular Kac-Moody Algebras},
author={Vladimir D. Ivashchuk and Vitaly N. Melnikov},
journal={Symmetry Integrability and Geometry-methods and Applications},
year={2011},
volume={17},
pages={7-17}
}
• Published 1 October 2008
• Mathematics
• Symmetry Integrability and Geometry-methods and Applications
A multidimensional gravitational model containing scalar fields and antisymmetric forms is considered. The manifold is chosen in the form M = M0 × M1 × … × Mn, where Mi are Einstein spaces (i ≥ 1). The sigma-model approach and exact solutions with intersecting composite branes (e.g., solutions with harmonic functions and black brane ones) with intersection rules related to non-singular Kac-Moody (KM) algebras (e.g., hyperbolic ones) are considered. Some examples of black brane solutions are…
7 Citations

### Black brane solutions related to non-singular Kac-Moody algebras

• Mathematics
• 2011
A multidimensional gravitational model containing scalar fields and antisymmetric forms is considered. The manifold is chosen in the form M = M0 × M1 × … × Mn, where Mi are Einstein spaces (i ≥ 1).

### On Brane Solutions with Intersection Rules Related to Lie Algebras

The review is devoted to exact solutions with hidden symmetries arising in a multidimensional gravitational model containing scalar fields and antisymmetric forms, and the sigma-model approach for the solutions to field equations was derived.

### MORE M-BRANES ON PRODUCT OF RICCI-FLAT MANIFOLDS

Partially supersymmetric intersecting (non-marginal) composite M-brane solutions defined on the product of Ricci-flat manifolds M0 × M1 × ⋯ × Mn in D = 11 supergravity are considered and formulae for

### On the billiard approach in multidimensional cosmological models

• Mathematics
• 2009
A short overview of the billiard approach for cosmological-type models with n Einstein factor spaces is presented. We start with the billiard representation for pseudo-Euclidean Toda-like systems of

### Arithmetic and Hyperbolic Structures in String Theory

This thesis consists of an introductory text followed by two separate parts which may be read independently of each other. In Part I we analyze certain hyperbolic structures arising when studying

### On flux integrals for generalized Melvin solution related to simple finite-dimensional Lie algebra

A generalized Melvin solution for an arbitrary simple finite-dimensional Lie algebra $$\mathcal G$$G is considered. The solution contains a metric, n Abelian 2-forms and n scalar fields, where n is

### Centenary of Einstein’s general relativity. Its present extensions

This paper is a brief review of integrable models of gravitation and cosmology in four and more dimensions which make up one of the proper approaches to studying the basic issues and strong field

## References

SHOWING 1-10 OF 141 REFERENCES

### Composite S-brane solutions related to Toda-type systems

Composite S-brane solutions in multidimensional gravity with scalar fields and fields of forms related to Toda-like systems are presented. These solutions are defined on a product manifold ℝ* × M1 ×

### Composite S-brane solutions related to Toda-type systems

Composite S-brane solutions in multidimensional gravity with scalar fields and fields of forms related to Toda-like systems are presented. These solutions are defined on a product manifold * × M1 × ×

### Multidimensional classical and quantum cosmology with intersecting p-branes

• Mathematics, Physics
• 1998
A multidimensional cosmological model describing the evolution of (n+1) Einstein spaces in the theory with several scalar fields and forms is considered. When a (electro-magnetic composite) p-brane

### Toda Chains with Type Am Lie Algebra for Multidimensional Classical Cosmology with Intersecting p-Branes

• Mathematics
• 1998
We consider a D-dimensional cosmological model describing an evolution of (n+1) Einstein factor spaces in the theory with several dilatonic scalar fields and generalized electro-magnetic forms,

### Electric S-brane solutions corresponding to rank-2 Lie algebras: Acceleration and small variation of G

• Mathematics
• 2008
Electric S-brane solutions with two non-composite electric branes and a set of l scalar fields are considered. The intersection rules for branes correspond to Lie algebras A2, C2 and G2. The

### Multidimensional sigma-models with composite electric p-branes

• Mathematics
• 1997
We consider a gravitational model on a manifold M = M_0 x M_1 x...x M_n with oriented connected Einstein internal spaces M_1,...,M_n. The matter part of the action contains several scalar fields and

### P-brane black holes for general intersections

• Mathematics
• 1999
Black hole generalized p-brane solutions for a wide class of intersection rules are presented. The solutions are defined on a manifold that contains a product of n - 1 Ricci-flat internal spaces.

### Composite electric S-brane solutions with maximal number of branes and several scalar fields

• Physics
• 2004
A (n+1)-dimensional cosmological model with a set of scalar fields and antisymmetric (p+2)-form is considered. Some of scalar fields may have negative kinetic terms, i.e. they may describe