• Corpus ID: 242758445

Twisted eleven-dimensional supergravity

@inproceedings{Raghavendran2021TwistedES,
  title={Twisted eleven-dimensional supergravity},
  author={Surya Raghavendran and Ingmar Saberi and Brian R. Williams},
  year={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 deformation of the cotangent bundle to the moduli space of Calabi–Yau structures on the fivefold. Its field content matches the holomorphic (or minimal) twist of the eleven-dimensional supergravity multiplet recently computed by the second two authors, and we offer numerous consistency checks showing… 

Tables from this paper

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

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

A holographic approach to the six-dimensional superconformal index

We present a conjectural description of the space of local operators on a stack of finitely many fivebranes in M theory at the level of the holomorphic twist. Our approach is through the lens of

The derived pure spinor formalism as an equivalence of categories

A BSTRACT . We construct a derived generalization of the pure spinor superfield formalism and prove that it exhibits an equivalence of dg-categories between multiplets for a supertranslation algebra

Maximally Twisted Eleven-Dimensional Supergravity

We perform the maximal twist of eleven-dimensional supergravity. This twist is partially topological and exists on manifolds of G2×SU(2)\documentclass[12pt]{minimal} \usepackage{amsmath}

References

SHOWING 1-10 OF 48 REFERENCES

Twisting pure spinor superfields, with applications to supergravity

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

Fivebrane Structures

We study the cohomological physics of fivebranes in type II and heterotic string theory. We give an interpretation of the one-loop term in type IIA, which involves the first and second Pontrjagin

Twisted supergravity and its quantization

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

Nilpotence Varieties

We consider algebraic varieties canonically associated with any Lie superalgebra, and study them in detail for super-Poincaré algebras of physical interest. They are the locus of nilpotent elements

Holomorphic Poisson Field Theories

We construct a class of quantum field theories depending on the data of a holomorphic Poisson structure on a piece of the underlying spacetime. The main technical tool relies on a characterization of

Calabi-Yau Geometry and Higher Genus Mirror Symmetry

We study closed string mirror symmetry on compact Calabi-Yau manifolds at higher genus. String theory predicts the existence of two sets of geometric invariants, from the A-model and the B-model on

Kodaira-Spencer theory of gravity and exact results for quantum string amplitudes

We develop techniques to compute higher loop string amplitudes for twistedN=2 theories withĉ=3 (i.e. the critical case). An important ingredient is the discovery of an anomaly at every genus in

Twisted Supergravity and Koszul Duality: A Case Study in AdS$$_3$$

In this note, we study a simplified variant of the familiar holographic duality between supergravity on AdS$_3\times S^3\times T^4$ and the SCFT (on the moduli space of) the symmetric orbifold theory

Quantization of topological-holomorphic field theories: local aspects

In both mathematics and physics, topological field theories and holomorphic field theories appear naturally, but there are interesting theories that are hybrids— looking topological in some

Division Algebras and Supersymmetry IV

Recent work applying higher gauge theory to the superstring has indicated the presence of 'higher symmetry', and the same methods work for the super-2-brane. In the previous paper in this series, we