Deconstructing the Little Hagedorn Holography

Abstract

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. We investigate 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.

47 pages, 10 figures

References in corpus (41)

• Gauge Theory Correlators from Non-Critical String Theory
• Dielectric-Branes
• Black Strings and p-Branes are Unstable
• Supergravity and The Large N Limit of Theories With Sixteen Supercharges
• (De)Constructing Dimensions
• Matrix Description of M-theory on $T^5$ and $T^5/Z_2$
• UV/IR Relations in AdS Dynamics
• Linear Dilatons, NS5-branes and Holography
• Large N Limit of Non-Commutative Gauge Theories
• Non-Commutative Yang-Mills and the AdS/CFT Correspondence
• A brief review of "little string theories"
• Matrix Description of M-theory on $T^4$ and $T^5$
• Classical and Thermodynamic Stability of Black Branes
• Deconstructing (2,0) and Little String Theories
• Phases of Quantum Gravity in AdS3 and Linear Dilaton Backgrounds
• LSZ in LST
• Supergravity and Large N Noncommutative Field Theories
• Semiclassical decay of near extremal fivebranes
• Comments on the Thermodynamics of Little String Theory
• Statistical Entropy of Near Extremal Five-branes
• Comments on the IIA NS5-brane
• IR Dynamics of d=2, N=(4,4) Gauge Theories and DLCQ of "Little String Theories"
• On Stringy Thresholds in SYM/AdS Thermodynamics
• Asymptotic Flatness, Little String Theory, and Holography
• Closed-String Tachyons and the Hagedorn Transition in AdS Space
• Near Hagedorn Dynamics of NS Fivebranes, or A New Universality Class of Coiled Strings
• Hagedorn Behaviour of Little String Theory from String Corrections to NS5-Branes
• Horizon divergences of Fields and Strings in Black Hole backgrounds
• S-Duality, Deconstruction and Confinement for a Marginal Deformation of N=4 SUSY Yang-Mills
• Instabilities of Near-Extremal Smeared Branes and the Correlated Stability Conjecture
• Remarks on Black Hole Instabilities and Closed String Tachyons
• A New Deconstruction of Little String Theory
• Deconstructing Noncommutativity with a Giant Fuzzy Moose
• Little String Thermodynamics
• Remarks on Thermal Strings outside Black Holes
• On 1/N Corrections to the Entropy of Noncommutative Yang-Mills Theories
• Holographic Renormalization of Gravity in Little String Theory Duals
• Extensivity Versus Holography in Anti-de Sitter Spaces
• New Phases of Thermal SYM and LST from Kaluza-Klein Black Holes
• Integrable Spin Chains on the Conformal Moose
• Thermodynamics of the Near-Extremal NS5-brane

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• Stability of linear dilaton black holes at the Hagedorn temperature
• Remarks on the thermodynamic stability of TT-bar deformations
• Fast Scramblers Of Small Size
• Ideal gas matching for thermal Galilean holography
• Little String Theories on Curved Manifolds