Fock representations of ZF algebras and R-matrices
Lechner G, Scotford C (2020)
Publication Type: Journal article
Publication year: 2020
Journal
Book Volume: 110
Pages Range: 1623-1643
Journal Issue: 7
DOI: 10.1007/s11005-020-01271-3
Abstract
A variation of the Zamolodchikov–Faddeev algebra over a finite-dimensional Hilbert space H and an involutive unitary R-Matrix S is studied. This algebra carries a natural vacuum state, and the corresponding Fock representation spaces FS(H) are shown to satisfy FS⊞R(H⊕ K) ≅ FS(H) ⊗ FR(K) , where S⊞ R is the box-sum of S (on H⊗ H) and R (on K⊗ K). This analysis generalises the well-known structure of Bose/Fermi Fock spaces and a recent result of Pennig. These representations are motivated from quantum field theory (short-distance scaling limits of integrable models).
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APA:
Lechner, G., & Scotford, C. (2020). Fock representations of ZF algebras and R-matrices. Letters in Mathematical Physics, 110(7), 1623-1643. https://doi.org/10.1007/s11005-020-01271-3
MLA:
Lechner, Gandalf, and Charley Scotford. "Fock representations of ZF algebras and R-matrices." Letters in Mathematical Physics 110.7 (2020): 1623-1643.
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