Abstract

Using the method of projection operators, analytical formulas for Racah coefficients and 6-j symbols of the quantum superalgebra Uq(osp(1|2)) are derived. The formulas obtained by this method are transformed by means of algebraic identities into symmetrical analytical formulas, the form of which are very similar to the classical formulas obtained by Racah and Regge for su(2) Racah coefficients and 6-j symbols. Symmetry properties of Uq(osp(1|2)) Racah coefficients and 6-j symbols following from these analytical formulas are studied. In particular, it is shown that, similarly to the su(2) classical case, in addition to the usual tetrahedral symmetry, 6-j symbols of the quantum superalgebra Uq(osp(1|2)) satisfy a Regge type symmetry.

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call

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.