Near Hagedorn Dynamics of NS Fivebranes, or A New Universality Class of Coiled Strings

Abstract

We analyze the thermodynamics of NS 5-branes as the temperature approaches the NS 5-branes' Hagedorn temperature, and conclude that the dynamics of ``Little String Theory'' is a new universality class of interacting strings. First we point out how to vary the temperature of the near extremal solution by taking into account $g_s$ corrections. The Hagedorn temperature is shown to be a limiting temperature for the theory. We then compare the thermodynamics to that of a toy model made of free strings and find basic discrepancies. This suggests a need for a new class of string interactions. We suggest that this new universality class is characterized by a strong attractive self-intersection interaction, which causes strings to be coiled. This model might also explain why ``Little String Theories'' exist in at most 5+1 dimensions.

37 pages, important signs in section 6.4 corrected, references added

References in corpus (8)

• Noncommutative Perturbative Dynamics
• The String Dual of a Confining Four-Dimensional Gauge Theory
• A brief review of "little string theories"
• Comments on Noncommutative Perturbative Dynamics
• Comments on Double Scaled Little String Theory
• Hagedorn Behaviour of Little String Theory from String Corrections to NS5-Branes
• On The Universality Class Of Little String Theories
• Holography, Singularities on Orbifolds and 4D N=2 SQCD

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• Long strings in two dimensional string theory and non-singlets in the matrix model
• Comments on the Thermodynamics of Little String Theory
• Open Branes in Space-Time Non-Commutative Little String Theory
• The Silence of the Little Strings
• New Phases of Near-Extremal Branes on a Circle
• Hagedorn Behaviour of Little String Theory from String Corrections to NS5-Branes
• The Hagedorn transition in non-commutative open string theory
• On alpha'-corrections to D-brane solutions
• Notes on a SQCD-like plasma dual and holographic renormalization
• Strings at Finite Temperature: Wilson Lines, Free Energies, and the Thermal Landscape
• Hot Little String Correlators: A View From Supergravity
• On the Relevance of the Thermal Scalar
• D-Brane Propagation in Two-Dimensional Black Hole Geometries
• A silence black hole: Hawking radiation at the Hagedorn temperature
• Deconstructing the Little Hagedorn Holography
• On the thermodynamic instability of LST
• Thermodynamics of the Near-Extremal NS5-brane
• Thermal Correlators in Little String Theory
• Intersecting Non-extreme p-Branes and Linear Dilaton Background
• Thermodynamics of Superstring on Near-extremal NS5 and Effective Hagedorn Behavior
• Hagedorn Behavior of Little String Theories
• Hagedorn String Thermodynamics in Curved Spacetimes and near Black Hole Horizons
• The Ground Ring of N=2 Minimal String Theory
• Black Holes and Black Strings on Cylinders
• Black Hole - String Transition and Rolling D-brane
• On Non-Critical Superstring/Black Hole Transition
• Little String Theories on Curved Manifolds
• Re-Identifying the Hagedorn Transition
• Compactified NCOS and duality
• Open Branes and Little Strings