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The macroscopic entropy and the attractor equations for BPS black holes in four-dimensional N=2 supergravity theories follow from a variational principle for a certain `entropy function'. We present this function in the presence of…

High Energy Physics - Theory · Physics 2009-11-11 G. L. Cardoso , B. de Wit , J. Käppeli , T. Mohaupt

We examine the recently proposed relations between black hole entropy and the topological string in the context of type II/heterotic string dual models. We consider the degeneracies of perturbative heterotic BPS states. In several examples…

High Energy Physics - Theory · Physics 2010-02-03 Atish Dabholkar , Frederik Denef , Gregory W. Moore , Boris Pioline

It has recently been proposed that a class of supersymmetric higher-derivative interactions in N=2 supergravity may encapsulate an infinite number of finite size corrections to the microscopic entropy of certain supersymmetric black holes.…

High Energy Physics - Theory · Physics 2011-05-05 Atish Dabholkar , Frederik Denef , Gregory W. Moore , Boris Pioline

The entropy of a half-BPS black hole in N=4 supersymmetric heterotic string compactification is independent of the details of the charge vector and is a function only of the norm of the charge vector calculated using the appropriate…

High Energy Physics - Theory · Physics 2009-09-15 Ashoke Sen

The Hesse potential is constructed for a class of four-dimensional N=2 supersymmetric effective actions with S- and T-duality by performing the relevant Legendre transform by iteration. It is a function of fields that transform under…

High Energy Physics - Theory · Physics 2013-12-04 G. L. Cardoso , B. de Wit , S. Mahapatra

We compare the logarithm of the degeneracy of BPS saturated elementary string states and the string modified Bekenstein-Hawking entropy of the corresponding black holes in N=2 supersymmetric heterotic string compactification to four…

High Energy Physics - Theory · Physics 2009-10-30 Ashoke Sen

We consider a deformation of the well-known stu model of $N=2$, $D=4$ supergravity, characterized by a non-homogeneous special K\"{a}hler manifold, and by the smallest electric-magnetic duality Lie algebra consistent with its upliftability…

High Energy Physics - Theory · Physics 2015-07-21 Dietmar Klemm , Alessio Marrani , Nicolò Petri , Camilla Santoli

We compute the supersymmetric index of half BPS black holes in N=2 supergravity with higher curvature corrections and show that the result agrees with the degeneracy of supersymmetric extremal black holes carrying the same charges. Both…

High Energy Physics - Theory · Physics 2024-11-14 Subramanya Hegde , Ashoke Sen , P Shanmugapriya , Amitabh Virmani

It is shown that the asymptotic growth of the microscopic degeneracy of BPS dyons in four-dimensional N=4 string theory captures the known corrections to the macroscopic entropy of four-dimensional extremal black holes. These corrections…

High Energy Physics - Theory · Physics 2009-11-10 G. L. Cardoso , B. de Wit , J. Käppeli , T. Mohaupt

We consider BPS states in M theory compactified on a Calabi-Yau threefold with one K\"ahler parameter, and investigate their relation to blackholes and blackrings. On the microscopic side, a characterization of the BPS degeneracy can be…

High Energy Physics - Theory · Physics 2024-01-09 Indranil Halder , Ying-Hsuan Lin

The entropy and the attractor equations for static extremal black hole solutions follow from a variational principle based on an entropy function. In the general case such an entropy function can be derived from the reduced action evaluated…

High Energy Physics - Theory · Physics 2010-10-27 G. L. Cardoso , B. de Wit , S. Mahapatra

We revisit and study quantum corrections to the supersymmetric entropy of BPS black holes in 4d $\mathcal{N}=2$ effective field theories (EFTs), which can be obtained from Type IIA string theory compactified on a Calabi-Yau threefold.…

High Energy Physics - Theory · Physics 2025-09-08 Alberto Castellano , Matteo Zatti

Logarithmic corrections to the extremal black hole entropy can be computed purely in terms of the low energy data -- the spectrum of massless fields and their interaction. The demand of reproducing these corrections provides a strong…

High Energy Physics - Theory · Physics 2015-05-30 Ashoke Sen

Motivated by the recent conjecture of Ooguri, Strominger and Vafa, we compute the semi-canonical partition function of BPS black holes in N=4 and N=8 string theories, to all orders in perturbation theory. Not only are the black hole…

High Energy Physics - Theory · Physics 2009-11-11 David Shih , Xi Yin

In four-dimensional N=2 compactifications of string theory or M-theory, modifications of the Bekenstein-Hawking area law for black hole entropy in the presence of higher-derivative interactions are crucial for finding agreement between the…

High Energy Physics - Theory · Physics 2008-11-26 Gabriel Lopes Cardoso , Bernard de Wit , Thomas Mohaupt

We obtain holographic constraints on the microscopic degeneracies of black holes by computing the exact macroscopic quantum entropy using localization, including the effects of string worldsheet instantons in the supergravity effective…

High Energy Physics - Theory · Physics 2016-05-04 Sameer Murthy , Valentin Reys

We evaluate the mixed partition function for dyonic BPS black holes using the recently proposed degeneracy formula for the STU model. The result factorizes into the OSV mixed partition function times a proportionality factor. The latter is…

High Energy Physics - Theory · Physics 2009-03-24 G. L. Cardoso , J. R. David , B. de Wit , S. Mahapatra

Macroscopic computation of the degeneracy / index of a BPS black hole requires carrying out string theory path integral over the near horizon geometry of the black hole. It has been suggested that the path integral can be localized to a…

High Energy Physics - Theory · Physics 2023-02-28 Ashoke Sen

In Type II Calabi-Yau string compactifications, S-duality predicts that suitable generating series of BPS indices counting microstates of D4-D2-D0 black holes are in general mock modular forms of higher depth. The non-holomorphic…

High Energy Physics - Theory · Physics 2026-04-14 Boris Pioline , Rishi Raj

We discuss the transformation properties of classical extremal N=2 black hole solutions in S-T-U like models under S and T duality. Using invariants of (subgroups of) the triality group, which is the symmetry group of the classical BPS mass…

High Energy Physics - Theory · Physics 2009-10-07 Gabriel Lopes Cardoso , Dieter Lust , Thomas Mohaupt
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