In Streets and Tian (2010)  the authors introduced a parabolic flow for pluriclosed metrics, referred to as pluriclosed flow. We also demonstrated in Streets and Tian (2010) (preprint)  that this flow, after certain gauge transformations, gives a class of solutions to the renormalization group flow of the nonlinear sigma model with B-field. Using these transformations, we show that our pluriclosed flow preserves generalized Kähler structures in a natural way. Equivalently, when coupled with a nontrivial evolution equation for the two complex structures, the B-field renormalization group flow also preserves generalized Kähler structure. We emphasize that it is crucial to evolve the complex structures in the right way to establish this fact.
|Original language||English (US)|
|Number of pages||11|
|Journal||Nuclear Physics B|
|State||Published - May 11 2012|
All Science Journal Classification (ASJC) codes
- Nuclear and High Energy Physics