Ward Identities and Characters of Kac-Moody Algebras

Journal Article · Tue Oct 31 23:00:00 EST 1989 · J.Phys.A

DOI:https://doi.org/10.1088/0305-4470/24/22/005· OSTI ID:2997675

Huang, Chao-Shang ^[1]; Zhang, De-Hai ^[2]

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1. Fermilab
2. CCAST World Lab, Beijing; Peking U.

The authors derive partial differential equations for characters of Kac-Moody algebras by using Ward identities for energy-momentum tensors and currents on a torus and the null vectors of current algebras. The solutions of the partial differential equations for affine algebras A(1)l, D(1)l, E(1)l (l=6, 7, 8) and B(1)l, at level one, are given.

• Research Organization: CCAST World Lab, Beijing; Fermi National Accelerator Laboratory (FNAL), Batavia, IL (United States); Peking U.
• Sponsoring Organization: US Department of Energy
• DOE Contract Number: AC02-07CH11359
• OSTI ID: 2997675
• Report Number(s): FERMILAB-PUB-89-241-T; oai:inspirehep.net:283540
• Journal Information: J.Phys.A, Journal Name: J.Phys.A Vol. 24
• Country of Publication: United States
• Language: English