Integrable quantum field theories with OSP\((m/2n)\) symmetries. (English) Zbl 0990.81055
Summary: We conjecture the factorized scattering description for OSP\((m/2n)\)/OSP\((m-1/2n)\) supersphere sigma models and OSP\((m/2n)\) Gross-Neveu models. The non-unitarity of these field theories translates into a lack of ‘physical unitarity’ of the S-matrices, which are instead unitary with respect to the non-positive scalar product inherited from the orthosymplectic structure. Nevertheless, we find that formal thermodynamic Bethe ansatz calculations appear meaningful, reproduce the correct central charges, and agree with perturbative calculations. This paves the way to a more thorough study of these and other models with supergroup symmetries using the S-matrix approach.
MSC:
| 81T10 | Model quantum field theories |
| 81T60 | Supersymmetric field theories in quantum mechanics |
| 82B23 | Exactly solvable models; Bethe ansatz |
| 81U20 | \(S\)-matrix theory, etc. in quantum theory |
Keywords:
factorized scattering description; supersphere sigma models; Gross-Neveu models; symplectic structure; thermodynamic Bethe ansatz; supergroup symmetries; S-matrixReferences:
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