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Evaporation of microscopic black holes in string theory and the bound on species

2009/12/16 by Gia Dvali, G. Dvali, Dieter Lust +2 · 87 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Black brane #Black hole (networking) #Cosmology and Gravitation Theories #Entropy (arrow of time) #Extremal black hole #Particle physics theoretical and experimental studies #Physics #Quantum mechanics #String (physics) #String theory #Theoretical physics #hep-th

paper · pdf · doi:10.1002/prop.201000008

published in Fortschritte der Physik 58(6), 505-527 (Wiley) · 34 pages

arxiv created 2009/12/16 · openalex publication_date 2010/04/19 · arxiv updated 2014/11/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

Abstract We address the question how string compactifications with D‐branes are consistent with the black hole bound, which arises in any theory with number of particle species to which the black holes can evaporate. For the Kaluza‐Klein particles, both longitudinal and transversal to the D‐branes, it is relatively easy to see that the black hole bound is saturated, and the geometric relations can be understood in the language of species‐counting. We next address the question of the black hole evaporation into the higher string states and discover, that contrary to the naive intuition, the exponentially growing number of Regge states does not preclude the existence of semi‐classical black holes of sub‐stringy size. Our analysis indicates that the effective number of string resonances to which such micro black holes evaporate is not exponentially large but is bounded by N = 1/g s 2 , which suggests the interpretation of the well‐known relation between the Planck and string scales as the saturation of the black hole bound on the species number. In addition, we also discuss some other issues in D‐brane compactifications with a low string scale of order TeV, such as the masses of light moduli fields.

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