Non-renormalization for non-supersymmetric black holes

Self Cite

We compute the leading logarithmic correction to black hole entropy on the non-BPS branch of 4D N ≥ 2 supergravity theories. This branch corresponds to finite temperature black holes whose extremal limit does not preserve supersymmetry, such as the D0 − D6 system in string theory. Starting from a black hole in minimal Kaluza-Klein theory, we discuss in detail its embedding into N = 8, 6, 4, 2 supergravity, its spectrum of quadratic fluctuations in all these environments, and the resulting quantum corrections. We find that the c-anomaly vanishes only when N ≥ 6, in contrast to the BPS branch where c vanishes for all N ≥ 2. We briefly discuss potential repercussions this feature could have in a microscopic description of these black holes.

Section: Quantum Corrections To Black Hole Entropymentioning

confidence: 85%

“…Conversely, our analysis shows that on the non-BPS branch c = 0 for N ≤ 4. On the BPS-branch not only has it been found that c = 0 for all N ≥ 2 but this fact has also been shown to be a consequence of N = 2 supersymmetry [22]. It would be interesting to similarly understand why c = 0 requires N ≥ 6 on the non-BPS branch.…”

Section: Discussionmentioning

confidence: 96%

Logarithmic corrections to black hole entropy: the non-BPS branch

Castro

Godet

Larsen

et al. 2018

Self Cite

“…Thus, not all the solutions of the Einstein-Maxwell theory can be embedded in the Heterotic Superstring effective action because unequal electric and magnetic charges always generate a non-trivial scalar field. quantum black hole physics is currently attracting much attention [19,34,35,31,36,37,32,20,33,38]. A recurrent assumption in these explorations is that no additional degrees of freedom are activated at higher orders.…”

Section: Discussionmentioning

confidence: 99%

α′ corrections of Reissner-Nordström black holes

Cano

Chimento

Linares

et al. 2020

109

We study the first-order in α corrections to non-extremal 4-dimensional dyonic Reissner-Nordström (RN) black holes with equal electric and magnetic charges in the context of Heterotic Superstring effective field theory (HST) compactified on a T 6 . The particular embedding of the dyonic RN black hole in HST considered here is not supersymmetric in the extremal limit. We show that, at first order in α , consistency with the equations of motion of the HST demands additional scalar and vector fields become active, and we provide explicit expressions for all of them. We determine analytically the position of the event horizon of the black hole, as well as the corrections to the extremality bound, to the temperature and to the entropy, checking that they are related by the first law of black-hole thermodynamics, so that ∂S/∂M = 1/T. We discuss the implications of our results in the context of the Weak Gravity Conjecture, clarifying that entropy corrections for fixed mass and charge at extremality do not necessarily imply corrections to the extremal chargeto-mass ratio. a pabloantonio.cano[at]kuleuven.be

“…Bosonic sector: one graviton (g µν ), one graviphoton (A µ ) In this section, our motive is to briefly summarize a minimally coupled N = 2 supergravity embedded with the solutions of Einstein-Maxwell theory in four dimensions. There are a class of N = 2 supergravity solutions to the equations of motion, determined by certain conditions [45]. These conditions reduce the full N = 2 supergravity equations of motion to a much simpler form of equations of motion for Einstein-Maxwell theory.…”

Section: Physical Field Contentmentioning

confidence: 99%

Seeley-DeWitt coefficients in $$ \mathcal{N} $$ = 2 Einstein-Maxwell supergravity theory and logarithmic corrections to $$ \mathcal{N} $$ = 2 extremal black hole entropy

Karan

Banerjee

Panda

2019

We investigate the heat kernel method for one-loop effective action following the Seeley-DeWitt expansion technique of heat kernel with Seeley-DeWitt coefficients. We also review a general approach of computing the Seeley-DeWitt coefficients in terms of background or geometric invariants. We, then consider the Einstein-Maxwell theory embedded in minimal N = 2 supergravity in four dimensions and compute the first three Seeley-DeWitt coefficients of the kinetic operator of the bosonic and the fermionic fields in an arbitrary background field configuration. We find the applications of these results in the computation of logarithmic corrections to Bekenstein-Hawking entropy of the extremal Kerr-Newman, Kerr and Reissner-Nordström black holes in minimal N = 2 Einstein-Maxwell supergravity theory following the quantum entropy function formalism.