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자연과학대학
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Combinatorial solution of the eclectic spin chain
Title
Combinatorial solution of the eclectic spin chain
Authors
Ahn C.
;
Corcoran L.
;
Staudacher M.
Ewha Authors
안창림
;
Matthias Walter Staudacher
SCOPUS Author ID
안창림
; Matthias Walter Staudacher
Issue Date
2022
Journal Title
Journal of High Energy Physics
ISSN
1029-8479
Citation
Journal of High Energy Physics vol. 2022, no. 3
Keywords
AdS-CFT Correspondence
;
Integrable Field Theories
;
Lattice Integrable Models
Publisher
Springer Science and Business Media Deutschland GmbH
Indexed
SCIE; SCOPUS
Document Type
Article
Abstract
The one-loop dilatation operator in the holomorphic 3-scalar sector of the dynamical fishnet theory is studied. Due to the non-unitary nature of the underlying field theory this operator, dubbed in [1] the eclectic spin chain Hamiltonian, is non-diagonalisable. The corresponding spectrum of Jordan blocks leads to logarithms in the two-point functions, which is characteristic of logarithmic conformal field theories. It was conjectured in [2] that for certain filling conditions and generic couplings the spectrum of the eclectic model is equivalent to the spectrum of a simpler model, the hypereclectic spin chain. We provide further evidence for this conjecture, and introduce a generating function which fully characterises the Jordan block spectrum of the simplified model. This function is found by purely combinatorial means and is simply related to the q-binomial coefficient. © 2022, The Author(s).
DOI
10.1007/JHEP03(2022)028
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