Factorization Algebras for Bulk-Boundary Systems
arXiv:2111.01757
Abstract
Costello and Gwilliam have given both 1) a general definition of perturbative quantum gauge theory on a manifold M and 2) a construction of a factorization algebra of quantum observables assigned to every quantum gauge theory. In this dissertation, we extend these constructions to a certain general class of field theories on manifolds with boundary.
arXiv commentChapter 2 is a version of arXiv:2008.04953. Chapter 3 is a version of arXiv:2001.07888, which is joint with Owen Gwilliam and Brian Williams
References in corpus (16)
- Observation of a new particle in the search for the Standard Model Higgs boson with the ATLAS detector at the LHC
- Deformation quantization of Poisson manifolds, I
- The Geometry of the Master Equation and Topological Quantum Field Theory
- Topological boundary conditions in abelian Chern-Simons theory
- On the perturbation lemma, and deformations
- Renormalisation and the Batalin-Vilkovisky formalism
- Topological Chern-Simons/Matter Theories
- On the B-twisted topological sigma model and Calabi-Yau geometry
- Braces and Poisson additivity
- Kontsevich's Swiss Cheese Conjecture
- Equivariant Batalin-Vilkovisky formalism
- Degenerate Classical Field Theories and Boundary Theories
- Vertex Algebras and Costello-Gwilliam Factorization Algebras
- Heat Kernel Renormalization on Manifolds with Boundary
- Peetre-Slovák's theorem revisited
- Factorization Algebras for Classical Bulk-Boundary Systems