Gravitating BPS monopoles in all
                    <i>d</i>
                    = 4
                    <i>p</i>
                    spacetime dimensions

Breitenlohner, P.; Tchrakian, D. H.

doi:10.1088/0264-9381/26/14/145008

Cited by 4 publications

(4 citation statements)

References 31 publications

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“…The resulting set of six ordinary differential equations 10 is solved with suitable boundary conditions which result from (16), (17), (19), and (22). The numerics employs a collocation method for boundary-value ordinary differential equations equipped with an adaptive mesh selection procedure [33].…”

Section: Numerical Resultsmentioning

confidence: 99%

“…Also, the Eq. (15) has been used to construct the asymptotic expansions (16), (17), (19) , and (22). The properties of the solutions depend on the input parameters, but it is rather difficult to find a general pattern.…”

Section: Numerical Resultsmentioning

confidence: 99%

“…The asymptotics of the SUð2Þ Â Uð1Þ solutions can easily be read from the general relations (16), (19), and (22). At infinity, the finite mass solutions have ¼ AE=2 in (22), with the gauge potentials…”

Section: Particular Casesmentioning

confidence: 99%

“…This can be understood heuristically by noting that the Derrick scaling requirement is not fulfilled in spacetimes for dimension five and higher. To our knowledge, the only mechanism for regularizing the mass of the d > 4 asymptotically flat or (A)dS non-Abelian gravitating solutions, proposed so far in the literature, is to include higher order terms in the YM hierarchy [5,14,15] and the corresponding YM-Higgs terms [16]. 2 These are the YM counterparts of the Lovelock gravities (or the hierarchy of Einstein systems), and occur in the low energy effective action of string theory [18,19].…”

Section: Introductionmentioning

confidence: 99%

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AdS5solutions in Einstein–Yang-Mills–Chern-Simons theory

2010

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We investigate static, spherically symmetric solutions of an Einstein-Yang-Mills-Chern-Simons system with negative cosmological constant, for an SOð6Þ gauge group. For a particular value of the ChernSimons coefficient, this model can be viewed as a truncation of the five-dimensional maximal gauged supergravity and we expect that the basic properties of the solutions in the full model to persist in this truncation. Both globally regular, particlelike solutions and black holes are considered. In contrast with the Abelian case, the contribution of the Chern-Simons term is nontrivial already in the static, spherically symmetric limit. We find two types of solutions: the generic configurations whose magnetic gauge field does not vanish fast enough at infinity (although the spacetime is asymptotically AdS), whose mass function is divergent, and the special configurations, whose existence depends on the Chern-Simons term, which are endowed with finite mass. In the case of the generic configurations, we argue that the divergent mass implies a nonvanishing trace for the stress tensor of the dual d ¼ 4 theory.

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Section: Numerical Resultsmentioning

confidence: 99%

Section: Numerical Resultsmentioning

confidence: 99%

Section: Particular Casesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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AdS5solutions in Einstein–Yang-Mills–Chern-Simons theory

2010

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Solution for static, spherically symmetric Lovelock gravity coupled with Yang–Mills hierarchy

Mazharimousavi

Halilsoy

2010

Physics Letters B

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The hierarchies of both Lovelock gravity and power-Yang-Mills field are combined through gravity in a single theory. In static, spherically symmetric ansatz exact particular integrals are obtained in all higher dimensions. The advantage of such hierarchies is the possibility of choosing coefficients, which are arbitrary otherwise, to cast solutions into tractable forms. To our knowledge the solutions constitute the most general spherically symmetric metrics that incorporate complexities both of Lovelock and YangMills hierarchies within the common context. A large portion of our general class of solutions concerns and addresses to black holes for which specific examples are given. Thermodynamical behaviors of the system is briefly discussed in particular dimensions.

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Notes on Yang–Mills–Higgs monopoles and dyons on {\bb R}^{D}, and Chern–Simons–Higgs solitons on {\bb R}^{D-2}: dimensional reduction of Chern–Pontryagin densities

Tchrakian¹

2011

J. Phys. A: Math. Theor.

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We review work on construction of Monopoles in higher dimensions. These are solutions to a particular class of models descending from Yang-Mills systems on even dimensional bulk, with Spheres as codimensions. The topological lower bounds on the Yang-Mills action translate to Bogomol'nyi lower bounds on the residual Yang-Mills-Higgs systems. Mostly, consideration is restricted to 8 dimensional bulk systems, but extension to the arbitrary case follows systematically. After presenting the monopoles, the corresponding dyons are also constructed. Finally, new Chern-Simons densities expressed in terms of Yang-Mills and Higgs fields are presented. These are defined in all dimensions, including in even dimensional spacetimes. They are constructed by subjecting the dimensionally reduced Chern-Pontryagin densites to further descent by two steps.Most of the results covered in these notes have appeared in numerous publications, and the aim here has been to collect all of these together in a coherent framework. Work on various aspects of monopoles in higher dimensions, inclding generalisations of three dimension, were carried out in collaboration with Amithabha Related work on vortices of generalised Abelian Higgs models in two dimensions, and their gauge decoupled versions, was carried out in collaboration with Kieran Arthur, Yves Brihaye, Jurgen Burzlaff and Harald Müller-Kirsten. Throughout, discussions with Lochlainn O'Raifeartaigh were invaluable. Thanks are due to Neil Lambert, Valery Rubakov and Paul Townsend for helpful comments. Special thanks are due to Eugen Radu for help and discussions throughout the preparation of these notes. The Yang-Mills hierarchyWe seek finite energy solutions of Yang-Mills-Higgs (YMH) systems in arbitrary spacelike dimensions IR D . The construction of instantons of Yang-Mills (YM) instantons and YMH and monopoles in higher dimensions was first suggested in [12]. Yang-Mills-Higgs systems can be derived from the dimensional descent of a suitable member of the Yang-Mills (YM) hierarchy on the Euclidean space IR D × K N such that K N is a compact coset space. Here, D + N is even since the YM hierarchy introduced in [8], is defined in even dimensions since Chern-Pontryagin densities are defined in even dimensions only.The YM hierarchy of SO(4p) gauge fields in the chiral (Dirac matrix) representations consisting only of the p-YM term in (2.2) was introduced in [8] to construct selfdual instantons in 4p dimensions. (The selfduality equation for the p = 2 case was solved indepenently in [13], whose authors subsequently stated in their Erratum, that this solution was the instanton of the p = 2 member of the hierarchy introduced earlier in [8].) The instantons of the generic system consisting of the sum of many terms (2.2) with different p, while stable, are not selfdual and cannot be evaluated in closed form and are constructed numerically [14]. Restricting ourselves here to finite action (instanton) solutions only, it is worth mentioning an alternative hierarchy which supports selfdual instanton...

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Gravitating BPS monopoles in all d = 4 p spacetime dimensions

Cited by 4 publications

References 31 publications

AdS5solutions in Einstein–Yang-Mills–Chern-Simons theory

AdS5solutions in Einstein–Yang-Mills–Chern-Simons theory

Solution for static, spherically symmetric Lovelock gravity coupled with Yang–Mills hierarchy

Notes on Yang–Mills–Higgs monopoles and dyons on {\bb R}^{D}, and Chern–Simons–Higgs solitons on {\bb R}^{D-2}: dimensional reduction of Chern–Pontryagin densities

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