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.
Bibliographical noteFunding Information:
We would like to thank A.A. Tseytlin for useful discussions. The work of A.G. is supported in part by the BSF (American-Israel Bi-National Science Foundation), by the BRF (Basic Research Foundation) and by an Alon fellowship. The work of E.R. is supported in part by the BSF and by the BRF.