Fock representations of Zamolodchikov algebras and R-matrices
Mathematical Physics
2020-04-22 v1 math.MP
Abstract
A variation of the Zamolodchikov-Faddeev algebra over a finite dimensional Hilbert space and an involutive unitary -Matrix is studied. This algebra carries a natural vacuum state, and the corresponding Fock representation spaces are shown to satisfy , where is the box-sum of (on ) and (on ). This analysis generalises the well-known structure of Bose/Fermi Fock spaces and a recent result of Pennig.\par It is also discussed to which extent the Fock representation depends on the underlying -matrix, and applications to quantum field theory (scaling limits of integrable models) are sketched.
Keywords
Cite
@article{arxiv.1909.13237,
title = {Fock representations of Zamolodchikov algebras and R-matrices},
author = {Gandalf Lechner and Charley Scotford},
journal= {arXiv preprint arXiv:1909.13237},
year = {2020}
}
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22 pages