Duality-Symmetric Approach to General Relativity and Supergravity

We review the application of a duality-symmetric approach to gravity and supergravity with emphasizing benefits and disadvantages of the formulation. Contents of these notes includes: 1) Introduction with putting the accent on the role of dual gravity within M-theory; 2) Dualization of gravity with...

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Published in:Symmetry, Integrability and Geometry: Methods and Applications
Date:2006
Main Author: Nurmagambetov, A.J.
Format: Article
Language:English
Published: Інститут математики НАН України 2006
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/146449
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Duality-Symmetric Approach to General Relativity and Supergravity / A.J. Nurmagambetov // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 109 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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author Nurmagambetov, A.J.
author_facet Nurmagambetov, A.J.
citation_txt Duality-Symmetric Approach to General Relativity and Supergravity / A.J. Nurmagambetov // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 109 назв. — англ.
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container_title Symmetry, Integrability and Geometry: Methods and Applications
description We review the application of a duality-symmetric approach to gravity and supergravity with emphasizing benefits and disadvantages of the formulation. Contents of these notes includes: 1) Introduction with putting the accent on the role of dual gravity within M-theory; 2) Dualization of gravity with a cosmological constant in D = 3; 3) On-shell description of dual gravity in D > 3; 4) Construction of the duality-symmetric action for General Relativity with/without matter fields; 5) On-shell description of dual gravity in linearized approximation; 6) Brief summary of the paper.
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institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
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spelling Nurmagambetov, A.J.
2019-02-09T17:21:44Z
2019-02-09T17:21:44Z
2006
Duality-Symmetric Approach to General Relativity and Supergravity / A.J. Nurmagambetov // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 109 назв. — англ.
1815-0659
2000 Mathematics Subject Classification: 83E15; 83E50; 53Z05
https://nasplib.isofts.kiev.ua/handle/123456789/146449
We review the application of a duality-symmetric approach to gravity and supergravity with emphasizing benefits and disadvantages of the formulation. Contents of these notes includes: 1) Introduction with putting the accent on the role of dual gravity within M-theory; 2) Dualization of gravity with a cosmological constant in D = 3; 3) On-shell description of dual gravity in D > 3; 4) Construction of the duality-symmetric action for General Relativity with/without matter fields; 5) On-shell description of dual gravity in linearized approximation; 6) Brief summary of the paper.
I am very indebted to Vladimir Grigorievich Zima and Anatoly Il’ich Pashnev, who inspired me for studying Supergravity and String Theory, for their encouragement and many useful discussions on various topics of strings. I’m very grateful to Bernard Julia for a brief but very informative discussion on dual models of gravity, and to Xavier Bekaert, Ruben Mkrtchyan and Yuri Zinoviev for discussions on duality-symmetric theories. Special thanks to Igor Bandos and Dmitri Sorokin for pleasant collaboration, constant encouragement and enlightening me via discussions and correspondence. This work is supported in part by the Ukrainian SFFR Grant # F7/336-2001.
en
Інститут математики НАН України
Symmetry, Integrability and Geometry: Methods and Applications
Duality-Symmetric Approach to General Relativity and Supergravity
Article
published earlier
spellingShingle Duality-Symmetric Approach to General Relativity and Supergravity
Nurmagambetov, A.J.
title Duality-Symmetric Approach to General Relativity and Supergravity
title_full Duality-Symmetric Approach to General Relativity and Supergravity
title_fullStr Duality-Symmetric Approach to General Relativity and Supergravity
title_full_unstemmed Duality-Symmetric Approach to General Relativity and Supergravity
title_short Duality-Symmetric Approach to General Relativity and Supergravity
title_sort duality-symmetric approach to general relativity and supergravity
url https://nasplib.isofts.kiev.ua/handle/123456789/146449
work_keys_str_mv AT nurmagambetovaj dualitysymmetricapproachtogeneralrelativityandsupergravity