BRST Cohomology in Quantum Affine Algebra $U_q(\widehat{sl_2})$

Details BRST Cohomology in Quantum Affine Algebra $U_q(\widehat{sl_2})$ BRST Cohomology in Quantum Affine Algebra $U_q(\widehat{sl_2})$

1993-10-18

arxiv.org/abs/hep-th/9310108v1

Mod.Phys.Lett.A9:1253-1266,1994

Physics

High Energy Physics

High Energy Physics - Theory

14 pages, RIMS-927

Scientific paper

10.1142/S0217732394001076

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.

Affiliated with

Also associated with

No associations

Rating

BRST Cohomology in Quantum Affine Algebra $U_q(\widehat{sl_2})$ does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with BRST Cohomology in Quantum Affine Algebra $U_q(\widehat{sl_2})$, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and BRST Cohomology in Quantum Affine Algebra $U_q(\widehat{sl_2})$ will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-637238