A lattice approach to the conformal $\OSp(2S+2|2S)$ supercoset sigma model. Part II: The boundary spectrum

TL;DR

This paper analyzes the boundary spectrum of the $OSp(2S+2|2S)$ supercoset sigma model using lattice regularization, spin chain results, and theoretical calculations, proposing a conjecture for the full spectrum and degeneracies.

Contribution

It introduces a conjecture for the boundary spectrum and degeneracies of the $OSp(2S+2|2S)$ sigma model based on lattice and analytical methods, extending previous work.

Findings

Conjectured the full boundary spectrum and degeneracies.

Linked the sigma model to the $OSp(2S+2|2S)$ Gross-Neveu model.

Provided analytical and lattice-based evidence for the spectrum.

Abstract

We consider the partition function of the boundary $OSp(2S+2|2S)$ coset sigma model on an annulus, based on the lattice regularization introduced in the companion paper. Using results for the action of $OSp(2S+2|2S)$ and $B_L(2)$ on the corresponding spin chain, as well as mini-superspace and small $g_\sigma^2$ calculations, we conjecture the full spectrum and set of degeneracies on the entire critical line. Potential relationship with the $OSp(2S+2|2S)$ Gross-Neveu model is also discussed.