Nonlinear symmetries of black hole entropy in gauged supergravity
Abstract
Freudenthal duality in N = 2, D = 4 ungauged supergravity is generated by an antiinvolutive operator that acts on the electromagnetic fluxes, and results to be a symmetry of the BekensteinHawking entropy. We show that, with a suitable extension, this duality can be generalized to the abelian gauged case as well, even in presence of hypermultiplets. By defining Freudenthal duality along the scalar flow, one can prove that two configurations of charges and gaugings linked by the Freudenthal operator share the same set of values of the scalar fields at the black hole horizon. Consequently, Freudenthal duality is promoted to a nonlinear symmetry of the black hole entropy. We explicitly show this invariance for the model with prepotential F =  iX ^{0} X ^{1} and FayetIliopoulos gauging.
 Publication:

Journal of High Energy Physics
 Pub Date:
 April 2017
 DOI:
 10.1007/JHEP04(2017)013
 arXiv:
 arXiv:1701.08536
 Bibcode:
 2017JHEP...04..013K
 Keywords:

 Black Holes;
 Black Holes in String Theory;
 Supergravity Models;
 High Energy Physics  Theory;
 General Relativity and Quantum Cosmology
 EPrint:
 16 pages, uses jheppub.sty