Braids, link polynomials and transformations of solvable models
Journal Article
·
· International Journal of Modern Physics A; (USA)
- Inst. of Physics, College of Arts and Science, Univ. of Tokyo, Komba, Meguro-ku, Tokyo 153 (JP)
It is shown that braid matrices and link polynomials can be systematically constructed from exactly solvable models in statistical mechanics. Through symmetry breaking transformations, different braid matrices are derived from a solvable model. By associating the Markov traces with multi-variable representations, multi-variable link polynomials are obtained. Infinitesimal operators for braid matrices are constructed. Connection of our approach to the conformal field theories and the topical quantum field theory is discussed.
- OSTI ID:
- 6135738
- Journal Information:
- International Journal of Modern Physics A; (USA), Journal Name: International Journal of Modern Physics A; (USA) Vol. 5:11; ISSN 0217-751X; ISSN IMPAE
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
645300 -- High Energy Physics-- Particle Invariance Principles & Symmetries
645400* -- High Energy Physics-- Field Theory
657002 -- Theoretical & Mathematical Physics-- Classical & Quantum Mechanics
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CONFORMAL INVARIANCE
FIELD THEORIES
FUNCTIONS
INVARIANCE PRINCIPLES
MARKOV PROCESS
MATHEMATICS
MATRICES
POLYNOMIALS
QUANTUM FIELD THEORY
STOCHASTIC PROCESSES
SYMMETRY BREAKING
TOPOLOGY
645400* -- High Energy Physics-- Field Theory
657002 -- Theoretical & Mathematical Physics-- Classical & Quantum Mechanics
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CONFORMAL INVARIANCE
FIELD THEORIES
FUNCTIONS
INVARIANCE PRINCIPLES
MARKOV PROCESS
MATHEMATICS
MATRICES
POLYNOMIALS
QUANTUM FIELD THEORY
STOCHASTIC PROCESSES
SYMMETRY BREAKING
TOPOLOGY