The deformed Virasoro algebra at roots of unity

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

Rate now

  [ 0.00 ] – not rated yet Voters 0   Comments 0


51 pages, TeX (with amssym.def)

Scientific paper


We discuss some aspects of the representation theory of the deformed Virasoro algebra $\virpq$. In particular, we give a proof of the formula for the Kac determinant and then determine the center of $\virpq$ for $q$ a primitive N-th root of unity. We derive explicit expressions for the generators of the center in the limit $t=qp^{-1}\to \infty$ and elucidate the connection to the Hall-Littlewood symmetric functions. Furthermore, we argue that for $q=\sqrtN{1}$ the algebra describes `Gentile statistics' of order $N-1$, i.e., a situation in which at most $N-1$ particles can occupy the same state.

No associations


Say what you really think

Search for scientists and scientific papers. Rate them and share your experience with other people.


The deformed Virasoro algebra at roots of unity 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 The deformed Virasoro algebra at roots of unity, we encourage you to share that experience with our community. Your opinion is very important and The deformed Virasoro algebra at roots of unity will most certainly appreciate the feedback.

Rate now


Profile ID: LFWR-SCP-O-615147

All data on this website is collected from public sources. Our data reflects the most accurate information available at the time of publication.