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BRST Cohomology in Quantum Affine Algebra $U q(\widehat{sl 2})$ by Konno, Hitoshi is a scholarly article available to read on EtoBox.

What is BRST Cohomology in Quantum Affine Algebra $U q(\widehat{sl 2})$ about?

Using free field representation of quantum affine algebra $U_q(\widehat{sl_2})$, we investigate the structure of the Fock modules over $U_q(\widehat{sl_2})$. The analisys is based on a $q$-analog of the BRST formalism given by Bernard and Felder in the affine Kac-Moody algebra $\widehat {sl_2}$. We give an explicit construction of the singular vectors using the BRST charge. By the same cohomology analysis as the classical case ($q=1$), we obtain the irreducible highest weight representation space as a nontrivial cohomology group. This enables us to calculate a trace of the $q$-vertex operators over this space.

Author

Konno, Hitoshi

Published

1993

Language

EN