Посилання: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.
Підтримка: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.
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.