Black hole solutions in Chern-Simons AdS supergravity

Giribet, Gastón; Merino, Nelson; Mišković, Olivera; Zanelli, Jorge

doi:10.1007/jhep08(2014)083

Cited by 14 publications

(26 citation statements)

References 58 publications

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“…The topological action we shall be dealing with can be written as a Chern-Simons action in 5 dimensions [5]:…”

Section: D Topological Actionmentioning

confidence: 99%

“…(33) and (35) we can reach a differential equation for each chiral component of ψ. Using the definitions ψ L = 1−γ 5 2 ψ and ψ R = 1+γ 5 2 ψ (the splitting the Dirac matrices in the left and right components), redefining the physical fermionic field as ψ| ph = √ µψ and the physical vielbein e a | ph = µe a , where µ is a parameter with dimension [µ] = mass 1 , we find the following equations:…”

Section: Fermionic Solutionsmentioning

confidence: 99%

See 1 more Smart Citation

On a five-dimensional Chern–Simons AdS supergravity without gravitino

Gomes

Helayël-Neto

2018

Physics Letters B

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Based on recent discussions on the so-called unconventional supersymmetry, we analyze a class of solutions of a 5D Chern-Simons AdS-N -SUGRA formulation without gravitino fields. With a Randall-Sundrum-type ansatz, we exploit the properties of Chern-Simons theories to find solutions to the fermionic field equations in a particular dimensional reduction context. We show that this specific dimensional reduction yields a non-trivial equation of motion for the fermionic field. We actually get a non-linear equation of motion for the fermionic fields, typical of models where torsion is present. This fermionic equation describes massive fermions with specific couplings with the bosonic supersymmetric degrees of freedom and we show that, in some specific limits, we can infer about the localization of the fermions' chirality components by means of the particular function that comes out to the dimensional reduction scheme.

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“…The topological action we shall be dealing with can be written as a Chern-Simons action in 5 dimensions [5]:…”

Section: D Topological Actionmentioning

confidence: 99%

Section: Fermionic Solutionsmentioning

confidence: 99%

On a five-dimensional Chern–Simons AdS supergravity without gravitino

Gomes

Helayël-Neto

2018

Physics Letters B

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“…With torsion, or when the parameters take the critical values, the dynamical content of Lovelock-Lanczos gravity might change. Solutions in these cases are known as well, for example the ones with Riemann-Cartan geometry in five dimensional gravity [30,31] and supergravity [32].…”

Section: Action and Equations Of Motionmentioning

confidence: 99%

Holography in Lovelock Chern-Simons AdS gravity

2017

Self Cite

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We analyse holographic field theory dual to Lovelock Chern-Simons AdS Gravity in higher dimensions using first order formalism. We first find asymptotic symmetries in the AdS sector showing that they consist of local translations, local Lorentz rotations, dilatations and non-Abelian gauge transformations. Then, we compute 1-point functions of energy-momentum and spin currents in a dual conformal field theory and write Ward identities. We find that the holographic theory possesses Weyl anomaly and also breaks non-Abelian gauge symmetry at the quantum level. IntroductionThe AdS/CFT correspondence [1] relates the fields in (d + 1)-dimensional asymptotically anti-de Sitter (AAdS) space and correlators in a d-dimensional Conformal Field Theory (CFT). These two theories are dual in the asymptotic sector of gravity, such that the weak coupling regime of one is related to the strong coupling regime of another. For a weak gravitational coupling, the bulk theory is well-described by its semiclassical approximation, leading to the form of the duality most often used.Since its discovery, the correspondence tools have been applied to many strongly coupled systems, giving rise to new insights into their dynamics, for example in hydrodynamics [2] and condensed matter systems such as superconductors [3].On the other hand, much effort has been invested in analysing the duality in semiclassical approximation of a bulk theory, with twofold purpose. First, it enables to test the conjecture itself. Second, it helps us to gain the knowledge about strongly coupled systems which are non-perturbative and not very well understood. However, most of this investigation deals with Riemannian geometry of bulk spacetime, see for example [3,4,5,6,7,8], while a more general structure based on Riemann-Cartan geometry, where both torsion and curvature determine gravitational dynamics, is mostly underinvestigated. One of the first * Email addresses: olivera.miskovic@pucv.cl, cbranislav@ipb.ac.rs, dsimic@ipb.ac.rs 1 studies of Riemann-Cartan holography used first order formalism to obtain a holographic dual of Chern-Simons AdS gravity in five dimensions [9]. After that, in three dimensions, holographic dual to the Mielke-Baekler model was analysed in [10], and to the most general parity-preserving three-dimensional gravity with propagating torsion in [11]. The physical interpretation of torsional degrees of freedom as carriers of a non-trivial gravitational magnetic field in 4D Einstein-Cartan gravity was discussed in [12].Studying holographic duals of gravity with torsion has many benefits. Since its setup is more general, it also contains the results of torsion-free gravity. One of the very important features is that treating vielbein and spin connection as independent dynamical variables simplifies calculations to great extent. In Ref.[11], it was shown that for three dimensional bulk gravity conservation laws of the boundary theory take the same form in RiemannCartan and Riemannian theory when the boundary torsion is set to zero. Thus, i...

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“…Besides, this property is not only intrinsic of the Riemann sector, but also happens when torsional degrees of freedom are considered. This is the case when one looks for charged black hole solutions in CS supergravity [17].…”

Section: Introductionmentioning

confidence: 99%

“…Since the original Lovelock terms will arise in the BI type action through R ab,(0) and R ab, (1) , it is straightforward to know from (17) in which sector every Lovelock term will appear. The following table clarifies this point: As RRR = ǫ abcdef R ab R cd R ef corresponds to a boundary term, the minimal algebra which allows to separate each Lovelock term in different sectors of the BI type action corresponds to the C 7 algebra.…”

mentioning

confidence: 99%