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On Brane Solutions Related to Non-Singular Kac-Moody Algebras
Репозиторій DSpace/Manakin
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2009, том 5
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On Brane Solutions Related to Non-Singular Kac-Moody Algebras
Інший ID:
2000 Mathematics Subject Classification: 17B67; 17B81; 83E15; 83E50; 83F05; 81T30
Посилання:
On Brane Solutions Related to Non-Singular Kac-Moody Algebras / V.D. Ivashchuk, V.N. Melnikov // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 111 назв. — англ.
Підтримка:
This work was supported in part by the Russian Foundation for Basic Research grant Nr. 07–02–13624–ofits. We are grateful to D. Singleton for reading the manuscript and valuable comments. We are also indebted to anonymous referees whose comments have led to the improvement of the paper.
Дата:
2009
Переглядів:
316
Завантажень:
199
Анотація:
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, 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: H2(q,q), AE3, HA2(1), E10 and Lorentzian KM algebra P10 are presented.
