Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1994-04-19
Phys.Lett. B332 (1994) 51-60
Physics
High Energy Physics
High Energy Physics - Theory
13 pages (plain TeX); BONN-TH-94-01, DFTT-15/94
Scientific paper
10.1016/0370-2693(94)90857-5
We show that quantum Casimir W-algebras truncate at degenerate values of the central charge c to a smaller algebra if the rank is high enough: Choosing a suitable parametrization of the central charge in terms of the rank of the underlying simple Lie algebra, the field content does not change with the rank of the Casimir algebra any more. This leads to identifications between the Casimir algebras themselves but also gives rise to new, `unifying' W-algebras. For example, the kth unitary minimal model of WA_n has a unifying W-algebra of type W(2,3,...,k^2 + 3 k + 1). These unifying W-algebras are non-freely generated on the quantum level and belong to a recently discovered class of W-algebras with infinitely, non-freely generated classical counterparts. Some of the identifications are indicated by level-rank-duality leading to a coset realization of these unifying W-algebras. Other unifying W-algebras are new, including e.g. algebras of type WD_{-n}. We point out that all unifying quantum W-algebras are finitely, but non-freely generated.
Blumenhagen Ralph
Eholzer Wolgang
Honecker Andreas
Hornfeck K.
Huebel R.
No associations
LandOfFree
Unifying W-Algebras 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 Unifying W-Algebras, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Unifying W-Algebras will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-630094