Homotopy algebraic approach to Lagrangian multiform

Abstract: Lagrangian’s homotopy algebra may provide an alternative way to perform field-theoretical computations.

In this talk, I study a homotopy algebraic description of Lagrangian multiform theory and present that some generating Lagrangians in Lagrangian multiform theory can be written into the WZW-like form, which appears in the formulation of superstring field theory.

This WZW-like action includes a tuple of L_infty algebras, and a modified classical Yang-Baxter equation of integrable models appears in the L_infty relations manifestly.

This talk is partly based on discussion in Asahipen-meeting (on going work).

high energy physicsmathematical physicsnonlinear sciences

Audience: researchers in the topic

Nagoya IAR workshop on Unification of Integrable Systems