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We study new cohomologies for the BPS operators of the $\mathcal{N}=4$ Yang-Mills theory with $SU(3)$ and $SU(4)$ gauge groups, to better understand the black hole microstates. We first study the index of these black hole operators and…

High Energy Physics - Theory · Physics 2024-10-01 Jaehyeok Choi , Sunjin Choi , Seok Kim , Jehyun Lee , Siyul Lee

We construct non-BPS regular and black hole solutions of N=4 SU(N) supersymmetric Yang-Mills theory coupled to Einstein gravity. Our numerical studies reveal a number of interesting phenomena when the gravitational constant…

High Energy Physics - Theory · Physics 2010-02-03 Theodora Ioannidou , Burkhard Kleihaus

We study the cohomology of local BPS operators in $\mathcal{N}=4$ Yang-Mills theory. The finite $N$ cohomologies consist of the graviton part (subject to the stringy exclusion principle) and the rest which may describe black hole…

High Energy Physics - Theory · Physics 2025-02-04 Sunjin Choi , Seok Kim , Eunwoo Lee , Siyul Lee , Jaemo Park

We formulate the problem of counting 1/16 BPS states of N = 4 Yang Mills theory as the enumeration of the local cohomology of an operator acting on holomorphic fields on C^2. We study aspects of the enumeration of this cohomology at finite…

High Energy Physics - Theory · Physics 2009-09-29 Lars Grant , Pietro A. Grassi , Seok Kim , Shiraz Minwalla

The BPS spectrum of AdS/CFT exhibits multi-gravitons at low energies, while having black hole states at higher energies. This can be studied concretely in AdS$_5$/CFT$_4$ in terms of classical cohomologies, even in the quantum regimes at…

High Energy Physics - Theory · Physics 2024-09-16 Sunjin Choi , Seok Kim , Eunwoo Lee , Jaemo Park

We construct infinitely many new $\frac{1}{16}$-BPS cohomologies of the 4d maximal super-Yang-Mills theory and interpret them as a black hole wrapped by dual giant graviton hairs. Since the black hole inside a dual giant feels the RR 5-form…

High Energy Physics - Theory · Physics 2024-12-13 Robert de Mello Koch , Minkyoo Kim , Seok Kim , Jehyun Lee , Siyul Lee

Building on the recent discovery of the first candidate black hole operator in $\mathcal{N}=4$ super-Yang-Mills, we explore the near-supersymmetric aspects of the theory that capture lightly excited, highly stringy black holes. We extend…

High Energy Physics - Theory · Physics 2024-04-24 Chi-Ming Chang , Li Feng , Ying-Hsuan Lin , Yi-Xiao Tao

An often fruitful route to study quantum gravity is the determination and study of quantum mechanical models--that is, models with finite degrees of freedom--that capture the dynamics of a black hole's microstates. An example of such a…

High Energy Physics - Theory · Physics 2024-03-13 Rishi Mouland

The superconformal index of the $\mathcal{N}=4$ SU(N) supersymmetric Yang-Mills theory counts the 1/16-BPS states in this theory, and has been used via the AdS/CFT correspondence to count black hole microstates of 1/16-BPS black holes. On…

High Energy Physics - Theory · Physics 2022-09-09 Ofer Aharony , Francesco Benini , Ohad Mamroud , Elisa Milan

The superconformal index of ${\cal N}=4$ supersymmetric Yang-Mills theory with gauge group $\mathrm{U}(N)$ has provided powerful insights into the entropy of supersymmetric black holes in AdS$_5\times S^5$, including some sub-leading…

High Energy Physics - Theory · Physics 2025-02-13 Evan Deddo , Leopoldo A. Pando Zayas , Wenjie Zhou

We consider the combined Yang Mills-Dilaton-Gravity system in the presence of a Gauss-Bonnet term as it appears in the $4D$ Effective Superstring Action. We give analytical arguments and demonstrate numerically the existence of black hole…

High Energy Physics - Theory · Physics 2014-11-18 P. Kanti , K. Tamvakis

The quantum mechanics of $N$ slowly-moving BPS black holes in five dimensions is considered. A divergent continuum of states describing arbitrarily closely bound black holes with arbitrarily small excitation energies is found. A…

High Energy Physics - Theory · Physics 2009-10-31 Ruth Britto-Pacumio , Andrew Strominger , Anastasia Volovich

Microstate geometries are proposed microstates of black holes which can be described within supergravity. Even though their number may not reproduce the full entropy of black holes with finite-sized horizons, they still offer a glimpse into…

High Energy Physics - Theory · Physics 2024-05-10 Nejc Čeplak , Shaun D. Hampton

Quantum black holes have been studied extensively in quantum gravity and string theory, using various semiclassical or background dependent approaches. We explore the possibility of studying black holes in the full non-perturbative quantum…

General Relativity and Quantum Cosmology · Physics 2010-02-22 Kirill Krasnov , Carlo Rovelli

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

The first black hole solutions of the SU(N) Bach-Yang-Mills equations are presented. Static generalizations breaking spherical symmetry are also constructed. These constitute the first examples in the literature of C-metrics sourced by a…

High Energy Physics - Theory · Physics 2025-06-11 Daniel Flores-Alfonso

We study the state-counting problem that arises in the SU(2) black hole entropy calculation in loop quantum gravity. More precisely, we compute the leading term and the logarithmic correction of both the spherically symmetric and the…

General Relativity and Quantum Cosmology · Physics 2012-08-15 Jonathan Engle , Karim Noui , Alejandro Perez , Daniele Pranzetti

It has recently been proposed that a class of supersymmetric higher-derivative interactions in N=2 supergravity may encapsulate an infinite number of finite size corrections to the microscopic entropy of certain supersymmetric black holes.…

High Energy Physics - Theory · Physics 2011-05-05 Atish Dabholkar , Frederik Denef , Gregory W. Moore , Boris Pioline

In this lecture I review recent results on the use of Solvable Lie Algebras as an efficient description of the scalar field sector of supergravities in relation with their non perturbative structure encoded in the U-duality group. I also…

High Energy Physics - Theory · Physics 2007-05-23 Pietro Fré

In these lectures we explain the concept of supergravity p-branes and BPS black holes. Introducing an audience of general relativists to all the necessary geometry related with extended supergravity (special geometry, symplectic embeddings…

High Energy Physics - Theory · Physics 2007-05-23 Riccardo D'Auria , Pietro Fre'
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