On conformal field theories at fractional levels

Details On conformal field theories at fractional levels On conformal field theories at fractional levels

1998-11-11

arxiv.org/abs/hep-th/9811100v1

Nucl.Phys. B557 (1999) 505-516

Physics

High Energy Physics

High Energy Physics - Theory

Scientific paper

10.1016/S0550-3213(99)00356-9

For each lattice one can define a free boson theory propagating on the corresponding torus. We give an alternative definition where one employs any automorphism of the group $M^*/M$. This gives a wealth of conformal data, which we realize as some bosonic theory, in all the `regular' cases. We discuss the generalization to affine theories. As a byproduct, we compute the gauss sum for any lattice and any diagonal automorphism.

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