Logarithmic correction to the entropy of extremal black holes in $$ \mathcal{N} $$ = 1 Einstein-Maxwell supergravity

Abstract We study one-loop covariant effective action of “non-minimally coupled” $$ \mathcal{N} $$ N = 1, d = 4 Einstein-Maxwell supergravity theory by heat kernel tool. By fluctuating the fields around the classical background, we study the functional determinant of Laplacian differential operator following Seeley-DeWitt technique of heat kernel expansion in proper time. We then compute the Seeley-DeWitt coefficients obtained through the expansion. A particular Seeley-DeWitt coefficient is used for determining the logarithmic correction to Bekenstein-Hawking entropy of extremal black holes using quantum entropy function formalism. We thus determine the logarithmic correction to the entropy of Kerr-Newman, Kerr and Reissner-Nordström black holes in “non-minimally coupled” $$ \mathcal{N} $$ N = 1, d = 4 Einstein-Maxwell supergravity theory.

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Logarithmic corrections to black hole entropy in matter coupled $$ \mathcal{N} $$ ≥ 1 Einstein-Maxwell supergravity

Journal of High Energy Physics ◽

10.1007/jhep05(2021)104 ◽

2021 ◽

Vol 2021 (5) ◽

Author(s):

Sudip Karan ◽

Binata Panda

Keyword(s):

Black Holes ◽

Black Hole ◽

Black Hole Entropy ◽

Logarithmic Correction ◽

Supergravity Theory ◽

Entropy Correction ◽

Logarithmic Corrections ◽

Entropy Corrections ◽

Massless Fields ◽

Extremal Black Holes

Abstract We calculate the first three Seeley-DeWitt coefficients for fluctuation of the massless fields of a $$ \mathcal{N} $$ N = 2 Einstein-Maxwell supergravity theory (EMSGT) distributed into different multiplets in d = 4 space-time dimensions. By utilizing the Seeley-DeWitt data in the quantum entropy function formalism, we then obtain the logarithmic correction contribution of individual multiplets to the entropy of extremal Kerr-Newman family of black holes. Our results allow us to find the logarithmic entropy corrections for the extremal black holes in a fully matter coupled $$ \mathcal{N} $$ N = 2, d = 4 EMSGT, in a particular class of $$ \mathcal{N} $$ N = 1, d = 4 EMSGT as consistent decomposition of $$ \mathcal{N} $$ N = 2 multiplets ($$ \mathcal{N} $$ N = 2 → $$ \mathcal{N} $$ N = 1) and in $$ \mathcal{N} $$ N ≥ 3, d = 4 EMSGTs by decomposing them into $$ \mathcal{N} $$ N = 2 multiplets ($$ \mathcal{N} $$ N ≥ 3 → $$ \mathcal{N} $$ N = 2). For completeness, we also obtain logarithmic entropy correction results for the non-extremal Kerr-Newman black holes in the matter coupled $$ \mathcal{N} $$ N ≥ 1, d = 4 EMSGTs by employing the same Seeley-DeWitt data into a different Euclidean gravity approach developed in [17].

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New non-extremal and BPS hairy black holes in gauged $$ \mathcal{N} $$ = 2 and $$ \mathcal{N} $$ = 8 supergravity

Journal of High Energy Physics ◽

10.1007/jhep04(2021)047 ◽

2021 ◽

Vol 2021 (4) ◽

Author(s):

Andres Anabalon ◽

Dumitru Astefanesei ◽

Antonio Gallerati ◽

Mario Trigiante

Keyword(s):

Black Holes ◽

Black Hole ◽

Boundary Conditions ◽

Charged Black Hole ◽

Dual Theory ◽

Real Numbers ◽

Hairy Black Holes ◽

Interpolation Parameter ◽

Black Hole Solutions ◽

Extremal Black Holes

Abstract In this article we study a family of four-dimensional, $$ \mathcal{N} $$ N = 2 supergravity theories that interpolates between all the single dilaton truncations of the SO(8) gauged $$ \mathcal{N} $$ N = 8 supergravity. In this infinitely many theories characterized by two real numbers — the interpolation parameter and the dyonic “angle” of the gauging — we construct non-extremal electrically or magnetically charged black hole solutions and their supersymmetric limits. All the supersymmetric black holes have non-singular horizons with spherical, hyperbolic or planar topology. Some of these supersymmetric and non-extremal black holes are new examples in the $$ \mathcal{N} $$ N = 8 theory that do not belong to the STU model. We compute the asymptotic charges, thermodynamics and boundary conditions of these black holes and show that all of them, except one, introduce a triple trace deformation in the dual theory.

