WZNW Models and Gauged WZNW Models Based on a Family of Solvable Lie Algebras

TL;DR

This paper introduces a new family of solvable Lie algebras and constructs WZNW and gauged WZNW models based on them, revealing novel features in these models beyond traditional algebraic structures.

Contribution

It presents a previously unstudied family of solvable Lie algebras and develops associated WZNW models, expanding the understanding of algebraic structures in conformal field theories.

Findings

Construction of WZNW models on new solvable Lie algebras

Analysis of phenomena unique to these models

Demonstration that these algebras are not double extensions of Abelian algebras

Abstract

A family of solvable self-dual Lie algebras that are not double extensions of Abelian algebras and, therefore, cannot be obtained through a Wigner contraction, is presented. We construct WZNW and gauged WZNW models based on the first two algebras in this family. We also analyze some general phenomena arising in such models.