Abstract
The additional data necessary to univocally fix the gauge group for a given algebra are represented by the same charge lattices of mutually local Wilson and ’t Hooft lines for both 4d \( \mathcal{N} \) = 4 SYM and \( \mathcal{N} \) = 2 elliptic models. Motivated by this equivalence in this paper we study the Lens space index of these \( \mathcal{N} \) = 2 elliptic models. The index is indeed sensitive to the global properties and in the \( \mathcal{N} \) = 4 case it is expected to coincide among S-dual models with different global properties, while it gives different results for models that lie in other S-duality orbits. Here by an explicit calculation we show that the same results hold for the \( \mathcal{N} \) = 2 elliptic models as well.
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ArXiv ePrint: 1911.13264
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Amariti, A., Marcassoli, A. Lens space index and global properties for 4d \( \mathcal{N} \) = 2 models. J. High Energ. Phys. 2020, 143 (2020). https://doi.org/10.1007/JHEP02(2020)143
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DOI: https://doi.org/10.1007/JHEP02(2020)143