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Generalized Donaldson-Thomas invariants defined by Joyce and Song arXiv:0810.5645 are rational numbers which `count' both $\tau$-stable and $\tau$-semistable coherent sheaves with Chern character $\alpha$ on a Calabi-Yau 3-fold $X$, where…

Algebraic Geometry · Mathematics 2014-03-12 Vittoria Bussi

We extend our earlier work on the linearised perturbations of static black holes in Einstein-Maxwell-Dilaton (EMD) theories to the case where the black holes are solutions in an enlarged theory including also an axion. We study the…

High Energy Physics - Theory · Physics 2025-12-03 C. N. Pope , D. O. Rohrer , B. F. Whiting

We use the entropy function formalism introduced by A. Sen to obtain the entropy of $AdS_{2}\times S^{d-2}$ extremal and static black holes in four and five dimensions, with higher derivative terms of a general type. Starting from a…

High Energy Physics - Theory · Physics 2009-09-28 A. Ulacia Rey

The Einstein-Maxwell-dilaton model exhibits a first-order phase transition curve that terminates at a holographic critical endpoint, offering intriguing insights into the phase diagram of the dual system living on the boundary. However, the…

High Energy Physics - Theory · Physics 2025-02-11 Hong Guo , Xiao-Mei Kuang , Wei-Liang Qian

We define and study refined Gopakumar-Vafa invariants of contractible curves in complex algebraic 3-folds, alongside the cohomological Donaldson--Thomas theory of finite-dimensional Jacobi algebras. These Gopakumar-Vafa invariants can be…

Algebraic Geometry · Mathematics 2023-10-12 Ben Davison

We examine five dimensional extreme black holes with three charges in the matrix model. We build configurations of the 5+1 super Yang-Mills theory which correspond to black holes with transverse momentum charge. We calculate their mass and…

High Energy Physics - Theory · Physics 2009-10-30 Edi Halyo

We extend the recent D=5 results of Dias, Horowitz and Santos by finding asymptotically AdS rotating black hole and boson star solutions with scalar hair in arbitrary odd spacetime dimension. Both the black holes and the boson stars are…

High Energy Physics - Theory · Physics 2012-02-16 Sean Stotyn , Miok Park , Paul L. McGrath , Robert B. Mann

We present a systematic investigation of the thermodynamic topology for a broad class of asymptotically charged Anti-de Sitter (AdS) black holes in Einstein-Maxwell-Dilaton (EMD) theories, examining how scalar coupling parameters and…

High Energy Physics - Theory · Physics 2025-09-09 H. Babaei-Aghbolagh , Habib Esmaili , Song He , Hosein Mohammadzadeh

We show that the general framework proposed in arXiv:1410.0581 for the study of asymptotically flat vacuum black objects with $k+1$ equal magnitude angular momenta in $D\geq 5$ spacetime dimensions (with $0\leq k\leq \big[\frac{D-5}{2}…

General Relativity and Quantum Cosmology · Physics 2016-05-31 Burkhard Kleihaus , Jutta Kunz , Eugen Radu

In this paper, we consider the solutions of Einstein gravity in the presence of a generalized Maxwell theory, namely power Maxwell invariant. First, we investigate the analogy of nonlinear charged black hole solutions with the Van der Waals…

High Energy Physics - Theory · Physics 2013-11-12 S. H. Hendi , M. H. Vahidinia

We study the dynamics of the five-parameter quadratic family of volume-preserving diffeomorphisms of R^3. This family is the unfolded normal form for a bifurcation of a fixed point with a triple-one multiplier and also is the general form…

Chaotic Dynamics · Physics 2013-06-25 Holger R. Dullin , James D. Meiss

We propose a new formula for the entropy of a dynamical black hole$-$valid to leading order for perturbations off of a stationary black hole background$-$in an arbitrary classical diffeomorphism covariant Lagrangian theory of gravity in $n$…

High Energy Physics - Theory · Physics 2024-04-02 Stefan Hollands , Robert M. Wald , Victor G. Zhang

We revisit the 4D generalized black hole geometries, obtained by us [1], with a renewed interest, to unfold some aspects of effective gravity in a noncommutative D3-brane formalism. In particular, we argue for the existence of extra…

High Energy Physics - Theory · Physics 2008-11-26 Supriya Kar , Sumit Majumdar

Using the inverse dimensional expansion method we study the elastic instability of black rings found recently in numerical analysis of fully nonlinear dynamical evolutions. In our analysis we should perform 1/D^1/2 expansions, not usual 1/D…

High Energy Physics - Theory · Physics 2016-05-27 Kentaro Tanabe

Background: To describe shape fluctuations associated with large-amplitude collective motion in the quadrupole degrees of freedom, the five-dimensional collective Hamiltonian (5DCH) has been widely used. The inertial functions in the 5DCH…

Nuclear Theory · Physics 2024-06-17 Kouhei Washiyama , Nobuo Hinohara , Takashi Nakatsukasa

We classify 2-center extremal black hole charge configurations through duality-invariant homogeneous polynomials, which are the generalization of the unique invariant quartic polynomial for single-center black holes based on homogeneous…

High Energy Physics - Theory · Physics 2015-05-20 Sergio Ferrara , Alessio Marrani , Emanuele Orazi , Raymond Stora , Armen Yeranyan

We show that $\kappa$-Poincar\'e invariant gauge theories on $\kappa$-Minkowski space with physically acceptable commutative (low energy) limit must be 5-d. The gauge invariance requirement of the action fixes the dimension of the…

High Energy Physics - Theory · Physics 2021-04-06 Philippe Mathieu , Jean-Christophe Wallet

We study extremal 5- and 4-dimensional black hole solutions of the Heterotic Superstring effective action at first order in $\alpha'$ with, respectively, 3 and 4 charges of arbitrary signs. For a particular choice of the relative signs of…

High Energy Physics - Theory · Physics 2022-04-13 Pablo A. Cano , Tomás Ortín , Alejandro Ruipérez , Matteo Zatti

Hairy black holes and gravitational solitons in three dimensions for the new massive gravity theory proposed by Bergshoeff, Hohm and Townsend (BHT) are considered at the special case when there is a unique maximally symmetric solution.…

High Energy Physics - Theory · Physics 2011-07-28 Alfredo Perez , David Tempo , Ricardo Troncoso

We study quantum corrections in the gravitational path integral around nearly $1/16$-BPS black holes in asymptotically $AdS_5 \times S^5$ space, dual to heavy states in 4D $\mathcal{N}=4$ super Yang-Mills. The analysis provides a…

High Energy Physics - Theory · Physics 2022-03-04 Jan Boruch , Matthew T. Heydeman , Luca V. Iliesiu , Gustavo J. Turiaci
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