Details
| Original language | English |
|---|---|
| Article number | 116269 |
| Number of pages | 32 |
| Journal | Nuclear Physics, Section B |
| Volume | 993 |
| Early online date | 16 Jun 2023 |
| Publication status | Published - Aug 2023 |
Abstract
The subject matter of this work is a 1D quantum spin - [Formula presented] chain associated with the inhomogeneous six-vertex model possessing an additional Z r symmetry. The model is studied in a certain parametric domain, where it is critical. Within the ODE/IQFT approach, a class of ordinary differential equations and a quantization condition are proposed which describe the scaling limit of the system. Some remarkable features of the CFT underlying the critical behaviour are observed. Among them is an infinite degeneracy of the conformal primary states and the presence of a continuous component in the spectrum in the case of even r.
Keywords
- hep-th, cond-mat.stat-mech, math-ph, math.MP, math.QA
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Nuclear and High Energy Physics
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In: Nuclear Physics, Section B, Vol. 993, 116269, 08.2023.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - On the scaling behaviour of an integrable spin chain with Zr symmetry
AU - Kotousov, Gleb A.
AU - Lukyanov, Sergei L.
N1 - The research of GK is supported by the Deutsche Forschungsgemeinschaft under grant No. Fr 737/9-2. The final part of this work was carried out during GK's visit to the NHETC at Rutgers University. He is grateful for the support and hospitality he received during the stay. The research of SL is partially funded by the NSF under grant number NSF-PHY-2210187.
PY - 2023/8
Y1 - 2023/8
N2 - The subject matter of this work is a 1D quantum spin - [Formula presented] chain associated with the inhomogeneous six-vertex model possessing an additional Z r symmetry. The model is studied in a certain parametric domain, where it is critical. Within the ODE/IQFT approach, a class of ordinary differential equations and a quantization condition are proposed which describe the scaling limit of the system. Some remarkable features of the CFT underlying the critical behaviour are observed. Among them is an infinite degeneracy of the conformal primary states and the presence of a continuous component in the spectrum in the case of even r.
AB - The subject matter of this work is a 1D quantum spin - [Formula presented] chain associated with the inhomogeneous six-vertex model possessing an additional Z r symmetry. The model is studied in a certain parametric domain, where it is critical. Within the ODE/IQFT approach, a class of ordinary differential equations and a quantization condition are proposed which describe the scaling limit of the system. Some remarkable features of the CFT underlying the critical behaviour are observed. Among them is an infinite degeneracy of the conformal primary states and the presence of a continuous component in the spectrum in the case of even r.
KW - hep-th
KW - cond-mat.stat-mech
KW - math-ph
KW - math.MP
KW - math.QA
UR - http://www.scopus.com/inward/record.url?scp=85163531123&partnerID=8YFLogxK
U2 - 10.1016/j.nuclphysb.2023.116269
DO - 10.1016/j.nuclphysb.2023.116269
M3 - Article
VL - 993
JO - Nuclear Physics, Section B
JF - Nuclear Physics, Section B
SN - 0550-3213
M1 - 116269
ER -