Abstract
In this paper, we introduce an N×N matrix εab̄ in the quantum groups SUq(N) to transform the conjugate representation into the standard form so that we are able to compute the explicit forms of the important quantities in the bicovariant differential calculus on SUq(N), such as the q-deformed structure constant CKIJ and the q-deformed transposition operator Λ. From the q-gauge covariant condition we study the generalized q-deformed Killing form and construct the mth q-deformed Chern class Pm for the quantum groups SUq(N). In terms of the q-deformed homotopy operator we are able to compute the q-deformed Chern–Simons Q2m−1 by the condition dQ2m−1=Pm. Furthermore, the q-deformed cocycle hierarchy, the q-deformed gauge covariant Lagrangian, and the q-deformed Yang–Mills equation are derived.
Sign-in/Register to access full text options 
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 callDisclaimer: 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.
