https://doi.org/10.1140/epjc/s10052-019-7015-x
Regular Article - Theoretical Physics
General supersymmetric 
black holes with squashed boundary
1
Dipartimento di Fisica ed Astronomia “Galileo Galilei”, Università di Padova, Via Marzolo 8, 35131, Padova, Italy
2
I.N.F.N. Sezione di Padova, Via Marzolo 8, 35131, Padova, Italy
3
Institut de Physique Théorique, Université Paris Saclay, CEA, CNRS, Orme des Merisiers, 91191, Gif-sur-Yvette, France
* e-mail: lorenzo.papini@pd.infn.it
Received:
21
March
2019
Accepted:
3
June
2019
Published online:
17
June
2019
We present a new family of asymptotically locally squashed supersymmetric black hole solutions of Fayet–Iliopoulos gauged 
, 
supergravity with two vector multiplets that have a natural uplift to type IIB supergravity. Our new family of black holes is characterized by three parameters, of which two control the horizon geometry while the latter regulates the squashing at the boundary. We evaluate the main physical properties of the family of solutions using holographic renormalization and find that the entropy is independent on the squashing and it is reproduced by using the angular momentum and the Page charges. In previously known solutions Page and holographic charges are equal, due to the vanishing of the Chern–Simons term that here, instead, is relevant. This result suggests that for asymptotically locally solutions we should refer to the Page charges to describe the thermodynamics of the system.
© The Author(s), 2019
