In this paper we analyse non-supersymmetric single centred extremal black hole solutions in N=2 supergravity theory coupled to n vector multiplets with purely cubic pre-potential in four dimensions. We consider the algebraic attractor equations in their most general form at the black hole horizon. We explicitly construct a new class of solutions for these attractor equations. These solutions are characterised by a set of involutory matrices. These involutions are obtained from a constraint involving the parameters in the pre-potential and generate new attractor points in the moduli space. © 2017 The Author

Prasanta Kumar Tripathy

Department Of Physics

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IIT Madras

Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

We study the effect of Freudenthal duality on supersymmetric extremal black hole attractors in = 2, D = 4 ungauged supergravity. Freudenthal duality acts on the dyonic black hole charges as an anti-involution which keeps the black hole entropy and the critical points of the effective black hole potential invariant. We analyze its effect on the recently discovered distinct, mutually exclusive phases of axionic supersymmetric black holes, related to the existence of nontrivial involutory constant matrices. In particular, we consider a supersymmetric D0-D4-D6 black hole and we explicitly Freudenthal-map it to a supersymmetric D0-D2-D4-D6 black hole. We thus show that the charge representation space of a supersymmetric D0-D2-D4-D6 black hole also contains mutually exclusive domains. © 2017 World Scientific Publishing Company.

International Journal of Modern Physics A

Supersymmetric black holes and Freudenthal duality

In this paper we discuss the uniqueness of supersymmetric attractors in four-dimensional N=. 2 supergravity theories coupled to n vector multiplets. We prove that for a given charge configuration the supersymmetry preserving axion free attractors are unique. We generalise the analysis to axionic attractors and state the conditions for uniqueness explicitly. We consider the example of a two-parameter model and find all solutions to the supersymmetric attractor equations and discuss their uniqueness. © 2015 The Authors.

Journal	Data powered by TypesetPhysics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Publisher	Data powered by TypesetElsevier B.V.
ISSN	03702693
Open Access	No