Institut für Mathematik


Modul:   MAT075  Zurich Graduate Colloquium

What is… the Reduced Phase Space of (N=1,D=4) Supergravity?

Vortrag von Filippo Fila-Robattino

Datum: 26.09.23  Zeit: 16.00 - 17.00  Raum:

In field theory, from a local Lagrangian it is possible to derive the phase space of the system. Roughly speaking, it represents the space of Cauchy data of the theory. Such space is equipped with a closed 2-form, whose kernel is often given by Hamiltonian vector fields generating (gauge) symmetries. The reduced phase space (RPS) is obtained as a symplectic manifold via quotienting the original phase space. In this talk, after a brief introduction and an example of RPS in a simple case, I will present the derivation (using a construction due to Kijowski and Tulcjiew) of the RPS of N=1 supergravity in dimension 4. If time allows, the corresponding BFV description is then carried out.''