Freudenthal Duality and Generalized Special Geometry

Details Freudenthal Duality and Generalized Special Geometry Freudenthal Duality and Generalized Special Geometry

2011-02-23

arxiv.org/abs/1102.4857v2

Physics

High Energy Physics

High Energy Physics - Theory

1+9 pages; v2: some parts rewritten, Ref. added, to appear in PLB

Scientific paper

Freudenthal duality, introduced in L. Borsten, D. Dahanayake, M. J. Duff and W. Rubens, Phys.Rev. D80, 026003 (2009), and defined as an anti-involution on the dyonic charge vector in d = 4 space-time dimensions for those dualities admitting a quartic invariant, is proved to be a symmetry not only of the classical Bekenstein-Hawking entropy but also of the critical points of the black hole potential. Furthermore, Freudenthal duality is extended to any generalized special geometry, thus encompassing all N > 2 supergravities, as well as N = 2 generic special geometry, not necessarily having a coset space structure.

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