Generalized Kähler geometry and the pluriclosed flow

Jeffrey Streets, Gang Tian

Research output: Contribution to journalArticle

19 Scopus citations

Abstract

In Streets and Tian (2010) [1] the authors introduced a parabolic flow for pluriclosed metrics, referred to as pluriclosed flow. We also demonstrated in Streets and Tian (2010) (preprint) [2] 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 languageEnglish (US)
Pages (from-to)366-376
Number of pages11
JournalNuclear Physics B
Volume858
Issue number2
DOIs
StatePublished - May 11 2012

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics

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