Magic bases, metric ansaetze and generalized graph theories in the Virasoro master equation

Journal Article · Fri Nov 15 00:00:00 EST 1991 · Annals of Physics (New York); (United States)

DOI:https://doi.org/10.1016/0003-4916(91)90371-E· OSTI ID:5370072

Halpern, M B; Obers, N A ^[1]

---

1. Univ. of California, Berkeley (United States)

The authors define a class of magic Lie group bases in which the Virasoro master equation admits a class of simple metric ansaetze (g{sub metric}), whose structure is visible in the high-level expansion. When a magic basis is real on compact g, the corresponding g{sub metric} is a large system of unitary, generically irrational conformal field theories. Examples in this class include the graph-theory ansatz SO(n){sub diag} in the Cartesian basis of So(n) and the ansatz SU(n){sub metric} in the Pauli-like basis of SU(n). A new phenomenon is observed in the high-level comparison of SU(n){sub metric}: Due to the trigonometric structure constants of the Pauli-like basis, irrational central charge is clearly visible at finite order of the expansion. They also define the sine-area graphs of SU(n), which label the conformal field theories of SU(n){sub metric} and note that, in a similar fashion, each magic basis of g defines a generalize graph theory on g which labels the conformal field theories of g{sub metric}.

• DOE Contract Number: AC03-76SF00098
• OSTI ID: 5370072
• Journal Information: Annals of Physics (New York); (United States), Vol. 212:1; ISSN 0003-4916
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
FIELD THEORIES
CURRENT ALGEBRA
COMPACTIFICATION
CONFORMAL GROUPS
EXPANSION
FERMIONS
FIELD ALGEBRA
LIE GROUPS
METRICS
STRING MODELS
COMPOSITE MODELS
EXTENDED PARTICLE MODEL
MATHEMATICAL MODELS
PARTICLE MODELS
QUARK MODEL
SYMMETRY GROUPS
662110* - General Theory of Particles & Fields- Theory of Fields & Strings- (1992-)