# BPS equations and non-trivial compactifications

@article{Tyukov2017BPSEA, title={BPS equations and non-trivial compactifications}, author={Alexander Tyukov and Nicholas P. Warner}, journal={Journal of High Energy Physics}, year={2017}, volume={2018}, pages={1-32} }

A bstractWe consider the problem of finding exact, eleven-dimensional, BPS supergravity solutions in which the compactification involves a non-trivial Calabi-Yau manifold, Y$$ \mathcal{Y} $$, as opposed to simply a T6. Since there are no explicitly-known metrics on non-trivial, compact Calabi-Yau manifolds, we use a non-compact “local model” and take the compactification manifold to be Y=ℳGH×T2$$ \mathcal{Y}={\mathrm{\mathcal{M}}}_{\mathrm{GH}}\times {T}^2 $$, where ℳGH is a hyper-Kähler…

## One Citation

### The structure of BPS equations for ambi-polar microstate geometries

- MathematicsClassical and Quantum Gravity
- 2018

Ambi-polar metrics, defined so as to allow the signature to change from to across hypersurfaces, are a mainstay in the construction of BPS microstate geometries. This paper elucidates the cohomology…

## References

SHOWING 1-10 OF 29 REFERENCES

### M-theory superstrata and the MSW string

- Physics
- 2017

A bstractThe low-energy description of wrapped M5 branes in compactifications of M-theory on a Calabi-Yau threefold times a circle is given by a conformal field theory studied by Maldacena,…

### New families of interpolating type IIB backgrounds

- Mathematics
- 2009

We construct new families of interpolating two-parameter solutions of type IIB supergravity. These correspond to D3-D5 systems on non-compact six-dimensional manifolds which are $$\mathbb{T}^{2} $$…

### Supergravity solutions from floating branes

- Physics
- 2009

We simplify the equations of motion of five-dimensional ungauged supergravity coupled to three U(1) gauge fields using a floating-brane Ansatz in which the electric potentials are directly related to…

### Habemus superstratum! A constructive proof of the existence of superstrata

- Physics
- 2015

A bstractWe construct the first example of a superstratum: a class of smooth horizonless supergravity solutions that are parameterized by arbitrary continuous functions of (at least) two variables…

### M-theory/type IIA duality and K3 in the Gibbons-Hawking approximation

- Mathematics
- 2012

We review the geometry of K3 surfaces and then describe this geometry from the point of view of an approximate metric of Gibbons-Hawking form. This metric arises from the M-theory lift of the…

### Bubbling supertubes and foaming black holes

- Mathematics
- 2006

We construct smooth BPS three-charge geometries that resolve the zero-entropy singularity of the U(1)xU(1) invariant black ring. This singularity is resolved by a geometric transition that results in…

### The geometry of D = 11 Killing spinors

- Mathematics
- 2003

We propose a way to classify the local form of all bosonic supersymmetric configurations of D = 11 supergravity, using the differential forms that can be constructed as bi-linears from the Killing…

### Supersymmetric solutions in six dimensions: a linear structure

- Mathematics
- 2012

A bstractThe equations underlying all supersymmetric solutions of six-dimensional minimal ungauged supergravity coupled to an anti-self-dual tensor multiplet have been known for quite a while, and…

### Momentum fractionation on superstrata

- Physics
- 2016

A bstractSuperstrata are bound states in string theory that carry D1, D5, and momentum charges, and whose supergravity descriptions are parameterized by arbitrary functions of (at least) two…