nLab topologically twisted supergravity

Context

Gravity

gravity, supergravity

Formalism

Definition

Einstein-Hilbert action, Einstein's equations, general relativity
- first-order formulation of gravity, D'Auria-Fre formulation of supergravity
- gravity as a BF-theory, Plebanski formulation of gravity, teleparallel gravity

Spacetime configurations

Properties

Spacetimes

black hole spacetimes	vanishing angular momentum	positive angular momentum
vanishing charge	Schwarzschild spacetime	Kerr spacetime
positive charge	Reissner-Nordström spacetime	Kerr-Newman spacetime

black hole spacetimes with dark energy	vanishing angular momentum	positive angular momentum
vanishing charge	Schwarzschild-de Sitter spacetime	Kerr-de Sitter spacetime
positive charge	Reissner-Nordström-de Sitter spacetime	Kerr-Newman-de Sitter spacetime

wormhole spacetimes	vanishing angular momentum
vanishing charge	Schwarzschild wormhole
positive charge	Reissner-Nordström wormhole

Quantum theory

quantum gravity
- graviton, gravitino
- string theory

Quantum Field Theory

Super-Geometry

Contents

Idea
Related concepts
References

Idea

A topological twist of supergravity.

Related concepts

holography as Koszul duality

References

Kevin Costello, Si Li, Twisted supergravity and its quantization [arXiv:1606.00365, spire:1466640]
Jay Cushing, Gregory W. Moore, Martin Rocek, Vivek Saxena: Superconformal Gravity And The Topology Of Diffeomorphism Groups [arXiv:2311.08394, spire:2722361]

On twisted D=11 supergravity:

Surya Raghavendran, Ingmar Saberi, Brian R. Williams: Twisted eleven-dimensional supergravity, Commun. Math. Phys. 402 (2023) 1103–1166 [arXiv:2111.03049, doi:10.1007/s00220-023-04745-2]

For type IIB supergravity:

Fabian Hahner: On square-zero elements in the IIB supersymmetry algebra [arXiv:2511.05659]

Last revised on September 4, 2026 at 05:59:33. See the history of this page for a list of all contributions to it.