Alberto S. Cattaneo

BV pushforward of Palatini–Cartan gravity

Abstract The goal of this note is to show that the standard BV formulation of gravity in the Palatini–Cartan formalism is equivalent, using a BV pushforward, to an AKSZ-like version compatible with BFV data on the boundary.

Surface Observables, 2-Knot Invariants, and Nonabelian Electric Fluxes

Abstract This work introduces a surface observable for nonabelian four-dimensional BF theory with a cosmological term. The surface observable yields new 2-knot invariants that may extend beyond known examples such as the Alexander invariant. By BV pushforward, the surface observa...