Spectral flow for an integrable staggered superspin chain

Abstract

The flow of the low energy eigenstates of a $U_q[sl(2|1)]$ superspin chain with alternating fundamental ($3$) and dual ($\bar{3}$) representations is studied as function of a twist angle determining the boundary conditions. The finite size spectrum is characterized in terms of scaling dimensions and quasi momenta representing the two families of commuting transfer matrices for the model which are even and odd under the interchange $3\leftrightarrow \bar{3}$, respectively. Based on the extrapolation of our finite size data we find that under a variation of the boundary conditions from periodic to antiperiodic for the fermionic degrees of freedom levels from the continuous part of the spectrum flow into discrete levels and vice versa.

12 pages, 3 figures

References in corpus (6)

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Cited by in corpus (8)

• Finite size spectrum of the staggered six-vertex model with $U_q(\mathfrak{sl}(2))$-invariant boundary conditions
• Integrable boundary conditions for staggered vertex models
• The fine structure of the finite-size effects for the spectrum of the $OSp(n|2m)$ spin chain
• On the critical behaviour of the integrable $q$-deformed $OSp(3|2)$ superspin chain
• $OSp(n|2m)$ quantum chains with free boundaries
• The $D_3^{(2)}$ spin chain and its finite-size spectrum
• Quantum-group-invariant $D_{n+1}^{(2)}$ models: Bethe ansatz and finite-size spectrum
• Quantum Integrability and Quantum Groups: a special issue in memory of Petr P. Kulish