The generating solution of regular N=8 BPS black holes

TL;DR

This paper constructs a simplified five-parameter generating solution for regular N=8 BPS black holes within supergravity, enabling easier derivation of various black hole solutions via U-duality transformations.

Contribution

It presents a new, simpler form of the generating solution for N=8 BPS black holes within the N=2 STU model, with well-defined U-duality action for solution generation.

Findings

Constructed a five-parameter generating solution for N=8 BPS black holes.

Demonstrated the solution's simplicity compared to previous models.

Enabled derivation of R-R black holes via U-duality rotations.

Abstract

In this paper we construct the 5 parameter generating solution of N=8 BPS regular supergravity black holes as a five parameter solution of the N=2 STU model. Our solution has a simpler form with respect to previous constructions already appeared in the literature and moreover, through the embedding [SL(2)]^3\subset SU(3,3)\subset E_{(7)7} discussed in previous papers, the action of the U-duality group is well defined. This allows to reproduce via U-duality rotations any other solution, like those corresponding to R-R black holes whose microscopic description is given by intersecting D-branes.