DDF and Pohlmeyer invariants of (super)string

Abstract

We show how the Pohlmeyer invariants of the bosonic string are expressible in terms of DDF invariants. Quantization of the DDF observables in the usual way yields a consistent quantization of the algebra of Pohlmeyer invariants. Furthermore it becomes straightforward to generalize the Pohlmeyer invariants to the superstring as well as to all backgrounds which allow a free field realization of the worldsheet theory.

17 pp, minor typos corrected, references to papers by Isaev and Borodulin added, which contain essentially the same results as reported here

References in corpus (4)

• The LQG -- String: Loop Quantum Gravity Quantization of String Theory I. Flat Target Space
• Superstrings on NSNS PP-Waves and Their CFT Duals
• On deformations of 2d SCFTs
• Pohlmeyer invariants are expressible in terms of DDF invariants

Cited by in corpus (8)

• Loop quantum gravity: an outside view
• From Loop Space Mechanics to Nonabelian Strings
• String quantization: Fock vs. LQG Representations
• Polymer quantization of CGHS model- I
• The invariant charges of the Nambu-Goto String and Canonical Quantization
• Pohlmeyer invariants are expressible in terms of DDF invariants
• Gravitational null rays: Covariant Quantization and the Dressing Time
• Super-Pohlmeyer invariants and boundary states for non-abelian gauge fields