Godel Spacetimes, Abelian Instantons, the Graviphoton Background and other Flacuum Solutions

TL;DR

This paper explores the relationships between various supersymmetric vacua in different dimensions, introducing a new limiting procedure connecting black holes to Godel spacetimes and constructing novel solutions with anti-selfdual fluxes.

Contribution

It presents a new limiting procedure linking over-rotating black holes to Godel spacetimes and constructs new Euclidean solutions with anti-selfdual fluxes, expanding the landscape of known supergravity vacua.

Findings

Derived a limiting procedure from BMPV black holes to Godel spacetime.

Constructed Euclidean solutions with anti-selfdual fluxes (flacuum).

Connected flux backgrounds to graviphoton C-deformation.

Abstract

We study the relations between all the vacua of Lorentzian and Euclidean d=4,5,6 SUGRAs with 8 supercharges, finding a new limiting procedure that takes us from the over-rotating near-horizon BMPV black hole to the Godel spacetime. The timelike compactification of the maximally supersymmetric Godel solution of N=1,d=5 SUGRA gives a maximally supersymmetric solution of pure Euclidean N=2,d=4 with flat space but non-trivial anti-selfdual vector field flux (``flacuum'') that, on the one hand, can be interpreted as an U(1) instanton on the 4-torus and that, on the other hand, coincides with the graviphoton background shown by Berkovits and Seiberg to produce the C-deformation introduced recently by Ooguri and Vafa. We construct flacuum solutions in other theories such as Euclidean type IIA supergravity.