Higher-order corrections to mass-charge relation of extremal black holes

By Y. Kats, L. Motl, Megha Padi. 2006

244 citations recorded by the source corpus.

We investigate the hypothesis that the higher-derivative corrections always make extremal non-supersymmetric black holes lighter than the classical bound and self-repulsive. This hypothesis was recently formulated in the context of the so-called swampland program. One of our examples involves an extremal heterotic black hole in four dimensions. We also calculate the effect of general four-derivative terms in Maxwell-Einstein theories in D dimensions. The results are consistent with the conjecture.

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

View Paper: https://www.semanticscholar.org/paper/a23a24d543db338a8d0f528f12573d9e12e9c7ba

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Astronomy and Astrophysics

1. Eran Palti
2. R. Myers
3. Aninda Sinha
4. Hirosi Ooguri
5. Tom Rudelius
6. B. Pioline
7. C. Vafa
8. Michael J. Reece

In Nuclear and High Energy Physics

1. Eran Palti
2. R. Myers
3. Tom Rudelius
4. Aninda Sinha
5. Hirosi Ooguri
6. C. Vafa
7. B. Pioline
8. Michael J. Reece

In Statistical and Nonlinear Physics

1. R. Myers
2. Aninda Sinha
3. B. Pioline
4. Hirosi Ooguri
5. I. Valenzuela
6. Eran Palti
7. C. Vafa
8. M. Paulos

Citations in the corpus

• Sharpening the weak gravity conjecture with dimensional reduction (2015, background): “Fortunately, there is some evidence for this hypothesis [23].”
• Evidence for a sublattice weak gravity conjecture (2016, background): “This may at first sound like a contradiction in terms, but corrections to semiclassical GR from higher-dimension operators indeed can produce black holes that are superextremal as viewed relative to the asymptotic linear charge-to-mass relationship [61].”
• Weak gravity strongly constrains large-field axion inflation (2015, background): “Moreover, extremal black holes can also satisfy the WGC, provided that the subleading corrections to the extremality bound have the correct sign [39, 42].”
• Non-supersymmetric AdS and the Swampland (2016, methodology): “In [28], finite Q corrections to m(Q)/|Q| are computed for non-supersymmetric black holes using higher derivative terms in the low energy effective action derived from the heterotic string theory compactified on a torus.”
• Effect of curvature squared corrections in AdS on the viscosity of the dual gauge theory (2007, background): “In particular, the coefficients of the low-energy effective action must satisfy certain inequalities because of causality (or analyticity in the UV) [22] or the requirement that all charged black holes can decay [21, 24].”
• The Lovelock Black Holes (2008, background): “We also make some comments on solutions with time-like naked singularities.”
• Holographic Hydrodynamics with a Chemical Potential (2009, background): “The relation which we would like to draw relies on the further corollary that higher derivative corrections should reduce the mass-to-charge ratio of extremal black holes in a consistent theory of the quantum gravity [20, 56].”
• Lectures on black holes, topological strings and quantum attractors (2006, background): “Conclude that quantum corrections should decrease the ratio M/Q [14, 15].”
• Lectures on the Swampland Program in String Compactifications (2021, background): “[21]), and there is a significant amount of research dedicated to investigate whether such assumptions on higher derivative terms can be related to other IR consistency criteria, as explained next.”
• The Swampland: Introduction and Review (2019, background): “Within the context of black holes this was done in [60,61].”