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Touring the Hagedorn Ridge
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We review aspects of the Hagedorn regime in critical string theories, from basic facts about the ideal gas approximation to the proposal of a global picture inspired by general ideas of holography. It was suggested that the condensation of thermal winding modes triggers a first-order phase transition. We propose, by an Euclidean analogue of the string/black hole correspondence principle, that the transition is actually related to a topology change in spacetime. Similar phase transitions induced by unstable winding modes can be studied in toy models. There, using T-duality of supersymmetric cycles, one can identify a topology change of the Gregory--Laflamme type, which we associate with large-N phase transitions of Yang--Mills theories on tori. This essay is dedicated to the memory of Ian Kogan.
Forward citations
Cited by 3 Pith papers
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Size and Shape of Rotating Strings and the Correspondence to Black Holes
The perpendicular-to-parallel size ratio of highly excited rotating strings agrees with rotating black holes at small angular momentum, with a random-walk model reproducing the sizes at all spins.
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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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The Baby Universe is Fine and the CFT Knows It: On Holography for Closed Universes
A closed universe in AdS/CFT is not ruled out by recent SWAP-test arguments; the one-dimensional Hilbert space seen from the CFT is external indistinguishability, and CFT data can reconstruct the closed universe's geometry.
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