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

arXiv comment32 pages, 7 figures

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• Scattering and duality in the 2 dimensional OSP(2|2) Gross Neveu and sigma models
• Conformal superspace sigma-models
• Continuum Limit of gl(M/N) Spin Chains
• On the Spectrum of Superspheres
• Superspace Parafermions
• Anomalous Dimensions in Deformed WZW Models on Supergroups
• Non-chiral current algebras for deformed supergroup WZW models
• Yangian Superalgebras in Conformal Field Theory
• Spectra of Coset Sigma Models
• Spontaneous symmetry breaking in 2D supersphere sigma models and applications to intersecting loop soups