Entropy function for heterotic black holes

By Ashoke Sen. 2005

262 citations recorded by the source corpus.

We use the entropy function formalism to study the effect of the Gauss-Bonnet term on the entropy of spherically symmetric extremal black holes in heterotic string theory in four dimensions. Surprisingly the resulting entropy and the near horizon metric, gauge field strengths and the axion-dilaton field are identical to those obtained by Cardoso et al. for a supersymmetric version of the theory that contains Weyl tensor squared term instead of the Gauss-Bonnet term. We also study the effect of holomorphic anomaly on the entropy using our formalism. Again the resulting attractor equations for the axion-dilaton field and the black hole entropy agree with the corresponding equations for the supersymmetric version of the theory. These results suggest that there might be a simpler description of supergravity with curvature squared terms in which we supersymmetrize the Gauss-Bonnet term instead of the Weyl tensor squared term.

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

View Paper: https://www.semanticscholar.org/paper/cf73bc302916d347d4f86faaf4713c7aa67733a3

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Citations in the corpus

The Lovelock Black Holes (2008, background): “We also make some comments on solutions with time-like naked singularities.”
Black hole partition functions and duality (2006, background): “For black holes whose area vanishes classically, there remain discrepancies at the semiclassical level and beyond, the nature of which is not fully understood at present.”
Non-supersymmetric attractors (2005, methodology): “Using the fact that the black hole entropy is equal to the value of the entropy function at its extremum, we can derive some useful results following the analysis of [6, 49].”
Logarithmic corrections to extremal black hole entropy from quantum entropy function (2010, background): “In the extremal limit this leads to a simple algebraic procedure for determining the near horizon field configurations and the entropy [5,6], leading to a simple proof of the attractor mechanism [7–9] in a general higher derivative theory coupled to matter.”
Entropy function and AdS2/CFT1 correspondence (2008, methodology): “using the one particle irreducible (1PI) effective action instead of the classical action in computing the entropy [8, 9, 10, 11, 7], or, in the special case of N ≥ 2 supersymmetric string theories in four dimensions, the OSV formula [12, 13, 14, 15].”
Black hole entropy function, attractors and precision counting of microstates (2007, methodology): “6) agrees with the corresponding equations in [4] for α = 16.”
Wald's entropy is equal to a quarter of the horizon area in units of the effective gravitational coupling (2007, methodology): “In [17] Sen considered extremal BH’s with two electric and two magnetic charges assuming the near horizon solution is of the form AdS2 × S(2): ds(2) = ν1 [ −r(2)dt(2) + dr 2 r2 ] + ν2dΩ (2).”
Rotating Attractors (2006, methodology): “Using the fact that the black hole entropy is equal to the value of the entropy function at its extremum, we can derive some useful results following the analysis of [30, 31].”
Logarithmic corrections to $${\mathcal{N} = 2}$$ black hole entropy: an infrared window into the microstates (2011, background): “Although the resulting action is quite complicated, it is known that supersymmetrization of I, evaluated in the near horizon background of the black hole [75–80], takes the same value as −E [6, 81] even though I itself vanishes in the near horizon geometry and E does not vanish.”
Black hole microstates and attractor without supersymmetry (2006, methodology): “symmetry, the attractor values of moduli can be obtained by extremizing an ‘entropy function’. The value of the function at the extremum gives the full Bekenstein-Hawking entropy of these black holes [21, 32] after inclusion of higher derivative corrections to the entropy formula following Wald’s pr”