# Twisted supergravity and its quantization

@article{Costello2016TwistedSA, title={Twisted supergravity and its quantization}, author={Kevin J. Costello and Si Li}, journal={arXiv: High Energy Physics - Theory}, year={2016} }

Twisted supergravity is supergravity in a background where the bosonic ghost field takes a non-zero value. This is the supergravity counterpart of the familiar concept of twisting supersymmetric field theories. In this paper, we give conjectural descriptions of type IIA and IIB supergravity in $10$ dimensions. Our conjectural descriptions are in terms of the closed-string field theories associated to certain topological string theories, and we conjecture that these topological string theories…

## 44 Citations

Twisting pure spinor superfields, with applications to supergravity

- Physics, Mathematics
- 2021

We study twists of supergravity theories and supersymmetric field theories, using a version of the pure spinor superfield formalism. Our results show that, just as the component fields of…

Twisted eleven-dimensional supergravity

- Physics, Mathematics
- 2021

We construct a fully interacting holomorphic/topological theory in eleven dimensions that is defined on products of Calabi–Yau fivefolds with real one-manifolds. The theory describes a particular…

Twisting and localization in supergravity: equivariant cohomology of BPS black holes

- PhysicsJournal of High Energy Physics
- 2019

A bstractWe develop the formalism of supersymmetric localization in supergravity using the deformed BRST algebra defined in the presence of a supersymmetric background as recently formulated in [1].…

On Cohomological Algebras in Supersymmetric Quantum Field Theories

- Physics
- 2019

In this thesis we compute certain supersymmetric subsectors of the algebra of observables in some Quantum Field Theories (QFTs) and demonstrate an application of such computation in checking an…

Holomorphic boundary conditions for topological field theories via branes in twisted supergravity

- Physics
- 2021

Three-dimensional N = 4 supersymmetric field theories admit a natural class of chiral half-BPS boundary conditions that preserve N = (0, 4) supersymmetry. While such boundary conditions are not…

Twisted heterotic/type I duality

- Physics, Mathematics
- 2021

We formulate a twisted version of the conjectured duality between heterotic and type I string theories. Our formulation relates the chiral part of the heterotic string with a type I topological…

Twisted characters and holomorphic symmetries

- Mathematics, Physics
- 2019

We consider holomorphic twists of arbitrary supersymmetric theories in four dimensions. Working in the BV formalism, we rederive classical results characterizing the holomorphic twist of chiral and…

Pure and twisted holography

- Physics
- 2019

We analyze a simple example of a holographically dual pair in which we topologically twist both theories. The holography is based on the two-dimensional N = 2 supersymmetric Liouville conformal field…

Holography and Koszul duality: the example of the $M2$ brane

- Physics, Mathematics
- 2017

Si Li and author suggested in that, in some cases, the AdS/CFT correspondence can be formulated in terms of the algebraic operation of Koszul duality. In this paper this suggestion is checked…

M-theory in the Omega-background and 5-dimensional non-commutative gauge theory

- Physics
- 2016

The $\Omega$-background is defined for supergravity, and a very general class of such backgrounds is constructed for 11-dimensional supergravity. 11-dimensional supergravity in a certain…

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