Vertex Algebras in Higher Dimensions and Globally Conformal Invariant Quantum Field Theory
Abstract
We propose an extension of the definition of vertex algebras in arbitrary space-time dimensions together with their basic structure theory. A one-to-one correspondence between these vertex algebras and axiomatic quantum field theory (QFT) with global conformal invariance (GCI) is constructed.
- Publication:
-
Communications in Mathematical Physics
- Pub Date:
- February 2005
- DOI:
- arXiv:
- arXiv:hep-th/0307235
- Bibcode:
- 2005CMaPh.253..283N
- Keywords:
-
- Neural Network;
- Statistical Physic;
- Complex System;
- Quantum Field Theory;
- Nonlinear Dynamics;
- High Energy Physics - Theory;
- Mathematical Physics;
- Mathematics - Mathematical Physics;
- Mathematics - Quantum Algebra
- E-Print:
- 40 pages. Corrections: changes in the Introduction