Hagedorn Temperature in Superstring Bits and SU(N) Characters

Abstract

We study the simplest superstring bit model at finite N using the characters of the SU(N) group. We obtain exact, analytic expressions for small N partition functions and Gaussian approximations for them in the high temperature limit for all N. We use numerical evidence to identify two temperature regimes where the partition function has different limiting behaviors. The temperature at which this transition takes place is identified as the Hagedorn temperature.

19 pages, 6 figures, funding information, arxiv number of a reference

References in corpus (8)

• The Hagedorn Transition, Deconfinement and N=4 SYM Theory
• Reformulating String Theory with the $1/N$ Expansion
• String Bit Models for Superstring
• Space from String Bits
• Stable String Bit Models
• String Bits at Finite Temperature and the Hagedorn Phase
• Numerical Study of the Simplest String Bit Model
• Color Characters for White Hot String Bits

Cited by in corpus (5)

• Negative specific heat from non-planar interactions and small black holes in AdS/CFT
• From Hagedorn to Lee-Yang: Partition functions of $\mathcal{N}=4$ SYM theory at finite $N$
• Color Characters for White Hot String Bits
• Thermal properties of a string bit model at large N
• Finite N corrections to white hot string bits