Fermionic Basis in Conformal Field Theory and Thermodynamic Bethe Ansatz for Excited States II
We consider the XXZ spin chain in the scaling limit in the Matsubara direction. The main result of this paper is new representations for the functions Ψ(, κ) and Θ(, ; κ, α) associated with the function ω(ζ, ξ; κ, κ) found in the expression for the correlation function of the generators of the fermi...
Збережено в:
| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Дата: | 2025 |
| Автори: | , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут математики НАН України
2025
|
| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/212881 |
| Теги: |
Додати тег
Немає тегів, Будьте першим, хто поставить тег для цього запису!
|
| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Fermionic Basis in Conformal Field Theory and Thermodynamic Bethe Ansatz for Excited States II. Sergei Adler and Hermann Boos. SIGMA 21 (2025), 010, 21 pages |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862741566282530816 |
|---|---|
| author | Adler, Sergei Boos, Hermann |
| author_facet | Adler, Sergei Boos, Hermann |
| citation_txt | Fermionic Basis in Conformal Field Theory and Thermodynamic Bethe Ansatz for Excited States II. Sergei Adler and Hermann Boos. SIGMA 21 (2025), 010, 21 pages |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | We consider the XXZ spin chain in the scaling limit in the Matsubara direction. The main result of this paper is new representations for the functions Ψ(, κ) and Θ(, ; κ, α) associated with the function ω(ζ, ξ; κ, κ) found in the expression for the correlation function of the generators of the fermionic basis for the XXZ spin chain. The final result incorporates the case of particle-hole excitations, which is needed for the relation of the fermionic basis to the Virasoro basis of the CFT descendants.
|
| first_indexed | 2026-03-21T18:31:25Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-212881 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2026-03-21T18:31:25Z |
| publishDate | 2025 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Adler, Sergei Boos, Hermann 2026-02-13T13:50:20Z 2025 Fermionic Basis in Conformal Field Theory and Thermodynamic Bethe Ansatz for Excited States II. Sergei Adler and Hermann Boos. SIGMA 21 (2025), 010, 21 pages 1815-0659 2020 Mathematics Subject Classification: 82B20; 82B21; 82B23; 81T40; 81Q80 arXiv:2312.15522 https://nasplib.isofts.kiev.ua/handle/123456789/212881 https://doi.org/10.3842/SIGMA.2025.010 We consider the XXZ spin chain in the scaling limit in the Matsubara direction. The main result of this paper is new representations for the functions Ψ(, κ) and Θ(, ; κ, α) associated with the function ω(ζ, ξ; κ, κ) found in the expression for the correlation function of the generators of the fermionic basis for the XXZ spin chain. The final result incorporates the case of particle-hole excitations, which is needed for the relation of the fermionic basis to the Virasoro basis of the CFT descendants. SA and HB acknowledge financial support from the DFG in the framework of the research unit FOR 2316 and through project BO 3401/8-1. The authors would like to thank F. Smirnov for explaining his result for the case of different parameters κ and κ′ at the free fermion point. The authors would also like to thank the anonymous referees for their valuable contributions in improving the paper. HB would also like to thank S. Lukyanov for stimulating discussions. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Fermionic Basis in Conformal Field Theory and Thermodynamic Bethe Ansatz for Excited States II Article published earlier |
| spellingShingle | Fermionic Basis in Conformal Field Theory and Thermodynamic Bethe Ansatz for Excited States II Adler, Sergei Boos, Hermann |
| title | Fermionic Basis in Conformal Field Theory and Thermodynamic Bethe Ansatz for Excited States II |
| title_full | Fermionic Basis in Conformal Field Theory and Thermodynamic Bethe Ansatz for Excited States II |
| title_fullStr | Fermionic Basis in Conformal Field Theory and Thermodynamic Bethe Ansatz for Excited States II |
| title_full_unstemmed | Fermionic Basis in Conformal Field Theory and Thermodynamic Bethe Ansatz for Excited States II |
| title_short | Fermionic Basis in Conformal Field Theory and Thermodynamic Bethe Ansatz for Excited States II |
| title_sort | fermionic basis in conformal field theory and thermodynamic bethe ansatz for excited states ii |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/212881 |
| work_keys_str_mv | AT adlersergei fermionicbasisinconformalfieldtheoryandthermodynamicbetheansatzforexcitedstatesii AT booshermann fermionicbasisinconformalfieldtheoryandthermodynamicbetheansatzforexcitedstatesii |