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arXiv · 1711.04021

Index Theorem for non-Supersymmetric Fermions Coupled to a non-Abelian String and Electric Charge Quantization

M. Shifman·A. Yung
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Abstract

Non-Abelian strings are considered in {\em non}-supersymmetric theories with fermions in various appropriate representations of the gauge group U($N$). We derive the electric charge quantization conditions and the index theorems counting fermion zero modes in the string background both for the left-handed and right-handed fermions. In both cases, we observe a non-trivial $N$ dependence.

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M. Shifman, A. Yung. 2017-11-10. Index Theorem for non-Supersymmetric Fermions Coupled to a non-Abelian String and Electric Charge Quantization. https://doi.org/10.1142/s0217732318500530

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