Seminar of Department of Theoretical Physics - Ján Pulmann (11.3.2025)
Tuesday 11.3.2025 at 14:00, Lecture room F2/125
Dr. Ján Pulmann (University of Edinburgh):
Lagrangian Relations, Half-Densities and Quantum L∞ Algebras
Abstrakt:
Lagrangian relations model maps and more general correspondences between physical systems. In Batalin-Vilkovisky formalism, it is natural to generalize Lagrangian relations to distributional half-densities, as advocated by Ševera. We give a rigorous definition of linear distributional half-densities and describe their composition, thus constructing a linear version of a quantum odd symplectic category. As an application, we describe the computation of the BV effective action as a composition in this category. Based on [arXiv:2401.06110], joint with B. Jurčo and M. Zika.