Exact M-Theory Solutions, Integrable Systems, and Superalgebras
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-...
Saved in:
| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Date: | 2015 |
| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2015
|
| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/147017 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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. |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862536620701384704 |
|---|---|
| author | D'Hoker, E. |
| author_facet | D'Hoker, E. |
| citation_txt | 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. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| 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.
|
| first_indexed | 2025-11-24T11:38:35Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-147017 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-11-24T11:38:35Z |
| publishDate | 2015 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | D'Hoker, E. 2019-02-12T20:57:09Z 2019-02-12T20:57:09Z 2015 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 https://nasplib.isofts.kiev.ua/handle/123456789/147017 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. This paper is a contribution to the Special Issue on Exact Solvability and Symmetry Avatars in honour of
 Luc Vinet. The full collection is available at http://www.emis.de/journals/SIGMA/ESSA2014.html.
 It is a pleasure to thank Constantin Bachas, John Estes, Michael Gutperle, Drya Krym, and Paul
 Sorba for fruitful collaborations on the projects reviewed in this paper. I gratefully acknowledge
 the warm hospitality and the financial support of the Laboratoire de Physique Th´eorique at
 the Ecole Normale Sup´erieure, where part of this work was carried out. Finally, I would like to
 acknowledge the organizers, Decio Levi, Willard Miller, Yvan Saint-Aubin, and Pavel Winternitz
 for inviting me to the enjoyable conference and celebration in honor of Luc Vinet at the Centre
 de Recherches Math´ematiques. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Exact M-Theory Solutions, Integrable Systems, and Superalgebras Article published earlier |
| spellingShingle | Exact M-Theory Solutions, Integrable Systems, and Superalgebras D'Hoker, E. |
| title | Exact M-Theory Solutions, Integrable Systems, and Superalgebras |
| title_full | Exact M-Theory Solutions, Integrable Systems, and Superalgebras |
| title_fullStr | Exact M-Theory Solutions, Integrable Systems, and Superalgebras |
| title_full_unstemmed | Exact M-Theory Solutions, Integrable Systems, and Superalgebras |
| title_short | Exact M-Theory Solutions, Integrable Systems, and Superalgebras |
| title_sort | exact m-theory solutions, integrable systems, and superalgebras |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/147017 |
| work_keys_str_mv | AT dhokere exactmtheorysolutionsintegrablesystemsandsuperalgebras |