Chiral Observables and Modular Invariants
Abstract
Various definitions of chiral observables in a given Möbius covariant two-dimensional (2D) theory are shown to be equivalent. Their representation theory in the vacuum Hilbert space of the 2D theory is studied. It shares the general characteristics of modular invariant partition functions, although SL(2, &Z;) transformation properties are not assumed. First steps towards a classification are made.
- Publication:
-
Communications in Mathematical Physics
- Pub Date:
- January 2000
- DOI:
- arXiv:
- arXiv:hep-th/9903262
- Bibcode:
- 2000CMaPh.208..689R
- Keywords:
-
- Hilbert Space;
- Partition Function;
- General Characteristic;
- Representation Theory;
- Transformation Property;
- High Energy Physics - Theory;
- Mathematical Physics;
- Mathematics - Operator Algebras
- E-Print:
- 28 pages, 1 figure