Fock representations of ZF algebras and R-matrices

Lechner, Gandalf and Scotford, Charley 2020. Fock representations of ZF algebras and R-matrices. Letters in Mathematical Physics 110 , pp. 1623-1643. 10.1007/s11005-020-01271-3

Preview

PDF - Published Version Available under License Creative Commons Attribution. Download (402kB) | Preview

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).

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Mathematics
Publisher:	Springer Verlag (Germany)
ISSN:	0377-9017
Date of First Compliant Deposit:	9 March 2020
Date of Acceptance:	12 February 2020
Last Modified:	02 Jul 2020 08:55
URI:	http://orca-mwe.cf.ac.uk/id/eprint/130191

Available Versions of this Item

• Fock representations of Zamolodchikov algebras and R-matrices. (deposited 17 Oct 2019 10:00)
  • Fock representations of ZF algebras and R-matrices. (deposited 09 Mar 2020 11:00) [Currently Displayed]

Actions (repository staff only)

Edit Item