Combinatorial solution of the eclectic spin chain
- 주제(키워드) AdS-CFT Correspondence , Integrable Field Theories , Lattice Integrable Models
- 등재 SCIE, SCOPUS
- OA유형 gold, Green Submitted
- 발행기관 Springer Science and Business Media Deutschland GmbH
- 발행년도 2022
- 총서유형 Journal
- URI http://www.dcollection.net/handler/ewha/000000190276
- 본문언어 영어
- Published As https://doi.org/10.1007/JHEP03(2022)028
초록/요약
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).
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