4 papers
Homotopy lattice gauge fields 1: The fields and their properties
Juan Orendain, Ivan Sanchez, José A. Zapata
We introduce homotopy lattice gauge fields (HLGFs), a version of gauge fields over a discretized base, based on a notion of higher parallel transport that enriches the usual parall…
FALSE: The EPRL amplitude is supported on flat connections
Carlos E. Beltrán, José A. Zapata
There is an error in our recent preprint ``The EPRL amplitude is supported on flat connections''. The error is in Section 3. Here we leave the original text unchanged, but add a no…
A better space of generalized connections
Juan Orendain, Jose A. Zapata
Given a base manifold and a Lie group , we define a space of generalized -connections on with the following properties: - The space of smooth conne…
Higher homotopy and lattice gauge fields
Juan Orendain, Jose Antonio Zapata
We present a general formalism for higher dimensional versions of lattice gauge fields based on higher strict homotopy groupoids. First, using the language of nonabelian Algebraic…