On Brane Solutions Related to Non-Singular Kac-Moody Algebras
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...
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Date: | 2009 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2009
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/149113 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862716594899124224 |
|---|---|
| author | Ivashchuk, V.D. Melnikov, V.N. |
| author_facet | Ivashchuk, V.D. Melnikov, V.N. |
| citation_txt | 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. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | 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.
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| first_indexed | 2025-12-07T18:05:36Z |
| format | Article |
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| id | nasplib_isofts_kiev_ua-123456789-149113 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T18:05:36Z |
| publishDate | 2009 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Ivashchuk, V.D. Melnikov, V.N. 2019-02-19T17:28:28Z 2019-02-19T17:28:28Z 2009 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. 1815-0659 2000 Mathematics Subject Classification: 17B67; 17B81; 83E15; 83E50; 83F05; 81T30 https://nasplib.isofts.kiev.ua/handle/123456789/149113 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. 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. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications On Brane Solutions Related to Non-Singular Kac-Moody Algebras Article published earlier |
| spellingShingle | On Brane Solutions Related to Non-Singular Kac-Moody Algebras Ivashchuk, V.D. Melnikov, V.N. |
| title | On Brane Solutions Related to Non-Singular Kac-Moody Algebras |
| title_full | On Brane Solutions Related to Non-Singular Kac-Moody Algebras |
| title_fullStr | On Brane Solutions Related to Non-Singular Kac-Moody Algebras |
| title_full_unstemmed | On Brane Solutions Related to Non-Singular Kac-Moody Algebras |
| title_short | On Brane Solutions Related to Non-Singular Kac-Moody Algebras |
| title_sort | on brane solutions related to non-singular kac-moody algebras |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/149113 |
| work_keys_str_mv | AT ivashchukvd onbranesolutionsrelatedtononsingularkacmoodyalgebras AT melnikovvn onbranesolutionsrelatedtononsingularkacmoodyalgebras |