Veneziano Amplitudes, Spin Chains and String Models

TL;DR

This paper reveals a precise mapping between Veneziano amplitudes and the Polychronakos-Frahm spin chain model, enabling the recovery of various string-theoretic models and deepening the understanding of their interrelations.

Contribution

It establishes an exact correspondence between Veneziano amplitudes and a well-known spin chain model, unifying different string-theoretic approaches.

Findings

Partition function for Veneziano amplitudes matches that of the P-F spin chain.

Allows recovery of existing string-theoretic models.

Provides new insights into the structure of string amplitudes.

Abstract

In a series of recently published papers we reanalyzed the existing treatments of Veneziano and Veneziano-like amplitudes and the models associated with these amplitudes. In this work we demonstrate that the already obtained new partition function for these amplitudes can be exactly mapped into that for the Polychronakos-Frahm (P-F) spin chain model. This observation allows us to recover many of the existing string-theoretic models, including the most recent ones.