R-charged black holes and Holographic optics

Phukon, Prabwal; Sarkar, Tapobrata

doi:10.1007/jhep09(2013)102

Cited by 7 publications

(9 citation statements)

References 40 publications

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“…In order to complete our analysis, in figs. (15) and (16) we have shown the variation of n DL with ω for different temperatures. In both these figures red, green, blue and brown curves correspond to T /T c = 0.8, 0.6, 0.4 and 0.2 respectively.…”

Section: −Iω 4πtmentioning

confidence: 93%

“…These authors showed that the boundary theory corresponding to an Einstein-Maxwell bulk theory at finite chemical potential and temperature in the five dimensional AdS black hole background have n DL < 0 and shows negative refraction in the low frequency regime. It was then subsequently investigated in RN-AdS black hole in four dimensions [14], Rcharged black holes in different dimensions [15] and D7 flavor brane systems [16]. Identical results of negative refraction in low frequency were found in all cases.…”

Section: Introductionmentioning

confidence: 94%

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Generalized superconductors and holographic optics. Part II

Mahapatra

2015

J. High Energ. Phys.

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Using linear response theory, we analyze the electromagnetic response functions of generalized holographic superconductors, in AdS-Schwarzschild and single Rcharged black hole backgrounds in four dimensions. By introducing momentum dependent vector mode perturbations, the response functions for these systems are studied numerically, including the effects of backreaction. This complements and completes the probe limit analysis for these backgrounds initiated in our previous work (arXiv:1305.6273). Our numerical analysis indicates a negative Depine-Lakhtakia index for both the backgrounds studied, at low enough frequencies. The dependence of the response functions on the backreaction parameter and the model parameters are established and analyzed with respect to similar backgrounds in five dimensions.

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Section: −Iω 4πtmentioning

confidence: 93%

Section: Introductionmentioning

confidence: 94%

Generalized superconductors and holographic optics. Part II

Mahapatra

2015

J. High Energ. Phys.

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“…which are proportional to the Fourier transforms of the quantities (40). This replacement of variables leads to the following set of perturbation equations:…”

Section: Equations For Tetrad-invariant Scalarsmentioning

confidence: 99%

“…The perturbations of static charged anti-de Sitter black holes have been the focus of great interest in the last years, especially due to their applications to holographic condensed matter systems (see refs. [33][34][35][36][37][38][39][40][41][42] for a sample). In a similar way, rotating uncharged black holes (either in asymptotically flat or AdS spacetimes) have attracted a lot of attention in connection with the Kerr/CFT correspondence [43][44][45][46][47] (see also [48] and references therein).…”

Section: Introductionmentioning

confidence: 99%

Separable wave equations for gravitoelectromagnetic perturbations of rotating charged black strings

Miranda¹,

Morgan²,

Kandus³

et al. 2015

Class. Quantum Grav.

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Abstract.Rotating charged black strings are exact solutions of four-dimensional EinsteinMaxwell equations with a negative cosmological constant and a non-trivial spacetime topology. According to the AdS/CFT correspondence, these black strings are dual to rotating thermal states of a strongly interacting quantum field theory with nonzero chemical potential that lives in a cylinder. The dynamics of linear fluctuations in the dual field theory can be studied from the perturbation equations for classical fields in a black-string spacetime. With this motivation in mind, we develop here a completely gauge and tetrad invariant perturbation approach to deal with the gravitoelectromagnetic fluctuations of rotating charged black strings in the presence of sources. As usual, for any charged black hole, a perturbation in the background electromagnetic field induces a metric perturbation and vice versa. In spite of this coupling and the non-vanishing angular momentum, we show that linearization of equations of the Newman-Penrose formalism leads to four separated second-order complex equations for suitable combinations of the spin coefficients, the Weyl and the Maxwell scalars. Then, we generalize the Chandrasekhar transformation theory by the inclusion of sources and apply it to reduce the perturbation problem to four decoupled inhomogeneous wave equations -a pair for each sector of perturbations. The radial part of such wave equations can be put into Schrödinger-like forms after Fourier transforming them with respect to time. We find that the resulting effective potentials form two pairs of supersymmetric partner potentials and, as a consequence, the fundamental variables of one perturbation sector are related to the variables of the other sector. The relevance of such a symmetry in connection to the AdS/CFT correspondence is discussed, and future applications of the pertubation theory developed here are outlined.

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“…The former implies that the electromagnetic energy flux and the phase velocity of an electromagnetic wave through the medium propagate in opposite directions [6,[12][13][14][15][16][17][18][19][20][21][22]; the latter means that, even if isotropic, a medium supports multiple electromagnetic waves with the same frequency but different wave-vectors [7][8][9][10][11]. Following these results, various authors investigated these topics in a wide variety of different setups, see for example [26][27][28][29][30][31][32][33][34][35][36]. In particular [37] provides an analysis of the actual signature of the abovementioned phenomena in condensed matter systems and it proposes suitable experiments to measure such effects.…”

Section: Jhep11(2014)153mentioning

confidence: 99%

Electromagnetic response of strongly coupled plasmas

Mezzalira

Musso

2014

J. High Energ. Phys.

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We present a thorough analysis of the electromagnetic response of strongly coupled neutral plasmas described by the gauge/gravity correspondence. The coupling of the external electromagnetic field with the tower of quasi-normal modes of the plasmas supports the presence of various electromagnetic modes with different properties. Among them we underline the existence of negative refraction with low dissipation for a transverse mode. Previous hydrodynamical approaches have shown the ubiquitous character of negative refraction in charged plasmas and the absence thereof in neutral plasmas. Our results here extend the analysis for neutral plasmas beyond the hydrodynamical regime. As an application of these new insights we briefly discuss the case of the quark gluon plasma in the temperature dominated regime.

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R-charged black holes and Holographic optics

Cited by 7 publications

References 40 publications

Generalized superconductors and holographic optics. Part II

Generalized superconductors and holographic optics. Part II

Separable wave equations for gravitoelectromagnetic perturbations of rotating charged black strings

Electromagnetic response of strongly coupled plasmas

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