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The c-map relates classical hypermultiplet moduli spaces in compactifications of type II strings on a Calabi-Yau threefold to vector multiplet moduli spaces via a further compactification on a circle. We give an off-shell description of the…

High Energy Physics - Theory · Physics 2009-11-11 Martin Rocek , Cumrun Vafa , Stefan Vandoren

It is observed that the three-dimensional BTZ black hole is a supersymmetric solution of the low-energy field equations of heterotic string theory compactified on an Einstein space. The solution involves a non-zero dilaton and NS-NS…

High Energy Physics - Theory · Physics 2009-10-31 Danny Birmingham , Ivo Sachs , Siddhartha Sen

Based on special geometry, we consider corrections to N=2 extremal black-hole solutions and their entropies originating from higher-order derivative terms in N=2 supergravity. These corrections are described by a holomorphic function, and…

High Energy Physics - Theory · Physics 2008-11-26 Klaus Behrndt , Gabriel Lopes Cardoso , Bernard de Wit , Dieter Lüst , Thomas Mohaupt , Wafic A. Sabra

Motivated by the Weak Gravity Conjecture, we uncover an intricate interplay between black holes, BPS particle counting, and Calabi-Yau geometry in five dimensions. In particular, we point out that extremal BPS black holes exist only in…

High Energy Physics - Theory · Physics 2021-10-19 Murad Alim , Ben Heidenreich , Tom Rudelius

Combining toric geometry techniques and $\mathcal{N}=2$ supergravity formalisms, we study 5D black branes in the M-theory compactification on a four parameter Calabi-Yau threefold. First, we investigate 5D BPS and non-BPS black holes that…

High Energy Physics - Theory · Physics 2025-01-20 A. Belhaj , H. Belmahi , A. Bouhouch , S. E. Ennadifi , M. B. Sedra

We consider the AdS_2/CFT_1 holographic correspondence near the horizon of big four-dimensional black holes preserving four supersymmetries in toroidally compactified Type-II string theory. The boundary partition function of CFT_1 is given…

High Energy Physics - Theory · Physics 2013-02-20 Atish Dabholkar , Joao Gomes , Sameer Murthy

In 1994, Susskind and Uglum argued that it is possible to derive the Bekenstein-Hawking entropy $A/4G_N$ from string theory. In this article we explain the conceptual underpinnings of this argument, while elucidating its relationship to…

High Energy Physics - Theory · Physics 2024-08-01 Amr Ahmadain , Aron C. Wall

We show that the topological string partition function with D-branes on a compact Calabi-Yau manifold has new anomalies that spoil the recursive structure of the holomorphic anomaly equation and introduce dependence on wrong moduli (such as…

High Energy Physics - Theory · Physics 2009-09-17 Paul L. H. Cook , Hirosi Ooguri , Jie Yang

Topological string theory partition function gives rise to Gromov-Witten invariants, Donaldson-Thomas invariants and 5D BPS indices. Using the remodeling conjecture, which connects Topological Recursion with topological string theory for…

Mathematical Physics · Physics 2026-01-23 Sibasish Banerjee , Alexander Hock , Olivier Marchal

We study string theory on the extended spacetime of the BTZ black hole, as described by an orbifold of the SL(2,R) WZW model. The full spacetime has an infinite number of disconnected boundary components, each corresponding to a dual CFT.…

High Energy Physics - Theory · Physics 2009-11-07 Samuli Hemming , Esko Keski-Vakkuri , Per Kraus

It has recently been shown that the M theory lift of a IIA 4D BPS Calabi-Yau black hole is a 5D BPS black hole spinning at the center of a Taub-NUT-flux geometries, and a certain linear relation between 4D and 5D BPS partition functions was…

High Energy Physics - Theory · Physics 2009-11-11 Davide Gaiotto , Andrew Strominger , Xi Yin

This PhD thesis explores the properties of certain solutions in stringy effective field theories (EFTs). In the context of heterotic string theory (HST), we study $\alpha'$ corrections to well-known black hole solutions. We present…

High Energy Physics - Theory · Physics 2025-05-05 Matteo Zatti

We show how the topological string partition function, which is known to capture the degeneracies of a gas of BPS spinning M2-branes in M-theory compactified to 5 dimensions, is related to a 4-dimensional D-brane system that consists of…

High Energy Physics - Theory · Physics 2007-05-23 Robbert Dijkgraaf , Cumrun Vafa , Erik Verlinde

We define a natural counting function for BPS black holes in $K3 \times T^2$ compactification of type II string theory, and observe that it is given by a weight 3/2 mock modular form discovered by Zagier. This hints at tantalizing relations…

High Energy Physics - Theory · Physics 2017-11-22 Shamit Kachru , Arnav Tripathy

We study the enumerative geometry of stable maps to Calabi-Yau 5-folds $Z$ with a group action preserving the Calabi-Yau form. In the central case $Z=X \times \mathbb{C}^2$, where $X$ is a Calabi-Yau 3-fold with a group action scaling the…

Algebraic Geometry · Mathematics 2024-10-02 Andrea Brini , Yannik Schuler

Following the recent trend we develop further the black hole analogy between quantum information theory and the theory of extremal stringy black hole solutions. We show that the three-qubit interpretation of supersymmetric black hole…

High Energy Physics - Theory · Physics 2008-11-26 Péter Lévay

Low-energy effective field theories arising from Calabi-Yau string compactifications are generically inconsistent or ill-defined at the classical level because of conifold singularities in the moduli space. It is shown, given a plausible…

High Energy Physics - Theory · Physics 2009-09-17 Andrew Strominger

Supersymmetric extreme dyonic black holes of toroidally compactified heterotic or type II string theory can be viewed as lower-dimensional images of solitonic strings wound around a compact dimension. We consider conformal sigma models…

High Energy Physics - Theory · Physics 2009-09-17 A. A. Tseytlin

Supersymmetric black holes provide an excellent theoretical laboratory to test ideas about quantum gravity in general and black hole entropy in particular. When four-dimensional supergravity is interpreted as the low-energy approximation of…

High Energy Physics - Theory · Physics 2016-11-15 T. Mohaupt

Depending on the value of the coupling, BPS states of type II string theory compactified on a Calabi-Yau manifold can be described as multicenter supergravity solutions or as states on the Coulomb or the Higgs branch of a quiver gauge…

High Energy Physics - Theory · Physics 2015-06-05 Iosif Bena , Micha Berkooz , Jan de Boer , Sheer El-Showk , Dieter Van den Bleeken
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