Dilaton black holes in the de Sitter or anti–de Sitter universe

Abstract:The chiral magnetic and the chiral vortical effects are recently discovered phenomena arising from chiral gauge and gravitational anomalies that lead to generation of electric currents in presence of magnetic field or vorticity. The magnitude of these effects is determined by the anomalous conductivities. These conductivities can be calculated by the linear response theory, and in the strong coupling limit this calculation can be carried out by the holographic techniques. Earlier calculations in case of conformal field theories indicate non-renormalization of these conductivities where the holographic calculation agrees with the free field limit. We extend this holographic study to non-conformal theories exhibiting mass-gap and confinement-deconfinement type transitions in a holographic model based on the analytic black hole solution of Gao and Zhang. We show that radiative corrections are also absent in these non-conformal theories confirming indirect arguments of Jensen et al. in a direct and non-trivial fashion. There are various indications in field theory that such radiative corrections should arise when contribution of dynamical gluon fields to the chiral anomaly is present. Motivated by this, we seek for such corrections in the holographic picture and argue that such corrections indeed arise through mixing of the background and its fluctuations with the axion and the one-form fields that couple to the flavor and probe gauge branes through the Wess-Zumino terms. These corrections are non-vanishing when the flavor to color ratio N f /N c is finite, therefore they are only visible in the Veneziano limit at large N c .

Section: Jhep10(2014)092mentioning

confidence: 99%

“…We introduce the background of [49] and derive its thermodynamic properties in section 2. The dilaton potential depends on an adjustable real parameter α.…”

Section: Jhep10(2014)092mentioning

confidence: 99%

See 1 more Smart Citation

(Non)renormalization of anomalous conductivities and holography

Gürsoy

Jansen

2014

“…The black hole solutions of these theories were studied first in [37,38], then generalized to arbitrary topology [40], and then an arbitrary number of spins on the brane directions were included in the planar case, [41]. The thermodynamics were studied in [39,40].…”

Section: Generic Charged Ads Dilatonic Black Holementioning

confidence: 99%

“…In this section, we shall examine black hole solutions which are asymptotically AdS with a non-trivial gauge and scalar field, [37]- [40]. 23 The price to pay is to increase the number of exponentials in the potential to three.…”

Section: Ads Dilatonic Black Holes and Near-extremal Rotating Black Bmentioning

confidence: 99%

Generalized holographic quantum criticality at finite density

Goutéraux

Kiritsis

2011

289

453

Abstract:We show that the near-extremal solutions of Einstein-Maxwell-Dilaton theories, studied in [4], provide IR quantum critical geometries, by embedding classes of them in higher-dimensional AdS and Lifshitz solutions. This explains the scaling of their thermodynamic functions and their IR transport coefficients, the nature of their spectra, the Gubser bound, and regulates their singularities. We propose that these are the most general quantum critical IR asymptotics at finite density of EMD theories.

Holographic complexity equals which action?

Goto

Marrochio

Myers

et al. 2019

117

122

We revisit the complexity=action proposal for charged black holes. We investigate the complexity for a dyonic black hole, and we find the surprising feature that the late-time growth is sensitive to the ratio between electric and magnetic charges. In particular, the late-time growth rate vanishes when the black hole carries only a magnetic charge. If the dyonic black hole is perturbed by a light shock wave, a similar feature appears for the switchback effect, e.g., it is absent for purely magnetic black holes. We then show how the inclusion of a surface term to the action can put the electric and magnetic charges on an equal footing, or more generally change the value of the late-time growth rate. Next, we investigate how the causal structure influences the late-time growth with and without the surface term for charged black holes in a family of Einstein-Maxwell-Dilaton theories. Finally, we connect the previous discussion to the complexity=action proposal for the two-dimensional Jackiw-Teitelboim theory. Since the two-dimensional theory is obtained by a dimensional reduction from Einstein-Maxwell theory in higher dimensions in a near-extremal and near-horizon limit, the choices of parent action and parent background solution determine the behaviour of holographic complexity in two dimensions. arXiv:1901.00014v1 [hep-th] 31 Dec 2018 1 A more sophisticated approach to choosing the latter scale was described in [19].