Seminár Katedry teoretickej fyziky - Ján Pulmann (11.3.2025)

v utorok 11.3.2025 o 14:00 hod. v miestnosti F2/125

27. 02. 2025 22.35 hod.
Od: Peter Maták

Prednášajúci: Dr. Ján Pulmann (University of Edinburgh)

Názov: Lagrangian Relations, Half-Densities and Quantum L_∞ Algebras

Termín: 11.3.2025, 14:00 hod., miestnosť F2 125

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.