Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1993-07-06
Nucl.Phys. B414 (1994) 348-378
Physics
High Energy Physics
High Energy Physics - Theory
28 pages (Plain TeX), BONN-HE-93-05
Scientific paper
10.1016/0550-3213(94)90434-0
We prove a generalization of the Verlinde formula to fermionic rational conformal field theories. The fusion coefficients of the fermionic theory are equal to sums of fusion coefficients of its bosonic projection. In particular, fusion coefficients of the fermionic theory connecting two conjugate Ramond fields with the identity are either one or two. Therefore, one is forced to weaken the axioms of fusion algebras for fermionic theories. We show that in the special case of fermionic W(2,d)-algebras these coefficients are given by the dimensions of the irreducible representations of the horizontal subalgebra on the highest weight. As concrete examples we discuss fusion algebras of rational models of fermionic W(2,d)-algebras including minimal models of the $N=1$ super Virasoro algebra as well as $N=1$ super W-algebras SW(3/2,d).
Eholzer Wolfgang
Hübel Ralf
No associations
LandOfFree
Fusion Algebras of Fermionic Rational Conformal Field Theories via a Generalized Verlinde Formula 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 Fusion Algebras of Fermionic Rational Conformal Field Theories via a Generalized Verlinde Formula, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Fusion Algebras of Fermionic Rational Conformal Field Theories via a Generalized Verlinde Formula will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-87807