87 citations · 123 across the 8 of their papers we have counts for
8 papers
Spin goups of super metrics and a Theorem of Rogers
Ronald Fulp
We derive the canonical forms of super Riemannian metrics and the local isometry groups of such metrics. For certain super metrics we also compute the simply connected covering gro…
Infinite dimensional super Lie groups
James Cook, Ronald Fulp
A super Lie group is a group whose operations are mappings in the sense of Rogers. Thus the underlying supermanifold possesses an atlas whose transition functions are…
BRST Extension of Geometric Quantization
Ronald Fulp
Consider a physical system for which a mathematically rigorous geometric quantization procedure exists. Now subject the system to a finite set of irreducible first class (bosonic)…
Functionals and the Quantum Master Equation
Ronald Fulp
The quantum master equation is usually formulated in terms of functionals of the components of mappings from a space-time manifold M into a finite-dimensional vector space. The mas…
Canonical Transformations of Local Functionals and sh-Lie Structures
Samer S. Al-Ashhab, Ronald O. Fulp
In many Lagrangian field theories, there is a Poisson bracket on the space of local functionals. One may identify the fields of such theories as sections of a vector bundle. It is…
Noether's variational theorem II and the BV formalism
Ron Fulp, Tom Lada, Jim Stasheff
We review the basics of the Lagrangian approach to field theory and recast Noether's Second Theorem formulated in her language of dependencies using a slight modernization of termi…