TY - JOUR
T1 - Modular invariants from simple currents. An explicit proof
AU - Schellekens, A. N.
AU - Yankielowicz, S.
N1 - Funding Information:
Work supported in part by the US-Israel Binational Science Foundation, and the Israel Academy of Science. Permanent address: School of Physics and Astronomy, Raymond and Beverley Sacler Faculty of Exact Sciences, TeI-Aviv University, Tel-Aviv, Israel.
PY - 1989/8/31
Y1 - 1989/8/31
N2 - In a previous paper an orbifold construction was used to demonstrate that the existence of primary fields with simple fusion rules in a conformal field theory implies the existence of non-diagonal modular invariant partition functions. Here we present a direct and explicit proof of modular invariance, which also covers a few cases that could not be obtained with the orbifold method. We also give a very simple general formula for the modular matrix M.
AB - In a previous paper an orbifold construction was used to demonstrate that the existence of primary fields with simple fusion rules in a conformal field theory implies the existence of non-diagonal modular invariant partition functions. Here we present a direct and explicit proof of modular invariance, which also covers a few cases that could not be obtained with the orbifold method. We also give a very simple general formula for the modular matrix M.
UR - http://www.scopus.com/inward/record.url?scp=0001612781&partnerID=8YFLogxK
U2 - 10.1016/0370-2693(89)90948-9
DO - 10.1016/0370-2693(89)90948-9
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AN - SCOPUS:0001612781
VL - 227
SP - 387
EP - 391
JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
SN - 0370-2693
IS - 3-4
ER -