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We construct black hole attractor solutions for a wide class of N=2 compactifications. The analysis is carried out in ten dimensions and makes crucial use of pure spinor techniques. This formalism can accommodate non-Kaehler manifolds as…

High Energy Physics - Theory · Physics 2009-11-11 Jonathan P. Hsu , Alexander Maloney , Alessandro Tomasiello

We revisit the series solutions of the attractor equations of 4d N=2 supergravities obtained by Calabi--Yau compactifications previously studied in Candelas, Kuusela, and McGovern (2021). While only convergent for a restricted set of black…

High Energy Physics - Theory · Physics 2025-06-11 Philip Candelas , Xenia de la Ossa , Joseph McGovern

We discuss non-supersymmetric attractors with an instanton correction in Type IIA string theory compactified on a Calabi-Yau three-fold at large volume. For a stable non-supersymmetric black hole, the attractor point must minimize the…

High Energy Physics - Theory · Physics 2011-02-03 Pramod Dominic , Prasanta K. Tripathy

In the process of studying the zeta-function for one parameter families of Calabi-Yau manifolds we have been led to a manifold, first studied by Verrill, for which the quartic numerator of the zeta-function factorises into two quadrics…

High Energy Physics - Theory · Physics 2020-12-02 Philip Candelas , Xenia de la Ossa , Mohamed Elmi , Duco van Straten

We consider attractor varieties arising in the construction of dyonic black holes in Calabi-Yau compactifications of IIB string theory. We show that the attractor varieties are constructed from products of elliptic curves with complex…

High Energy Physics - Theory · Physics 2017-09-07 Gregory Moore

We show how Moore's observation, in the context of toroidal compactifications in type IIB string theory, concerning the complex multiplication structure of black hole attractor varieties, can be generalized to Calabi-Yau compactifications…

High Energy Physics - Theory · Physics 2010-11-19 Monika Lynker , Vipul Periwal , Rolf Schimmrigk

We look for possible nonsupersymmetric black hole attractor solutions for type II compactification on (the mirror of) CY_3(2,128) expressed as a degree-12 hypersurface in WCP^4[1,1,2,2,6]. In the process, (a) for points away from the…

High Energy Physics - Theory · Physics 2008-11-26 Payal Kaura , Aalok Misra

We study black hole attractor equations for one-(complex structure)modulus Calabi-Yau spaces which are the mirror dual of Fermat Calabi-Yau threefolds (CY_{3}s). When exploring non-degenerate solutions near the Landau-Ginzburg point of the…

High Energy Physics - Theory · Physics 2008-11-26 S. Bellucci , S. Ferrara , A. Marrani , A. Yeranyan

We have found the entropy of N=2 extreme black holes associated with general Calabi-Yau moduli space. We show that for arbitrary d_{ABC} and black hole charges the entropy-area formula depends on combinations of these charges and parameters…

High Energy Physics - Theory · Physics 2008-11-26 Marina Shmakova

By making use of the entropy function formalism we study the generalized attractor equations in the four dimensional N=2 supergravity in presence of higher order corrections. This result might be used to understand a possible ensemble one…

High Energy Physics - Theory · Physics 2009-11-11 Mohsen Alishahiha , Hajar Ebrahim

The microstates of 4d BPS black holes in IIA string theory compactified on a Calabi-Yau manifold are counted by a (generalized) elliptic genus of a (0,4) conformal field theory. By exploiting a spectral flow that relates states with…

High Energy Physics - Theory · Physics 2009-11-11 Jan de Boer , Miranda C. N. Cheng , Robbert Dijkgraaf , Jan Manschot , Erik Verlinde

We study the attractor mechanism in low energy effective D=4, N=2 Yang-Mills theory weakly coupled to gravity, obtained from the effective action of type IIB string theory compactified on a Calabi-Yau manifold. Using special K\"{a}hler…

High Energy Physics - Theory · Physics 2014-11-18 Frederik Denef

Black holes in string theory compactified on Calabi-Yau varieties a priori might be expected to have moduli dependent features. For example the entropy of the black hole might be expected to depend on the complex structure of the manifold.…

Algebraic Geometry · Mathematics 2007-05-23 Monika Lynker , Vipul Periwal , Rolf Schimmrigk

We study, by means of mirror symmetry, the quantum geometry of the K\"ahler-class parameters of a number of Calabi-Yau manifolds that have $b_{11}=2$. Our main interest lies in the structure of the moduli space and in the loci corresponding…

High Energy Physics - Theory · Physics 2009-10-22 Philip Candelas , Xenia de la Ossa , Anamaria Font , Sheldon Katz , David R. Morrison

[abridged version] We study extremal solutions arising in M-theory compactifications on Calabi-Yau threefolds, focussing on non-BPS attractors for their importance in relation to the Weak Gravity Conjecture. In the low-energy/field theory…

High Energy Physics - Theory · Physics 2022-02-15 Alessio Marrani , Anshul Mishra , Prasanta K. Tripathy

We study non-supersymmetric extremal black hole excitations of 4d N=2 supersymmetric string vacua arising from compactification on Calabi-Yau threefolds. The values of the (vector multiplet) moduli at the black hole horizon are governed by…

High Energy Physics - Theory · Physics 2020-10-13 George Hulsey , Shamit Kachru , Sungyeon Yang , Max Zimet

We connect recent conjectures and observations pertaining to geodesics, attractor flows, Laplacian eigenvalues and the geometry of moduli spaces by using that attractor flows are geodesics. For toroidal compactifications, attractor points…

High Energy Physics - Theory · Physics 2024-08-05 Fabian Ruehle , Benjamin Sung

The attractor mechanism governs the near-horizon geometry of extremal black holes in ungauged 4D N=2 supergravity theories and in Calabi-Yau compactifications of string theory. In this paper, we study a natural generalization of this…

High Energy Physics - Theory · Physics 2011-09-08 Shamit Kachru , Renata Kallosh , Marina Shmakova

The dimensional reduction of eleven dimensional supergravity on a Calabi-Yau manifold gives N=2 supergravity in five dimensions with $h_{1,1}$ vector and $h_{2,1}+1$ hypermultiplets. In this paper instanton solutions are constructed which…

High Energy Physics - Theory · Physics 2009-10-31 Michael Gutperle , Michal Spalinski

Motivated by the recently proposed connection between N=2 BPS black holes and topological strings, I study the attractor equations and their interplay with the holomorphic anomaly equation. The topological string partition function is…

High Energy Physics - Theory · Physics 2007-05-23 Erik Verlinde
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