Spectrum of the hypereclectic spin chain and Pólya counting
In earlier work we proposed a generating function that encodes the Jordan block spectrum of the integrable Hypereclectic spin chain, related to the one-loop dilatation operator of the dynamical fishnet quantum field theory. We significantly improve the expressions for these generating functions, ren...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Elsevier
2022-12-01
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| Series: | Physics Letters B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0370269322006670 |
| _version_ | 1811320251929853952 |
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| author | Changrim Ahn Matthias Staudacher |
| author_facet | Changrim Ahn Matthias Staudacher |
| author_sort | Changrim Ahn |
| collection | DOAJ |
| description | In earlier work we proposed a generating function that encodes the Jordan block spectrum of the integrable Hypereclectic spin chain, related to the one-loop dilatation operator of the dynamical fishnet quantum field theory. We significantly improve the expressions for these generating functions, rendering them much more explicit and elegant. In particular, we treat the case of the full spin chain without imposing any cyclicity constraints on the states, as well as the case of cyclic states. The latter involves the Pólya enumeration theorem in conjunction with q-binomial coefficients. |
| first_indexed | 2024-04-13T12:56:37Z |
| format | Article |
| id | doaj.art-6ff430f23e204b4a94505e0950c74c23 |
| institution | Directory Open Access Journal |
| issn | 0370-2693 |
| language | English |
| last_indexed | 2024-04-13T12:56:37Z |
| publishDate | 2022-12-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Physics Letters B |
| spelling | doaj.art-6ff430f23e204b4a94505e0950c74c232022-12-22T02:46:02ZengElsevierPhysics Letters B0370-26932022-12-01835137533Spectrum of the hypereclectic spin chain and Pólya countingChangrim Ahn0Matthias Staudacher1Department of Physics, Ewha Womans University, 52 Ewhayeodae-gil, Seodaemun-gu, Seoul 03760, South Korea; Corresponding author.Institut für Physik, Humboldt-Universität zu Berlin, Zum Großen Windkanal 2, 12489 Berlin, GermanyIn earlier work we proposed a generating function that encodes the Jordan block spectrum of the integrable Hypereclectic spin chain, related to the one-loop dilatation operator of the dynamical fishnet quantum field theory. We significantly improve the expressions for these generating functions, rendering them much more explicit and elegant. In particular, we treat the case of the full spin chain without imposing any cyclicity constraints on the states, as well as the case of cyclic states. The latter involves the Pólya enumeration theorem in conjunction with q-binomial coefficients.http://www.sciencedirect.com/science/article/pii/S0370269322006670 |
| spellingShingle | Changrim Ahn Matthias Staudacher Spectrum of the hypereclectic spin chain and Pólya counting Physics Letters B |
| title | Spectrum of the hypereclectic spin chain and Pólya counting |
| title_full | Spectrum of the hypereclectic spin chain and Pólya counting |
| title_fullStr | Spectrum of the hypereclectic spin chain and Pólya counting |
| title_full_unstemmed | Spectrum of the hypereclectic spin chain and Pólya counting |
| title_short | Spectrum of the hypereclectic spin chain and Pólya counting |
| title_sort | spectrum of the hypereclectic spin chain and polya counting |
| url | http://www.sciencedirect.com/science/article/pii/S0370269322006670 |
| work_keys_str_mv | AT changrimahn spectrumofthehypereclecticspinchainandpolyacounting AT matthiasstaudacher spectrumofthehypereclecticspinchainandpolyacounting |