Analytic self-gravitating 4-Baryons, traversable NUT-AdS wormholes, flat space-time multi-Skyrmions at finite volume and a novel transition in the SU(3)-Skyrme model

Ayón–Beato, Eloy; Canfora, Fabrizio; Lagos, Marcela; Oliva, Julio; Vera, Aldo

doi:10.1140/epjc/s10052-020-7926-6

Cited by 36 publications

(41 citation statements)

References 50 publications

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“…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%

“…The authors name this effect the gravitational catalysis of merons [57]. Solutions with higher baryon number have also been considered in the context of four dimensional SU(3)-Skyrme-Einstein theory with cosmological constant [59]. 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.…”

Section: Jhep03(2021)229mentioning

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: Meronsmentioning

confidence: 99%

Section: Jhep03(2021)229mentioning

confidence: 99%

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

Cartwright

Harms

Kaminski

2021

J. High Energ. Phys.

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“…Secondly, it is very helpful to construct time-dependent ansatz for the SU (2)-valued matter field with the property that the energymomentum tensor is time-independent (this idea is the SU (2) generalization of the Bosons star ansatz for a U (1)-charged scalar field: see [39,40] and references therein). Such a generalization has been achieved in [24,25,30,34] and [35].…”

Section: Introductionmentioning

confidence: 96%

“…The main approaches to avoid the no-go scaling argument in [12] are, first of all, to minimally couple the NLSM to gravity and/or to Maxwell theory. Indeed, using the techniques developed in [19][20][21][22][23][24][25][26][27][28][29][30][31][32][33][34][35], exact self-gravitating NLSM solutions with non-trivial topological charge have been found in [36,37] and [38]. Secondly, it is very helpful to construct time-dependent ansatz for the SU (2)-valued matter field with the property that the energymomentum tensor is time-independent (this idea is the SU (2) generalization of the Bosons star ansatz for a U (1)-charged scalar field: see [39,40] and references therein).…”

Section: Introductionmentioning

confidence: 99%

Gravitating superconducting solitons in the (3+1)-dimensional Einstein gauged non-linear $$\sigma $$-model

et al. 2021

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In this paper, we construct the first analytic examples of $$(3+1)$$ ( 3 + 1 ) -dimensional self-gravitating regular cosmic tube solutions which are superconducting, free of curvature singularities and with non-trivial topological charge in the Einstein-SU(2) non-linear $$\sigma $$ σ -model. These gravitating topological solitons at a large distance from the axis look like a (boosted) cosmic string with an angular defect given by the parameters of the theory, and near the axis, the parameters of the solutions can be chosen so that the metric is singularity free and without angular defect. The curvature is concentrated on a tube around the axis. These solutions are similar to the Cohen–Kaplan global string but regular everywhere, and the non-linear $$\sigma $$ σ -model regularizes the gravitating global string in a similar way as a non-Abelian field regularizes the Dirac monopole. Also, these solutions can be promoted to those of the fully coupled Einstein–Maxwell non-linear $$\sigma $$ σ -model in which the non-linear $$\sigma $$ σ -model is minimally coupled both to the U(1) gauge field and to General Relativity. The analysis shows that these solutions behave as superconductors as they carry a persistent current even when the U(1) field vanishes. Such persistent current cannot be continuously deformed to zero as it is tied to the topological charge of the solutions themselves. The peculiar features of the gravitational lensing of these gravitating solitons are shortly discussed.

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“…The gauged Skyrme model [50][51][52][53], which describes the low energy limit of QCD minimally coupled with Maxwell theory at the leading order in the 't Hooft expansion [54][55][56][57][58][59] (for two detailed reviews see [60] and [61]), will be our starting point. Using the methods introduced in [62][63][64][65][66][67][68][69][70][71] and [72] we will construct analytic gauged multi-soliton solutions at finite Baryon density with crystalline structure and high topological charge. These crystals describe ordered arrays of superconducting tubes in which (most of) the topological charge and total energy are concentrated within tube-shaped regions.…”

Section: Introductionmentioning

confidence: 99%

Crystals of superconducting Baryonic tubes in the low energy limit of QCD at finite density

2020

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The low energy limit of QCD admits (crystals of) superconducting Baryonic tubes at finite density. We begin with the Maxwell-gauged Skyrme model in (3 + 1)-dimensions (which is the low energy limit of QCD in the leading order of the large N expansion). We construct an ansatz able to reduce the seven coupled field equations in a sector of high Baryonic charge to just one linear Schrödinger-like equation with an effective potential (which can be computed explicitly) periodic in the two spatial directions orthogonal to the axis of the tubes. The solutions represent ordered arrays of Baryonic superconducting tubes as (most of) the Baryonic charge and total energy is concentrated in the tube-shaped regions. They carry a persistent current (which vanishes outside the tubes) even in the limit of vanishing U(1) gauge field: such a current cannot be deformed continuously to zero as it is tied to the topological charge. Then, we discuss the subleading corrections in the ’t Hooft expansion to the Skyrme model (called usually $$ {\mathcal {L}}_{6}$$L6, $${\mathcal {L}}_{8}$$L8 and so on). Remarkably, the very same ansatz allows to construct analytically these crystals of superconducting Baryonic tubes at any order in the ’t Hooft expansion. Thus, no matter how many subleading terms are included, these ordered arrays of gauged solitons are described by the same ansatz and keep their main properties manifesting a universal character. On the other hand, the subleading terms can affect the stability properties of the configurations setting lower bounds on the allowed Baryon density.

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Analytic self-gravitating 4-Baryons, traversable NUT-AdS wormholes, flat space-time multi-Skyrmions at finite volume and a novel transition in the SU(3)-Skyrme model

Cited by 36 publications

References 50 publications

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

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

Gravitating superconducting solitons in the (3+1)-dimensional Einstein gauged non-linear $$\sigma $$-model

Crystals of superconducting Baryonic tubes in the low energy limit of QCD at finite density

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