Modular Invariant Partition Functions and Method of Shift Vector

Details Modular Invariant Partition Functions and Method of Shift Vector Modular Invariant Partition Functions and Method of Shift Vector

1993-01-06

arxiv.org/abs/hep-th/9301016v1

J.Math.Phys. 35 (1994) 237-254

Physics

High Energy Physics

High Energy Physics - Theory

28 pages, Plaintex file, BONN-HE-93-1, SUTDP/93/71/1

Scientific paper

10.1063/1.530770

Using shift vector method we obtain a large class of self-dual lattices of dimension $(l,l)$, which has a one to one correspondence with modular invariants of free bosonic theory compactified on co-root lattice of a rank $l$ Lie group. Then a large number of modular invariants of affine Lie algebras are derived explicitly. As two applications of this method, we give a direct derivation of $D$-series of $SU(N)$ and a new proof for the A-D-E classification of the $SU(2)_k$ partition functions.

Affiliated with

Also associated with

No associations

Rating

Modular Invariant Partition Functions and Method of Shift Vector 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 Modular Invariant Partition Functions and Method of Shift Vector, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Modular Invariant Partition Functions and Method of Shift Vector will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-586734