Pohlmeyer invariants are expressible in terms of DDF invariants

TL;DR

This paper demonstrates that Pohlmeyer invariants are a subset of DDF invariants in classical bosonic strings, simplifying their quantization and enabling generalization to superstrings.

Contribution

It establishes the relationship between Pohlmeyer and DDF invariants, facilitating easier quantization and extension to superstring theory.

Findings

Pohlmeyer invariants are a subset of DDF invariants

Quantization of Pohlmeyer invariants is simplified

Extension to superstring is possible

Abstract

It is shown that the Pohlmeyer invariants of the classical bosonic string are a proper subset of the classical DDF invariants. This makes the quantization of the Pohlmeyer invariants particularly transparent and allows to generalize them to the superstring.