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In this paper we apply the entropy function formalism to the two-dimensional black hole which come from the compactification of the heterotic string theory with the dilaton coupling function. We find the Bekenstein-Hawking entropy from the…

High Energy Physics - Theory · Physics 2009-04-24 J. Sadeghi , M. R. Setare , B. Pourhassan

We introduce a new density for the representation of quantum states on phase space. It is constructed as a weighted difference of two smooth probability densities using the Husimi function and first-order Hermite spectrograms. In contrast…

Mathematical Physics · Physics 2016-03-07 Johannes Keller , Caroline Lasser , Tomoki Ohsawa

The one-loop contribution to the entropy of a black hole from field modes near the horizon is computed in string theory. It is modular invariant and ultraviolet finite. There is an infrared divergence that signifies an instability near the…

High Energy Physics - Theory · Physics 2009-10-28 Atish Dabholkar

We consider corrections to the entropy of a black hole from an $O(N)$ invariant linear $\s$-model. We obtain the entropy from a $1/N$ expansion of the partition function on a cone. The entropy arises from diagrams which are analogous to…

High Energy Physics - Theory · Physics 2008-11-26 D. Kabat , S. H. Shenker , M. J. Strassler

By employing Husimi quasiprobability distributions, we show that a bounded portion of an unbounded phase space induces a finite effective dimension in an infinite dimensional Hilbert space. We compare our general expressions with numerical…

A linear open quantum system consisting of a harmonic oscillator linearly coupled to an infinite set of independent harmonic oscillators is considered; these oscillators have a general spectral density function and are initially in a…

Quantum Physics · Physics 2009-11-06 Esteban Calzetta , Albert Roura , Enric Verdaguer

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 consider a microscopic model of a stretched horizon of the Reissner-Nordstr\"om black hole. In our model the stretched horizon consists of discrete constituents. Using our model we obtain an explicit, analytic expression for the…

General Relativity and Quantum Cosmology · Physics 2012-12-07 Jarmo Makela

We consider M-theory compactification on Calabi-Yau threefolds. The recently discovered connection between the BPS states of wrapped M2 branes and the topological string amplitudes on the threefold is used both as a tool to compute…

High Energy Physics - Theory · Physics 2008-11-26 Sheldon Katz , Albrecht Klemm , Cumrun Vafa

We present a formula for the quantum entropy of supersymmetric five-dimensional spinning black holes in M-theory compactified on $CY_3$, i.e., BMPV black holes. We use supersymmetric localization in the framework of off-shell five…

High Energy Physics - Theory · Physics 2022-06-29 Rajesh Kumar Gupta , Sameer Murthy , Manya Sahni

We propose a program for counting microstates of four-dimensional BPS black holes in N >= 2 supergravities with symmetric-space valued scalars by exploiting the symmetries of timelike reduction to three dimensions. Inspired by the…

High Energy Physics - Theory · Physics 2011-02-09 Murat Gunaydin , Andrew Neitzke , Boris Pioline , Andrew Waldron

Quantum dots with conduction electrons or holes originating from several bands are considered. We assume the particles are confined in a harmonic potential and assume the electrons (or holes) belonging to different bands to be different…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 K. Karkkainen M. Koskinen , S. M. Reimann , M. Manninen

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

We investigate holomorphic anomalies of partition functions underlying string compactifications on Calabi-Yau fourfolds with background fluxes. For elliptic fourfolds the partition functions have an alternative interpretation as elliptic…

High Energy Physics - Theory · Physics 2022-03-14 Seung-Joo Lee , Wolfgang Lerche , Guglielmo Lockhart , Timo Weigand

We use phase space distributions specifically, the Wigner distribution (WD) and Husimi distribution (HD) to investigate certain information-theoretic measures as descriptors for a given system. We extensively investigate and analyze…

We revisit the old black hole S-Matrix construction and its new partial wave expansion of 't Hooft. Inspired by old ideas from non-critical string theory & $c=1$ Matrix Quantum Mechanics, we reformulate the scattering in terms of a quantum…

High Energy Physics - Theory · Physics 2020-04-06 Panagiotis Betzios , Nava Gaddam , Olga Papadoulaki

We analyse the dynamics of expectation values of quantum observables for the time-dependent semiclassical Schr\"odinger equation. To benefit from the positivity of Husimi functions, we switch between observables obtained from Weyl and…

Numerical Analysis · Mathematics 2013-03-19 Johannes Keller , Caroline Lasser

The distribution of measured values for maximally accurate, unbiased simultaneous measurements of position and momentum is investigated. It is shown, that if the measurement is retrodictively optimal, then the distribution of results is…

Quantum Physics · Physics 2007-05-23 D. M. Appleby

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

Microscopic calculations of the Bekenstein-Hawking entropy of supersymmetric black holes in string theory are typically based on the application to a dual 2D CFT of Cardy's formula, S=2\pi \sqrt{c q /6}, where `c' is the central charge and…

High Energy Physics - Theory · Physics 2009-11-11 Roberto Emparan , David Mateos