Duality-Symmetric Approach to General Relativity and Supergravity

TL;DR

This paper reviews a duality-symmetric formulation of gravity and supergravity, highlighting its benefits, challenges, and applications within M-theory, including dualization processes and action constructions.

Contribution

It introduces a duality-symmetric approach to gravity and supergravity, detailing its formulation, benefits, disadvantages, and relevance to M-theory.

Findings

Dual gravity can be formulated in D=3 and D>3 dimensions.

A duality-symmetric action for General Relativity is constructed.

The approach offers insights into M-theory and dual gravitational fields.

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.