On the critical behaviour of the integrable qdeformed OSp(32) superspin chain
Abstract
This paper is concerned with the investigation of the massless regime of an integrable spin chain based on the quantum group deformation of the OSp (3  2) superalgebra. The finitesize properties of the eigenspectra are computed by solving the respective Bethe ansatz equations for large system sizes allowing us to uncover the lowlying critical exponents. We present evidences that critical exponents appear to be built in terms of composites of anomalous dimensions of two Coulomb gases with distinct radii and the exponents associated to Z (2) degrees of freedom. This view is supported by the fact that the S = 1 XXZ integrable chain spectrum is present in some of the sectors of our superspin chain at a particular value of the deformation parameter. We find that the fine structure of finitesize effects is very rich for a typical anisotropic spin chain. In fact, we argue on the existence of a family of states with the same conformal dimension whose lattice degeneracies are apparently lifted by logarithmic corrections. On the other hand we also report on states of the spectrum whose finitesize corrections seem to be governed by a power law behaviour. We finally observe that under toroidal boundary conditions the ground state dependence on the twist angle has two distinct analytical structures.
 Publication:

Nuclear Physics B
 Pub Date:
 September 2019
 DOI:
 10.1016/j.nuclphysb.2019.114697
 arXiv:
 arXiv:1906.00655
 Bibcode:
 2019NuPhB.94614697F
 Keywords:

 Condensed Matter  Statistical Mechanics;
 High Energy Physics  Theory
 EPrint:
 61 pages, 54 figures