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Slow scrambling in extremal BTZ and microstate geometries

Journal of High Energy Physics ◽

10.1007/jhep03(2021)020 ◽

2021 ◽

Vol 2021 (3) ◽

Author(s):

Ben Craps ◽

Marine De Clerck ◽

Philip Hacker ◽

Kévin Nguyen ◽

Charles Rabideau

Keyword(s):

Field Theory ◽

Black Holes ◽

Degrees Of Freedom ◽

Average Power ◽

Nonzero Temperature ◽

Time Intervals ◽

Conformal Field ◽

Btz Black Holes ◽

The Right ◽

Extremal Black Holes

Abstract Out-of-time-order correlators (OTOCs) that capture maximally chaotic properties of a black hole are determined by scattering processes near the horizon. This prompts the question to what extent OTOCs display chaotic behaviour in horizonless microstate geometries. This question is complicated by the fact that Lyapunov growth of OTOCs requires nonzero temperature, whereas constructions of microstate geometries have been mostly restricted to extremal black holes.In this paper, we compute OTOCs for a class of extremal black holes, namely maximally rotating BTZ black holes, and show that on average they display “slow scrambling”, characterized by cubic (rather than exponential) growth. Superposed on this average power-law growth is a sawtooth pattern, whose steep parts correspond to brief periods of Lyapunov growth associated to the nonzero temperature of the right-moving degrees of freedom in a dual conformal field theory.Next we study the extent to which these OTOCs are modified in certain “superstrata”, horizonless microstate geometries corresponding to these black holes. Rather than an infinite throat ending on a horizon, these geometries have a very deep but finite throat ending in a cap. We find that the superstrata display the same slow scrambling as maximally rotating BTZ black holes, except that for large enough time intervals the growth of the OTOC is cut off by effects related to the cap region, some of which we evaluate explicitly.

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Uptunneling to de Sitter

Journal of High Energy Physics ◽

10.1007/jhep09(2020)070 ◽

2020 ◽

Vol 2020 (9) ◽

Author(s):

Mehrdad Mirbabayi

Keyword(s):

Black Holes ◽

Black Hole ◽

False Vacuum ◽

De Sitter ◽

Dimensional Theory ◽

Hole Geometry ◽

Horizon Geometry ◽

Two Sides ◽

Extremal Black Holes

Abstract We propose a Euclidean preparation of an asymptotically AdS2 spacetime that contains an inflating dS2 bubble. The setup can be embedded in a four dimensional theory with a Minkowski vacuum and a false vacuum. AdS2 approximates the near horizon geometry of a two-sided near-extremal Reissner-Nordström black hole, and the two sides can connect to the same Minkowski asymptotics to form a topologically nontrivial worm- hole geometry. Likewise, in the false vacuum the near-horizon geometry of near-extremal black holes is approximately dS2 times 2-sphere. We interpret the Euclidean solution as describing the decay of an excitation inside the wormhole to a false vacuum bubble. The result is an inflating region inside a non-traversable asymptotically Minkowski wormhole.

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The statistical mechanics of near-extremal black holes

Journal of High Energy Physics ◽

10.1007/jhep05(2021)145 ◽

2021 ◽

Vol 2021 (5) ◽

Author(s):

Luca V. Iliesiu ◽

Gustavo J. Turiaci

Keyword(s):

Black Holes ◽

Black Hole ◽

Partition Function ◽

Gauge Field ◽

Dimensional Reduction ◽

Degrees Of Freedom ◽

Energy Scale ◽

Fixed Charge ◽

Extremal Black Hole ◽

Extremal Black Holes

Abstract An important open question in black hole thermodynamics is about the existence of a “mass gap” between an extremal black hole and the lightest near-extremal state within a sector of fixed charge. In this paper, we reliably compute the partition function of Reissner-Nordström near-extremal black holes at temperature scales comparable to the conjectured gap. We find that the density of states at fixed charge does not exhibit a gap; rather, at the expected gap energy scale, we see a continuum of states. We compute the partition function in the canonical and grand canonical ensembles, keeping track of all the fields appearing through a dimensional reduction on S2 in the near-horizon region. Our calculation shows that the relevant degrees of freedom at low temperatures are those of 2d Jackiw-Teitelboim gravity coupled to the electromagnetic U(1) gauge field and to an SO(3) gauge field generated by the dimensional reduction.

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