Journal
JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 2, Pages -Publisher
SPRINGER
DOI: 10.1007/JHEP02(2021)191
Keywords
AdS-CFT Correspondence; Bethe Ansatz; Lattice Integrable Models
Categories
Funding
- EPSRC-SFI grant [EP/S020888/1]
- SFI [RGF\EA\181011, UF160578, RGF\EA\180167, 18/EPSRC/3590]
- Royal Society [RGF\EA\181011, UF160578, RGF\EA\180167, 18/EPSRC/3590]
- Science Foundation Ireland (SFI) [18/EPSRC/3590] Funding Source: Science Foundation Ireland (SFI)
- EPSRC [EP/S020888/1] Funding Source: UKRI
Ask authors/readers for more resources
This paper investigates the new models of integrable nearest-neighbour Hamiltonians introduced recently, and demonstrates their satisfaction of the free fermion condition. By recasting the transfer matrix in free fermion form, known results are greatly simplified and reinterpreted, providing a suggestive reformulation of the spectral problem in various situations.
In this paper we first demonstrate explicitly that the new models of integrable nearest-neighbour Hamiltonians recently introduced in PRL 125 (2020) 031604 [36] satisfy the so-called free fermion condition. This both implies that all these models are amenable to reformulations as free fermion theories, and establishes the universality of this condition. We explicitly recast the transfer matrix in free fermion form for arbitrary number of sites in the 6-vertex sector, and on two sites in the 8-vertex sector, using a Bogoliubov transformation. We then put this observation to use in lower-dimensional instances of AdS/CFT integrable R-matrices, specifically pure Ramond-Ramond massless and massive AdS(3), mixed-flux relativistic AdS(3) and massless AdS(2). We also attack the class of models akin to AdS(5) with our free fermion machinery. In all cases we use the free fermion realisation to greatly simplify and reinterpret a wealth of known results, and to provide a very suggestive reformulation of the spectral problem in all these situations.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available