Exact M-Theory Solutions, Integrable Systems, and Superalgebras
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Exact M-Theory Solutions, Integrable Systems, and Superalgebras
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| Creator |
D'Hoker, E.
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| Description |
In this paper, an overview is presented of the recent construction of fully back-reacted half-BPS solutions in 11-dimensional supergravity which correspond to near-horizon geometries of M2 branes ending on, or intersecting with, M5 and M5′ branes along a self-dual string. These solutions have space-time manifold AdS₃×S³×S³ warped over a Riemann surface Σ, and are invariant under the exceptional Lie superalgebra D(2,1;γ)⊕D(2,1;γ), where γ is a real continuous parameter and |γ| is governed by the ratio of the number of M5 and M5′ branes. The construction proceeds by mapping the reduced BPS equations onto an integrable field theory on Σ which is of the Liouville sine-Gordon type. Families of regular solutions are distinguished by the sign of γ, and include a two-parameter Janus solution for γ>0, and self-dual strings on M5 as well as asymptotically AdS₄/Z₂ solutions for γ<0.
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| Date |
2019-02-12T20:57:09Z
2019-02-12T20:57:09Z 2015 |
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| Type |
Article
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| Identifier |
Exact M-Theory Solutions, Integrable Systems, and Superalgebras / E. D'Hoker // Symmetry, Integrability and Geometry: Methods and Applications. — 2015. — Т. 11. — Бібліогр.: 48 назв. — англ.
1815-0659 2010 Mathematics Subject Classification: 81Q60; 17B80 DOI:10.3842/SIGMA.2015.029 http://dspace.nbuv.gov.ua/handle/123456789/147017 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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