On non-stationary Lamé equation from WZW model and spin-1/2 XYZ chain
Abstrak
A bstractWe study the link between WZW model and the spin-1/2 XYZ chain. This is achieved by comparing the second-order differential equations from them. In the former case, the equation is the Ward-Takahashi identity satisfied by one-point toric conformal blocks. In the latter case, it arises from Baxter’s TQ relation. We find that the dimension of the representation space w.r.t. the V-valued primary field in these conformal blocks gets mapped to the total number of chain sites. By doing so, Stroganov’s “The importance of being odd” (cond-mat/0012035) can be consistently understood in terms of WZW model language. We fisrt confirm this correspondence by taking a trigonometric limit of the XYZ chain. That eigenstates of the resultant two-body Sutherland model from Baxter’s TQ relation can be obtained by deforming toric conformal blocks supports our proposal.
Topik & Kata Kunci
Penulis (3)
K. Motegi
Ta-Sheng Tai
R. Yoshioka
Akses Cepat
- Tahun Terbit
- 2012
- Bahasa
- en
- Total Sitasi
- 1×
- Sumber Database
- Semantic Scholar
- DOI
- 10.1007/JHEP06(2012)121
- Akses
- Open Access ✓