Currents, Charges, and Canonical Structure of Pseudodual Chiral Models

TL;DR

This paper explores the pseudodual chiral model, revealing its infinite conservation laws, particle production, and symmetries, and establishes its canonical equivalence to the standard chiral model.

Contribution

It introduces a refined method for deriving nonlocal symmetries and details the canonical transformation linking the pseudodual and original chiral models.

Findings

The pseudodual model has infinite conservation laws despite allowing particle production.

A refined algorithm efficiently produces nonlocal symmetries.

The canonical transformation explicitly relates the pseudodual and original models.

Abstract

We discuss the pseudodual chiral model to illustrate a class of two-dimensional theories which have an infinite number of conservation laws but allow particle production, at variance with naive expectations. We describe the symmetries of the pseudodual model, both local and nonlocal, as transmutations of the symmetries of the usual chiral model. We refine the conventional algorithm to more efficiently produce the nonlocal symmetries of the model, and we discuss the complete local current algebra for the pseudodual theory. We also exhibit the canonical transformation which connects the usual chiral model to its fully equivalent dual, further distinguishing the pseudodual theory.