Skip to main content
U.S. Department of Energy
Office of Scientific and Technical Information

Conformal subalgebras of Kac-Moody algebras

Journal Article · · Phys. Rev. D; (United States)

We define a conformal subalgebra of a Kac-Moody algebra as a subalgebra which has the same Sugawara conformal generator as the algebra in which it is embedded. This guarantees the preservation of conformal invariance, for instance, in the recently proposed construction of bosonic strings with nonsimply laced gauge groups. We present a complete list of all such conformal subalgebras.

Research Organization:
CERN, Geneva, Switzerland
OSTI ID:
6982697
Journal Information:
Phys. Rev. D; (United States), Journal Name: Phys. Rev. D; (United States) Vol. 34:10; ISSN PRVDA
Country of Publication:
United States
Language:
English

Similar Records

Kac--Moody current algebras of D = 2 massless gauge theories, their representations and applications
Journal Article · Sat Feb 14 23:00:00 EST 1987 · Ann. Phys. (N.Y.); (United States) · OSTI ID:6732248

The weak Hopf algebras related to generalized Kac-Moody algebra
Journal Article · Thu Jun 15 00:00:00 EDT 2006 · Journal of Mathematical Physics · OSTI ID:20860484

SL(N) Kac-Moody algebras and Wess-Zumino-Witten models
Journal Article · Thu Feb 28 23:00:00 EST 1991 · Annals of Physics (New York); (United States) · OSTI ID:5614797