Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

SIGMA 2 (2006), 020, 34 pages      hep-th/0602145      https://doi.org/10.3842/SIGMA.2006.020

Duality-Symmetric Approach to General Relativity and Supergravity

Alexei J. Nurmagambetov
A.I. Akhiezer Institute for Theoretical Physics, NSC "Kharkov Institute of Physics and Technology", 1 Akademicheskaya Str., Kharkiv, 61108 Ukraine

Received October 19, 2005, in final form February 03, 2006; Published online February 15, 2006; Some references added and typos corrected March 10, 2006

Abstract
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.

Key words: duality; gravity; supergravity.

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