Logarithmic corrections to extremal black hole entropy from quantum entropy function

By Shamik Banerjee, Rajesh Kumar Gupta, Ashoke Sen. 2010

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We evaluate the one loop determinant of matter multiplet fields of $ \mathcal{N} = 4 $ supergravity in the near horizon geometry of quarter BPS black holes, and use it to calculate logarithmic corrections to the entropy of these black holes using the quantum entropy function formalism. We show that even though individual fields give non-vanishing logarithmic contribution to the entropy, the net contribution from all the fields in the matter multiplet vanishes. Thus logarithmic corrections to the entropy of quarter BPS black holes, if present, must be independent of the number of matter multiplet fields in the theory. This is consistent with the microscopic results. During our analysis we also determine the complete spectrum of small fluctuations of matter multiplet fields in the near horizon geometry.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/377cb04229b73e25ce41857eabf202ae5746388a

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Citations in the corpus

Logarithmic corrections to $${\mathcal{N} = 2}$$ black hole entropy: an infrared window into the microstates (2011, methodology): “Thus we can borrow the result of [9], which shows that the net contribution to the heat kernel from these fields, after taking into account the effect of the ghost fields, is given by 4K(0; s) for each vector multiplet, with K given in (3.”
Logarithmic corrections to rotating extremal black hole entropy in four and five dimensions (2011, background): “entropy function approach is rooted in Euclidean quantum gravity [60], what the results of this paper and those in [25, 26] show is that Euclidean quantum gravity provides us with an accurate description of the quantum corrections to black hole entropy.”
A one-loop test of quantum supergravity (2012, methodology): “As explained in [16, 17, 18, 19, 20], one can extract from the Seeley–De Witt expansion the contribution to ln detA proportional to log L.”
Entanglement Entropy of Black Holes (2011, unknown): “This aspect was studied recently in [8] for black holes in N = 4 supergravity and at least some partial (for the entropy due to matter multiplet of the supergravity) agreement with the microscopic calculation has indeed been observed.”
The statistical mechanics of near-extremal black holes (2020, methodology): “ the matter contribution is only a shift of the extremal mass, or a temperature independent (L 2 dependent) nite correction to the partition function which potentially can only correct S 0. Following [9] one could even resum the whole tower of KK modes and reach the same conclusion. One might wonder”
The statistical mechanics of near-BPS black holes (2020, methodology): “and + ˘G 1=2 , and we will compute the Killing spinor analog of fG ;G 0 gwhich were the 29Some of our conventions for Killing spinors may be dierent than elsewhere in the literature. For more, see [86,83,33,34]. 42 anticommutators appearing in (3.23). Therefore, we consider objects of the form, M ”
Quantum black holes, localization, and the topological string (2010, background): “Similarly, it was found in [15] that very similar determinant factors for vector multiplets equal unity N = 4 theories.”