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In these lecture notes we describe recent progress in our understanding of attractor mechanism and entropy of extremal black holes based on the entropy function formalism. We also describe precise computation of the microscopic degeneracy…

High Energy Physics - Theory · Physics 2010-04-06 Ashoke Sen

The original proposal of Dijkgraaf, Verlinde and Verlinde for the quarter BPS dyon partition function in heterotic string theory on T^6 is known to correctly produce the degeneracy of dyons of torsion 1, i.e. dyons for which gcd(Q\wedge…

High Energy Physics - Theory · Physics 2009-09-15 Shamik Banerjee , Ashoke Sen , Yogesh K. Srivastava

We show that the temperature and entropy of a BTZ black hole are invariant under T-duality to next to leading order in $M_\star^{-2}$, $M_\star$ being the scale suppressing higher-curvature/derivative terms in the Lagrangian. We work in the…

High Energy Physics - Theory · Physics 2018-08-01 Jose D. Edelstein , Konstantinos Sfetsos , J. Anibal Sierra-Garcia , Alejandro Vilar Lopez

Within effective heterotic superstring theory compactified on a six-torus we derive minimum energy (supersymmetric), static, spherically symmetric solutions, which are manifestly invariant under the target space $O(6,22)$ and the…

High Energy Physics - Theory · Physics 2009-09-17 Mirjam Cvetic , Donam Youm

In heterotic string theory compactified to four dimensions with N=2 supersymmetry, string-loop corrections to the universal sector of the low-energy effective action are studied. Within the framework of N=2 supersymmetric formulation of the…

High Energy Physics - Theory · Physics 2014-11-18 Mikhail Z. Iofa

The BTZ black hole provides a tractable (2+1)-dimensional example for investigating string dynamics in curved spacetime. However, a systematic and robust analysis of the solution space of strings in the near-horizon region of BTZ black…

High Energy Physics - Theory · Physics 2026-05-04 Aritra Banerjee , Arkachur Bhattacharya , Sharang Rajesh Iyer , Ansh Mishra , Priyadarshini Pandit

We revisit our earlier work which lead to a periodic table of Borcherds-Kac-Moody algebras that appeared in the context of the refined generating function of quarter-BPS (dyons) in $\mathcal{N}=4$ supersymmetric four-dimensional string…

High Energy Physics - Theory · Physics 2019-11-20 Suresh Govindarajan , Sutapa Samanta

A simple equality is proposed between the BPS partition function of a general 4D IIA Calabi-Yau black hole and that of a 5D spinning M-theory Calabi-Yau black hole. Combining with recent results then leads to a new relation between the 5D…

High Energy Physics - Theory · Physics 2009-11-11 D. Gaiotto , A. Strominger , X. Yin

Supersymmetric closed string theories contain an infinite tower of BPS-saturated, oscillating, macroscopic strings in the perturbative spectrum. When these theories have dual formulations, this tower of states must exist nonperturbatively…

High Energy Physics - Theory · Physics 2009-10-28 A. Dabholkar , J. P. Gauntlett , J. A. Harvey , D. Waldram

BPS black hole degeneracies can be expressed in terms of an inverse Laplace transform of a partition function based on a mixed electric/magnetic ensemble, which involves a non-trivial integration measure. This measure has been evaluated for…

High Energy Physics - Theory · Physics 2010-05-28 G. L. Cardoso , B. de Wit , S. Mahapatra

We determine the generating functions of 1/4 BPS dyons in a class of 4d $\mathcal{N}=4$ string vacua arising as CHL orbifolds of $K3 \times T^2$, a classification of which has been recently completed. We show that all such generating…

High Energy Physics - Theory · Physics 2017-06-07 Natalie M. Paquette , Roberto Volpato , Max Zimet

We review the macroscopic and microscopic properties of black holes of toroidally compactified heterotic and Type II string theory in dimensions 4<=D<=9. General charged rotating black hole solutions are obtained by acting on a generating…

High Energy Physics - Theory · Physics 2009-10-30 Mirjam Cvetic

In string theory, black holes can be made from brane systems that are partially delocalized in string theory's extra dimensions. It is expected that they correspond to an ensemble of pure, horizonless microstates sourced by localized…

High Energy Physics - Theory · Physics 2024-05-22 Ben Eckardt

We show that string theory on a compact negatively curved manifold, preserving a U(1)^{b_1} winding symmetry, grows at least b_1 new effective dimensions as the space shrinks. The winding currents yield a "D-dual" description of a Riemann…

High Energy Physics - Theory · Physics 2008-11-26 Daniel Green , Albion Lawrence , John McGreevy , David R. Morrison , Eva Silverstein

Black holes carry more information about the microstates than just the total degeneracy. As a concrete example, the Z(N)-twined helicity trace indices for 1/4-BPS black holes of the CHL models allow extracting information about the…

High Energy Physics - Theory · Physics 2024-02-05 Suresh Govindarajan , Sutapa Samanta , P Shanmugapriya , Amitabh Virmani

We study the transformation under the String Theory duality group of the observable charges (mass, angular momentum, NUT charge, electric, magnetic and different scalar charges) of four dimensional point-like objects whose asymptotic…

High Energy Physics - Theory · Physics 2009-10-30 Enrique Alvarez , Patrick Meessen , Tomas Ortin

We review the recently proposed string theory in two dimensional black hole background. Especially, the structure of the duality in the target space is discussed. The duality is analogous to \lq\lq $R \rightarrow 1/R$" symmetry of a…

High Energy Physics - Theory · Physics 2008-11-26 Shin'ichi Nojiri

We analyze the fate of excitations in regions of closed string tachyon condensate, a question crucial for understanding unitarity in a class of black holes in string theory. First we introduce a simple new example of {\it quasilocal}…

High Energy Physics - Theory · Physics 2008-11-26 Gary T. Horowitz , Eva Silverstein

We consider the effects of abelian duality transformations on static, spherically-symmetric, asymptotically flat string spacetimes in four dimensions, where the dilaton, axion, metric, and gauge fields are allowed to be nonzero. Independent…

High Energy Physics - Theory · Physics 2008-11-26 C. P. Burgess , R. C. Myers , F. Quevedo

We perform the spherical symmetric dimensional reduction $4d\to2d$ of heterotic string theory. We find a class of two-dimensional (2d) dilaton gravity models that gives a general description of the near-horizon, near-extremal behavior of…

High Energy Physics - Theory · Physics 2010-11-19 Mariano Cadoni