Is the Chiral Model equivalent to Wess-Zumino-Witten Model when coupled with Gravity?

Abstract

We investigate the non-abelian $T$-duality of Wess-Zumino-Witten model. The obtained dual model is equivalent to the model dual to the $SU(2)$ chiral model found by Curtright-Zachos. This might tell that the Wess-Zumino term would be induced when the chiral model couples with gravity.

Latex file, 6 pages