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 Kähler 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 Kähler manifolds.

Katmadas, S., Tomasiello, A. (2015). AdS4 black holes from M-theory. JOURNAL OF HIGH ENERGY PHYSICS, 2015(12), 1-31 [10.1007/JHEP12(2015)111].

AdS4 black holes from M-theory

KATMADAS, STEFANOS
;
TOMASIELLO, ALESSANDRO
2015

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 Kähler 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 Kähler manifolds.
Articolo in rivista - Articolo scientifico
Black Holes in String Theory; Supergravity Models
English
2015
2015
12
1
31
111
open
Katmadas, S., Tomasiello, A. (2015). AdS4 black holes from M-theory. JOURNAL OF HIGH ENERGY PHYSICS, 2015(12), 1-31 [10.1007/JHEP12(2015)111].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/106301
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