Asymptotic Level State Density for Parabosonic Strings

TL;DR

This paper derives the asymptotic behavior of the level density of states for parabosonic strings using partition theory, highlighting similarities with membranes.

Contribution

It provides the first complete asymptotic analysis of parabosonic string level density using number theory techniques.

Findings

Asymptotic formula for large n level density

Connection between parabosonic strings and membranes

Application of partition theory in string analysis

Abstract

Making use of some results concerning the theory of partitions, relevant in number theory, the complete asymptotic behavior, for large $n$, of the level density of states for a parabosonic string is derived. It is also pointed out the similarity between parabosonic strings and membranes.