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“School of Physics”

Paper IPM / P / 6516

School of Physics

Title:

A Unified Scheme for Modular Invariant Partition Functions of WZW Models

Author(s):

1 .	M.R. Abolhasani
2 .	F. Ardalan

Status:

Published

Journal:

Int. J. Mod. Phys. A

No.:

Vol.:

Year:

1994

Pages:

2707-2739

Supported by:

IPM

Abstract:

We introduce a unified method which can be applied to any WZW model at arbitrary level to search systematically for modular invariant physical partition functions. Our method is based essentially on modding out a known theory on group manifold G by a discrete group G. We apply our method to ∧su(n) with n=2, 3, 4, 5, 6 and to ∧g₂ models, and obtain all the known partition functions and some new ones, and give explicit expressions for all of them.

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