Unitary irrational central charge on compact g: High-level analysis and SU(3) BASIC#

A high-level expansion of the Virasoro master equation is developed as a tool for the systematic study of affine-Virasoro space. As an example, the expansion is applied to see all the (high- k smooth) unitary solutions on SU(3) in the basic ansatz. Moreover, structural clues provided by the expansio...

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Published inNuclear physics. B Vol. 345; no. 2; pp. 607 - 644
Main Authors Halpern, M.B., Obers, N.A.
Format Journal Article
LanguageEnglish
Published Amsterdam Elsevier B.V 03.12.1990
Elsevier
Subjects
Classical and quantum physics: mechanics and fields
Exact sciences and technology
Physics
Master equation
Virasoro algebra
SU group
Symmetry
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Summary:A high-level expansion of the Virasoro master equation is developed as a tool for the systematic study of affine-Virasoro space. As an example, the expansion is applied to see all the (high- k smooth) unitary solutions on SU(3) in the basic ansatz. Moreover, structural clues provided by the expansion enable us to find the exact form of all the (high- k smooth) unitary irrational solutions, (SU(3) x ) BASIC #, in the basic ansatz.
ISSN:0550-3213
1873-1562
DOI:10.1016/0550-3213(90)90402-Y