Seminars

SH Leibniz algebra from homotopic embedding tensors.

Author:    Publicsh date:2019-05-23    Clicks:
Title: SH Leibniz algebra from homotopic embedding tensors.Speaker: 陈酌(清华大学数学系教授)Time: 2:30 - 3:30 pm, 2019.06.03Location: Center for Mathematical Sciences, Room 813Abstract:The embedding tensor appears in the gauging procedure of supergravity theories. Kotov and Strobl prove that there exists a correspondence between embedding tensors and Leibniz algebras, and show that the assoc...

Title: SH Leibniz algebra from homotopic embedding tensors.

Speaker: 陈酌(清华大学数学系教授)

Time: 2:30 - 3:30 pm, 2019.06.03

Location: Center for Mathematical Sciences, Room 813


Abstract:

The embedding tensor appears in the gauging procedure of supergravity theories. Kotov and Strobl prove that there exists a correspondence between embedding tensors and Leibniz algebras, and show that the associated tensor hierarchy only depends on the corresponding Leibniz algebra. In this talk, we consider a homotopic version of embedding tensors in the context of dg geometry and derive SH(strongly homotopy) Leibniz algebras from homotopic embedding tensors. Several interesting examples will be discussed. This is joint work with M.Xiang and T.Zhang.