Modular Invariance as an Explanation for the Absence of Monopoles.

F. Toppan

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arXiv · hep-th/9503122

Modular Invariance as an Explanation for the Absence of Monopoles.

F. Toppan

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Abstract

It is shown that modular invariance provides a natural explanation for the absence of monopoles when assumed to be a discrete gauge symmetry. It follows that monopoles can not be seen because it is always possible to find a suitable gauge-fixing in which they are not present. This result relies upon an easy to prove but non-trivial property of the modular group. A modular-invariant formulation for the hamiltonian of the electromagnetism is given. No monopole arises if independent modular transformations are allowed at each point in space-time where point-like charges are present.

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F. Toppan. 1995-03-20. Modular Invariance as an Explanation for the Absence of Monopoles.. https://arxiv.org/abs/hep-th/9503122

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