An Algebraic role for energy and number operators for multiparticle states
Dec 30, 199119 pages
Published in:
- Nucl.Phys.B 389 (1993) 349-364
Report number:
- LA-UR-91-3562
View in:
Citations per year
Abstract: (Elsevier)
The role of the hamiltonian in the symmetry structure of a two-dimensional conformal field theory is reviewed in the context of Kac-Moody algebras. We explore a natural way to extend a Kac-Moody algebra to include the hamiltonian and number (or level operator in conformal field theory) operators in a generalized symmetry. In particular, both operators may be in the Cartan subalgebra of one of the recently discovered Borcherds algebras. Several representations of Borcherds algebras are computed to show their typical features. We study the extension of affine su(2) to a Borcherds algebra in some detail, and explicitly demonstrate the above claims.- field theory: conformal
- dimension: 2
- Hamiltonian formalism
- algebra: Kac-Moody
- algebra: representation
- algebra: Borcherds
References(2)
Figures(0)