Details
| Original language | English |
|---|---|
| Article number | 149 |
| Number of pages | 34 |
| Journal | SciPost Physics |
| Volume | 16 |
| Issue number | 6 |
| Early online date | 18 Dec 2023 |
| Publication status | Published - 5 Jun 2024 |
Abstract
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Nuclear and High Energy Physics
- Physics and Astronomy(all)
- Condensed Matter Physics
- Mathematics(all)
- Mathematical Physics
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In: SciPost Physics, Vol. 16, No. 6, 149, 05.06.2024.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Scaling limit of the staggered six-vertex model with \(U_q(\mathfrak{sl}(2))\) invariant boundary conditions
AU - Frahm, Holger
AU - Gehrmann, Sascha
AU - Kotousov, Gleb Andreevich
N1 - Publisher Copyright: Copyright H. Frahm et al.
PY - 2024/6/5
Y1 - 2024/6/5
N2 - We study the scaling limit of a statistical system, which is a special case of the integrable inhomogeneous six-vertex model. It possesses \(U_q(\mathfrak{sl}(2))\) invariance due to the choice of open boundary conditions imposed. An interesting feature of the lattice theory is that the spectrum of scaling dimensions contains a continuous component. By applying the ODE/IQFT correspondence and the method of the Baxter \(Q\) operator the corresponding density of states is obtained. In addition, the partition function appearing in the scaling limit of the lattice model is computed, which may be of interest for the study of nonrational CFTs in the presence of boundaries. As a side result of the research, a simple formula for the matrix elements of the \(Q\) operator for the general, integrable, inhomogeneous six-vertex model was discovered, that has not yet appeared in the literature. It is valid for a certain one parameter family of diagonal open boundary conditions in the sector with the z-projection of the total spin operator being equal to zero.
AB - We study the scaling limit of a statistical system, which is a special case of the integrable inhomogeneous six-vertex model. It possesses \(U_q(\mathfrak{sl}(2))\) invariance due to the choice of open boundary conditions imposed. An interesting feature of the lattice theory is that the spectrum of scaling dimensions contains a continuous component. By applying the ODE/IQFT correspondence and the method of the Baxter \(Q\) operator the corresponding density of states is obtained. In addition, the partition function appearing in the scaling limit of the lattice model is computed, which may be of interest for the study of nonrational CFTs in the presence of boundaries. As a side result of the research, a simple formula for the matrix elements of the \(Q\) operator for the general, integrable, inhomogeneous six-vertex model was discovered, that has not yet appeared in the literature. It is valid for a certain one parameter family of diagonal open boundary conditions in the sector with the z-projection of the total spin operator being equal to zero.
UR - http://www.scopus.com/inward/record.url?scp=85195835431&partnerID=8YFLogxK
U2 - 10.21468/SciPostPhys.16.6.149
DO - 10.21468/SciPostPhys.16.6.149
M3 - Article
VL - 16
JO - SciPost Physics
JF - SciPost Physics
IS - 6
M1 - 149
ER -