Speaker
Dr
Keisuke Ohashi
Description
We present a systematic construction of K¨ahler potentials for various quiver gauge theories, which give pure realizations of the general flag manifolds as target manifolds. There, for arbitrary gener- alized flag manifolds with arbitrary complex structures, we rediscover the K¨ahler potentials given in the basic theory by Bando, Kuramoto, Maskawa and Uehara. In terms of these explicit forms, we confirm that all cluster mutations between different quiver gauge theories always reproduce the same K¨ahler potential. Furthermore these constructions and dualities are applied to Kahlerrian coset space G/H with all classical groups G.
