The integrable (hyper)eclectic spin chain
- 주제(키워드) AdS-CFT Correspondence , Bethe Ansatz , Integrable Field Theories
- 등재 SCIE, SCOPUS
- OA유형 gold, Green Submitted
- 발행기관 Springer Science and Business Media Deutschland GmbH
- 발행년도 2021
- 총서유형 Journal
- URI http://www.dcollection.net/handler/ewha/000000175712
- 본문언어 영어
- Published As http://dx.doi.org/10.1007/JHEP02(2021)019
- 저작권 이화여자대학교 논문은 저작권에 의해 보호받습니다.
초록/요약
We refine the notion of eclectic spin chains introduced in [1] by including a maximal number of deformation parameters. These models are integrable, nearest-neighbor n-state spin chains with exceedingly simple non-hermitian Hamiltonians. They turn out to be non-diagonalizable in the multiparticle sector (n > 2), where their “spectrum” consists of an intricate collection of Jordan blocks of arbitrary size and multiplicity. We show how and why the quantum inverse scattering method, sought to be universally applicable to integrable nearest-neighbor spin chains, essentially fails to reproduce the details of this spectrum. We then provide, for n=3, detailed evidence by a variety of analytical and numerical techniques that the spectrum is not “random”, but instead shows surprisingly subtle and regular patterns that moreover exhibit universality for generic deformation parameters. We also introduce a new model, the hypereclectic spin chain, where all parameters are zero except for one. Despite the extreme simplicity of its Hamiltonian, it still seems to reproduce the above “generic” spectra as a subset of an even more intricate overall spectrum. Our models are inspired by parts of the one-loop dilatation operator of a strongly twisted, double-scaled deformation of N = 4 Super Yang-Mills Theory. © 2021, The Author(s).
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