Meronic Einstein-Yang-Mills black hole in 5D and gravitational spin from isospin effect

Canfora, Fabrizio; Gomberoff, Andrés; Oh, S. H.; Rojas, Francisco; Salgado-Rebolledo, Patricio

doi:10.1007/jhep06(2019)081

Cited by 23 publications

(35 citation statements)

References 91 publications

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“…There the authors presented the first analytic, self-gravitating Skyrmions with baryon charge 4 in four dimensions and find a novel transition at nonzero baryon charge between embedded and non-embedded gauge field configurations. The topological solution presented in our work bears a resemblance to those constructed in [58]. There the authors work with an Einstein-Yang-Mills model with non-zero cosmological constant and construct a black hole solution with topological charge 1 and discuss its thermodynamics.…”

Section: Jhep03(2021)229mentioning

confidence: 54%

“…As a result of the work of the authors in [52,[56][57][58][59] the authors of [32] have shown that the Einstein-Skyrme theory (2.1) has the same equations of motion as a particular Einstein-Yang-Mills (EYM) theory. The latter contains a massive non-Abelian gauge field with mass m in a pure gauge configuration A µ = λU −1 ∂ µ U , with the SU(2) group element U , and the real-valued parameter λ = 0, 1.…”

Section: Meronsmentioning

confidence: 99%

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Topological or rotational non-Abelian gauge fields from Einstein-Skyrme holography

Cartwright

Harms

Kaminski

2021

J. High Energ. Phys.

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We report analytically known states at non-zero temperature which may serve as a powerful tool to reveal common topological and thermodynamic properties of systems ranging from the QCD phase diagram to topological phase transitions in condensed matter materials. In the holographically dual gravity theory, these are analytic solutions to a five-dimensional non-linear-sigma (Skyrme) model dynamically coupled to Einstein gravity. This theory is shown to be holographically dual to $$ \mathcal{N} $$ N = 4 Super-Yang-Mills theory coupled to an SU(2)-current. All solutions are fully backreacted asymptotically Anti-de Sitter (AdS) black branes or holes. One family of global AdS black hole solutions contains non-Abelian gauge field configurations with positive integer Chern numbers and finite energy density. Larger Chern numbers increase the Hawking-Page transition temperature. In the holographically dual field theory this indicates a significant effect on the deconfinement phase transition. Black holes with one Hawking temperature can have distinct Chern numbers, potentially enabling topological transitions. A second family of analytic solutions, rotating black branes, is also provided. These rotating solutions induce states with propagating charge density waves in the dual field theory. We compute the Hawking temperature, entropy density, angular velocity and free energy for these black holes/branes. These correspond to thermodynamic data in the dual field theory. For these states the energy-momentum tensor, (non-)conserved current, and topological charge are interpreted.

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Section: Jhep03(2021)229mentioning

confidence: 54%

Section: Meronsmentioning

confidence: 99%

Topological or rotational non-Abelian gauge fields from Einstein-Skyrme holography

Cartwright

Harms

Kaminski

2021

J. High Energ. Phys.

View full text Add to dashboard Cite

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“…However, on flat spaces, merons cannot be observed directly (as they have infinite Euclidean action/energy). When Yang-Mills theory is coupled with General Relativity (GR), it has been possible to construct analytic examples of merons-black holes [33][34][35][36]. Thus, in a sense, meron-black holes can be observed directly (some peculiar effects have been discussed in [36]), but the meron singularity is still there (although hidden behind the horizon).…”

Section: Introductionmentioning

confidence: 99%

“…When Yang-Mills theory is coupled with General Relativity (GR), it has been possible to construct analytic examples of merons-black holes [33][34][35][36]. Thus, in a sense, meron-black holes can be observed directly (some peculiar effects have been discussed in [36]), but the meron singularity is still there (although hidden behind the horizon). Consequently, the examples in [33][34][35][36] are not gravitating solitons but rather non-Abelian black holes.…”

Section: Introductionmentioning

confidence: 99%

“…Thus, in a sense, meron-black holes can be observed directly (some peculiar effects have been discussed in [36]), but the meron singularity is still there (although hidden behind the horizon). Consequently, the examples in [33][34][35][36] are not gravitating solitons but rather non-Abelian black holes. The very important question is: can we construct analytic examples of gravitating merons in which the typical singularity of the merons disappears completely?…”

Section: Introductionmentioning

confidence: 99%

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Analytic non-Abelian gravitating solitons in the Einstein–Yang–Mills–Higgs theory and transitions between them

Canfora

2021

Eur. Phys. J. C

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Two analytic examples of globally regular non-Abelian gravitating solitons in the Einstein–Yang–Mills–Higgs theory in (3 + 1)-dimensions are presented. In both cases, the space-time geometries are of the Nariai type and the Yang–Mills field is completely regular and of meron type (namely, proportional to a pure gauge). However, while in the first family (type I) $$X_{0} = 1/2$$ X 0 = 1 / 2 (as in all the known examples of merons available so far) and the Higgs field is trivial, in the second family (type II) $$X_{0} = 1/2$$ X 0 = 1 / 2 is not 1/2 and the Higgs field is non-trivial. We compare the entropies of type I and type II families determining when type II solitons are favored over type I solitons: the VEV of the Higgs field plays a crucial role in determining the phases of the system. The Klein–Gordon equation for test scalar fields coupled to the non-Abelian fields of the gravitating solitons can be written as the sum of a two-dimensional D’Alembert operator plus a Hamiltonian which has been proposed in the literature to describe the four-dimensional Quantum Hall Effect (QHE): the difference between type I and type II solutions manifests itself in a difference between the degeneracies of the corresponding energy levels.

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New BPS solitons in $$ \mathcal{N} $$ = 4 gauged supergravity and black holes in Einstein-Yang-Mills-dilaton theory

Canfora

Oliva

Oyarzo

2022

J. High Energ. Phys.

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We start by revisiting the problem of finding BPS solutions in $$ \mathcal{N} $$ N = 4 SU (2) × SU (2) gauged supergravity. We report on a new supersymmetric solution in the Abelian sector of the theory, which describes a soliton that is regular everywhere. The solution is 1/4 BPS and can be obtained from a double analytic continuation of a planar solution found by Klemm in hep-th/9810090. Also in the Abelian sector, but now for a spherically symmetric ansatz we find a new solution whose supersymmetric nature was overlooked in the previous literature. Then, we move to the non-Abelian sector of the theory by considering the meron ansatz for SU (2). We construct electric-meronic and double-meron solutions and show that the latter also leads to 1/4 BPS configurations that are singular and acquire an extra conformal Killing vector. We then move beyond the supergravity embedding of this theory by modifying the self-interaction of the scalar, but still within the same meron ansatz for a single gauge field, which is dilatonically coupled with the scalar. We construct exact black holes for two families of self-interactions that admit topologically Lifshitz black holes, as well as other black holes with interesting causal structures and asymptotic behavior. We analyze some thermal properties of these spacetimes.

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Meronic Einstein-Yang-Mills black hole in 5D and gravitational spin from isospin effect

Cited by 23 publications

References 91 publications

Topological or rotational non-Abelian gauge fields from Einstein-Skyrme holography

Topological or rotational non-Abelian gauge fields from Einstein-Skyrme holography

Analytic non-Abelian gravitating solitons in the Einstein–Yang–Mills–Higgs theory and transitions between them

New BPS solitons in $$ \mathcal{N} $$ = 4 gauged supergravity and black holes in Einstein-Yang-Mills-dilaton theory

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