Modular invariance and nonrenormalizable interactions

Details Modular invariance and nonrenormalizable interactions Modular invariance and nonrenormalizable interactions

1991-12-05

arxiv.org/abs/hep-th/9112011v1

Phys.Lett. B287 (1992) 82-88

Physics

High Energy Physics

High Energy Physics - Theory

13 pages

Scientific paper

10.1016/0370-2693(92)91880-I

We examine the modular properties of nonrenormalizable superpotential terms in string theory and show that the requirement of modular invariance necessitates the nonvanishing of certain Nth order nonrenormalizable terms. In a class of models (free fermionic formulation) we explicitly verify that the nontrivial structure imposed by the modular invariance is indeed present. Alternatively, we argue that after proper field redefinition, nonrenormalizable terms can be recast as to display their invariance under the modular group. We also discuss the phenomenological implications of the above observations.

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