Generalized graphs and unitary irrational central charge in the superconformal master equation

Journal Article · Sun Dec 01 00:00:00 EST 1991 · Journal of Mathematical Physics (New York); (United States)

DOI:https://doi.org/10.1063/1.529483· OSTI ID:5126512

Halpern, M B; Obers, N A ^[1]

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1. Department of Physics, University of California, Berkeley, California (USA) Theoretical Physics Group, Lawrence Berkeley Laboratory, Berkeley, California (USA)

For each magic basis of Lie {ital g}, it is known that the Virasoro master equation on affine {ital g} contains a generalized graph theory of conformal level-families. In this paper, it is found that the superconformal master equation on affine {ital g}{times}SO(dim {ital g}) similarly contains a generalized graph theory of superconformal level-families for each magic basis of {ital g}. The superconformal level-families satisfy linear equations on the generalized graphs, and the first exact unitary irrational solutions of the superconformal master equation are obtained on the sine-area graphs of {ital g}=SU({ital n}), including the simplest unitary irrational central charges {ital c}=6{ital nx}/({ital nx}+8 sin{sup 2}(rs{pi}/n)) yet observed in the program.

• OSTI ID: 5126512
• Journal Information: Journal of Mathematical Physics (New York); (United States), Vol. 32:12; ISSN 0022-2488
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
LIE GROUPS
GRAPHS
ANALYTICAL SOLUTION
CHARGED CURRENTS
CONFORMAL INVARIANCE
CURRENT ALGEBRA
FERMIONS
FIELD THEORIES
UNITARY SYMMETRY
ALGEBRAIC CURRENTS
CURRENTS
INVARIANCE PRINCIPLES
SYMMETRY
SYMMETRY GROUPS
657002* - Theoretical & Mathematical Physics- Classical & Quantum Mechanics