Abstract
The minimal irreducible representations of U q [ gl( m| n)], i.e. those irreducible representations that are also irreducible under U q [ osp( m| n)] are investigated and shown to be affinizable to give irreducible representations of the twisted quantum affine superalgebra U q [ gl( m| n) (2)]. The U q [ osp( m| n)] invariant R-matrices corresponding to the tensor product of any two minimal representations are constructed, thus extending our twisted tensor product graph method to the supersymmetric case. These give new solutions to the spectral-dependent graded Yang–Baxter equation arising from U q [ gl( m| n) (2)], which exhibit novel features not previously seen in the untwisted or non-super cases.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.