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In the present paper, we show that the motivic Hilbert zeta function for a curve singularity yields the generating functions for Euler numbers of punctual Hilbert schemes when any punctual Hilbert scheme admits an affine cell decomposition.…

代数几何 · 数学 2024-03-20 Masahiro Watari

Modular, Jacobi, and mock-modular forms serve as generating functions for BPS black hole degeneracies. By training feed-forward neural networks on Fourier coefficients of automorphic forms derived from the Dedekind eta function, Eisenstein…

高能物理 - 理论 · 物理学 2025-05-12 Vishnu Jejjala , Suresh Nampuri , Dumisani Nxumalo , Pratik Roy , Abinash Swain

We study the BPS black hole solutions of the (truncated) action for heterotic string theory compactified on a six-torus. The O(3,Z) duality symmetry of the theory, together with the bound state interpretation of extreme black holes, is used…

高能物理 - 理论 · 物理学 2010-11-19 M. Cadoni

Using the Hartle-Hawking no-boundary proposal for the wave function of the universe, we can study the wave function and probability of a single black hole created at the birth of the universe. The black hole originates from a constrained…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Wu Zhong Chao

We consider 5D supersymmetric black holes in string theory compactifications that partially break supersymmetry. We compactify type IIB on $T^4$ and then further compactify on a circle with a duality twist to give Minkowski vacua preserving…

高能物理 - 理论 · 物理学 2020-08-26 Chris Hull , Eric Marcus , Koen Stemerdink , Stefan Vandoren

We analyze the possible dynamical emergence of IR conformal field theory describing the low- energy excitations of near-extremal black holes in five-dimensional compactification of heterotic strings. We find that, by tuning the mass and…

综合物理 · 物理学 2013-01-17 Hossein Yavartanoo

We show that a special superconformal coset (with $\hat c =3$) is equivalent to $c=1$ matter coupled to two dimensional gravity. This identification allows a direct computation of the correlation functions of the $c=1$ non-critical string…

高能物理 - 理论 · 物理学 2009-10-22 S. Mukhi , C. Vafa , E. Frenkel

In this paper, we formulate black hole solutions through extended gravitational decoupling scheme in the framework of self-interacting Brans-Dicke theory. The addition of a new source in the matter distribution increases the degrees of…

广义相对论与量子宇宙学 · 物理学 2021-04-14 M. Sharif , Amal Majid

We show that the Gauss-Bonnet term can have physical effects in four dimensions. Specifically, the entropy of a black hole acquires a correction that is proportional to the Euler characteristic of the cross sections of the horizon. While…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Tomas Liko

Using the Sen's mechanism we calculate the entropy for an $AdS_{2}\times S^{d-2}$ extremal and static black hole in four dimensions, with higher derivative terms that comes from a three parameter non-minimal Einstein-Maxwell theory. The…

高能物理 - 理论 · 物理学 2012-01-17 A. Ulacia Rey

We discuss the horizon structure for Born-Infeld black holes, in the context of Einstein-Born-Infeld gravity. We show that the entropy function formalism agrees with a direct calculation of the entropy. With the entropy function formalism…

高能物理 - 理论 · 物理学 2008-11-26 Wissam A. Chemissany , Mees de Roo , Sudhakar Panda

By using the ultra-spinning limit as a generating solution technique, we construct a novel class of charged rotating asymptotic AdS black holes. That describes the exact D-dimnsioanl solutions of Einstein-Maxwell dilaton theory in the…

高能物理 - 理论 · 物理学 2017-11-21 S. M. Noorbakhsh , M. Ghominejad

A two charge system in string theory preserving eight supercharges can be described as a small black hole that has zero entropy in the supergravity approximation, but classical higher derivative corrections produce a finite entropy in…

高能物理 - 理论 · 物理学 2014-11-20 Ashoke Sen

We construct analytical solutions describing black holes and black strings in the Einstein $SU(N)$-non-linear sigma model in $(3+1)$ dimensions. This construction is carried out using the maximal embbeding ansatz of $SU(2)$ together with…

高能物理 - 理论 · 物理学 2022-08-31 Carla Henríquez-Báez , Marcela Lagos , Aldo Vera

We use solution-generating techniques to construct interpolating geometries between general asymptotically flat, charged, rotating, non-extremal black holes in four and five dimensions and their subtracted geometries. In the…

高能物理 - 理论 · 物理学 2015-06-15 Mirjam Cvetič , Monica Guica , Zain H. Saleem

We derive the Bekenstein-Hawking entropy for a class of BPS black holes in the massive type IIA supergravity background AdS$_4 \times S^6$ from a microscopic counting of supersymmetric ground states in a holographically dual field theory.…

高能物理 - 理论 · 物理学 2017-11-02 Seyed Morteza Hosseini , Kiril Hristov , Achilleas Passias

We briefly review the instanton-torus knot duality found in 5d SUSY gauge theories with one compact dimension. The fermion condensate turn out to be the generating function for the torus knot polynomials colored by the fundamental…

高能物理 - 理论 · 物理学 2016-04-12 A. Gorsky

The 2D model of gravity with zweibeins $e^{a}$ and the Lorentz connection one-form $\omega^{a}_{\ b}$ as independent gravitational variables is considered and it is shown that the classical equations of motion are exactly integrated in…

高能物理 - 理论 · 物理学 2009-10-22 S. N. Solodukhin

We discuss the notion of string entanglement in string theory, which aims to study entanglement between worldsheet Hilbert spaces rather than entanglement between spacetime Hilbert spaces defined on a time slice in spacetime. Applying this…

高能物理 - 理论 · 物理学 2026-05-19 Soichiro Mori , Tadakatsu Sakai , Masaki Shigemori

This is the first of a series of detailed papers on string amplitudes with highly excited strings (HES). In the present paper we construct a generating function for string amplitudes with generic HES vertex operators using a fixed-loop…

高能物理 - 理论 · 物理学 2017-03-08 Dimitri P. Skliros , Edmund J. Copeland , Paul M. Saffin