Algebraic formulation of duality
Two dimensional lattice spin (chiral) models over (possibly non-abelian) compact groups are formulated in terms of a generalized Pauli algebra. Such models over cyclic groups are written in terms of the generalized Clifford algebra. An automorphism of this algebra is shown to exist and to lead to the duality transformation.
- Research Organization:
- Syracuse Univ., NY (USA). Dept. of Physics
- Sponsoring Organization:
- USDOE
- DOE Contract Number:
- AS02-76ER03533
- OSTI ID:
- 6183385
- Report Number(s):
- DOE/ER/03533-189; COO-3533-189; SU-4217-189; ON: DE81025968
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
656000* -- Condensed Matter Physics
658000 -- Mathematical Physics-- (-1987)
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
CHIRALITY
CLIFFORD ALGEBRA
CRYSTAL MODELS
DUALITY
ISING MODEL
MATHEMATICAL MODELS
PARTICLE PROPERTIES
TWO-DIMENSIONAL CALCULATIONS
658000 -- Mathematical Physics-- (-1987)
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
CHIRALITY
CLIFFORD ALGEBRA
CRYSTAL MODELS
DUALITY
ISING MODEL
MATHEMATICAL MODELS
PARTICLE PROPERTIES
TWO-DIMENSIONAL CALCULATIONS