Abstract

The extended superconformal algebra is studied extensively based on the super Toda field theory. At the classical level, it is realized as the Poisson bracket structure in the superdifferential operator which we call the super Miura transformation and the generators can be interpreted as the conserved currents of the integrable super Toda field theory associated with the particular class of Lie superalgebra. The quantization is performed by free field regularization and the superfield of the Toda field theory embodies the Coulomb gas representation. The unitary representations are obtained using the supercoset construction in the cases of simply laced Lie superalgebras.

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.