Scaling limit of the staggered sixvertex model with Uq(sl(2)) invariant boundary conditions
 authored by
 Holger Frahm, Sascha Gehrmann, Gleb Andreevich Kotousov
 Abstract
We study the scaling limit of a statistical system, which is a special case of the integrable inhomogeneous sixvertex 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 sixvertex 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 zprojection of the total spin operator being equal to zero.
 Organisation(s)

Institute of Theoretical Physics
 Type
 Preprint
 No. of pages
 33
 Publication date
 18.12.2023
 Publication status
 Epub ahead of print
 ASJC Scopus subject areas
 Nuclear and High Energy Physics, Condensed Matter Physics, Mathematical Physics
 Electronic version(s)

https://doi.org/10.48550/arXiv.2312.11238 (Access:
Open)