Abstract
We consider the BPS conditions of eleven dimensional supergravity, restricted to an appropriate ansatz for black holes in four non-compact directions. Assuming the internal directions to be described by a circle fibration over a K\"ahler manifold and considering the case where the complex structure moduli are frozen, we recast the resulting flow equations in terms of polyforms on this manifold. The result is a set of equations that are in direct correspondence with those of gauged supergravity models in four dimensions consistent with our simplifying assumptions. In view of this correspondence even for internal manifolds that do not correspond to known consistent truncations, we comment on the possibility of obtaining gauged supergravities from reductions on K\"ahler manifolds.
Highlights
Solutions [9, 10]
The result is a set of equations that are in direct correspondence with those of gauged supergravity models in four dimensions consistent with our simplifying assumptions
The result is a set of flow equations that are formally identical with the known flow equations for gauged supergravity models arising from M-theory reductions
Summary
We consider static backgrounds of eleven dimensional supergravity on a six dimensional Kahler manifold times a circle, assuming that two supercharges are preserved. We start by giving a short review of the M-theory BPS backgrounds of [13], which preserve an SU(5) structure and generically allow for a single supercharge. We spell out our ansatz to obtain static black hole backgrounds, which we implement to obtain flow equations for the moduli that interpolate between AdS2×S2 and AdS4
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
