SKT Geometry

          @misc{ pirsa_PIRSA:12050022,
            doi = {10.48660/12050022},
            url = {https://pirsa.org/12050022},
            author = {},
            keywords = {},
            language = {en},
            title = {SKT Geometry},
            publisher = {Perimeter Institute},
            year = {2012},
            month = {may},
            note = {PIRSA:12050022 see, \url{https://pirsa.org}}
          }
          

Abstract

In classical terms, an SKT structure is a Hermitian structure for which the Hermitian 2-form is closed with respect to the second order operator ddc. These structures arise naturally in the study of sigma models with (2; 0) or (2; 1)-supersymmetries, much like generalized Kahler structures arise in the (2; 2)-supersymmetric sigma model. While the introduction of generalized complex geometry has provided the correct framework to study generalized Kahler structures and great progress has been made in this area in the last few years, SKT structures laid forgotten. We will take a look at what the generalized complex framework can do for SKT structures and in the process dispel some misconceptions that have arisen over the years.