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On Small Black Holes in String Theory
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abstract
We discuss the worldsheet sigma-model whose target space is the $d+1$ dimensional Euclidean Schwarzschild black hole. We argue that in the limit where the Hawking temperature of the black hole, $T$, approaches the Hagedorn temperature, $T_H$, it can be described in terms of a generalized version of the Horowitz-Polchinski effective theory. For $d\geq6$, where the Horowitz-Polchinski EFT [1,2] does not have suitable solutions, the modified effective Lagrangian allows one to study the black hole CFT in an expansion in powers of $d-6$ and $T_H-T$. At $T=T_H$, the sigma model is non-trivial for all $d>6$. It exhibits an enhanced $SU(2)$ symmetry, and is described by a non-abelian Thirring model with a radially dependent coupling. The resulting picture connects naturally to the results of [3-5], that relate Schwarzschild black holes in flat spacetime at large $d$ to the two dimensional black hole. We also discuss an analogous open string system, in which the black hole is replaced by a system of two separated D-branes connected by a throat. In this system, the asymptotic separation of the branes plays the role of the inverse temperature. At the critical separation, the system is described by a Kondo-type model, which again exhibits an enhanced $SU(2)$ symmetry. At large $d$, the brane system gives rise to the hairpin brane [6].
Forward citations
Cited by 9 Pith papers
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String stars in $d\geq 7$
String stars in d≥7 exist as higher-dimensional counterparts of Horowitz-Polchinski solutions, with perturbative d=7 solutions and normalizable candidates in d>7.
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Near-Hagedorn string solutions show that in five and six spacetime dimensions, the Gregory-Laflamme pinch halts at a stable stringy neck that slowly evaporates, avoiding a naked singularity.
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IR Black Hole Instabilities Trigger Species-Scale Particle Production
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Self-gravitating strings and quantum effects in two-dimensional gravity
An exact analytic Horowitz-Polchinski winding-string solution is derived for two-dimensional dilaton gravity and for the quantum-corrected RST model, with a classification of singular, regular, and horizon branches.
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Phases of String Stars in the Presence of a Spatial Circle
String star phase diagrams on a spatial circle are computed: new d=2 solutions, a quartic-induced d=5 swallowtail, and an anomalous d=6 stability pattern.
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A short overview on the Black Hole-Tower Correspondence and Species Thermodynamics
A review of the black hole-tower correspondence and species thermodynamics, which aim to explain black hole entropy via towers of light states and to show only certain towers are allowed.
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Exploring String Theory Solutions: Black hole thermodynamics with $\alpha'$ corrections and type II compactifications
A doctoral thesis restating published results on α'-corrected black holes in heterotic string theory and on type II flux compactifications, with no new standalone results.
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