A Matrix S for all simple current extensions
Jan, 199653 pages
Published in:
- Nucl.Phys.B 473 (1996) 323-366
e-Print:
- hep-th/9601078 [hep-th]
Report number:
- IHES-P-96-8,
- NIKHEF-96-001,
- DESY-96-008
View in:
Citations per year
Abstract:
A formula is presented for the modular transformation matrix S for any simple current extension of the chiral algebra of a conformal field theory. This provides in particular an algorithm for resolving arbitrary simple current fixed points, in such a way that the matrix S we obtain is unitary and symmetric and furnishes a modular group representation. The formalism works in principle for any conformal field theory. A crucial ingredient is a set of matrices S~J_{ab}, where J is a simple current and a and b are fixed points of J. We expect that these input matrices realize the modular group for the torus one-point functions of the simple currents. In the case of WZW-models these matrices can be identified with the S-matrices of the orbit Lie algebras that we introduced in a previous paper. As a special case of our conjecture we obtain the modular matrix S for WZW-theories based on group manifolds that are not simply connected, as well as for most coset models.Note:
- Phyzzx, 53 pages 1 uuencoded figure Report-no: IHES/P/98/8 - NIKHEF 96-001
- 11.25.Hf
- 02.20.Tw
- Conformal field theory
- Modular invariant
- Simple current extension
- Modular matrix S
- Modular matrix S
- field theory: conformal
- dimension: 2
- S-matrix
References(19)
Figures(0)