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Deconstructing the Little Hagedorn holography
Author(s) -
Fuertes C.A.
Publication year - 2008
Publication title -
fortschritte der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.469
H-Index - 71
eISSN - 1521-3978
pISSN - 0015-8208
DOI - 10.1002/prop.200810563
Subject(s) - physics , string theory , theoretical physics , phase transition , holography , string (physics) , radiative transfer , conformal map , effective field theory , critical point (mathematics) , quantum electrodynamics , quantum mechanics , mathematics , mathematical analysis
We study aspects of the thermodynamics of Little String Theory, using its geometrical definition in critical ten‐dimensional string theory. We find that bulk radiation effects tend to screen the Hagedorn behaviour of the theory, in contrast to the behaviour in the AdS system background. The resulting density of states of the system, when stable, is described by a seven‐dimensional nonrelativistic gas. This requires modifications of the holographic Little Hagedorn picture. Using deconstructions we suggest such modifications. The model is embedded into a system which has an ultraviolet fixed point with an AdS description. Upon investigation the thermodynamical properties of these UV completed models, it is found that the Hagedorn regime survives in a finite band of superheated states that eventually decay into the plasma phase of the conformal field theory that serves as UV regulator. This is manifested in a first‐order phase transition that is driven by radiative corrections.