Single-flavor Abelian mirror symmetry on ℝℙ 2  × S 1

Hironori Mori; Takeshi Morita; Akinori Tanaka

doi:10.1134/S1063778817030218

Single-flavor Abelian mirror symmetry on ℝℙ² × S¹

Authors: Mori H.¹, Morita T.², Tanaka A.³
Affiliations:
1. Department of Physics, Graduate School of Science
2. Graduate School of Information Science and Technology
3. iTHES Research Group
Issue: Vol 80, No 3 (2017)
Pages: 586-589
Section: Elementary Particles and Fields Theory
URL: https://journals.rcsi.science/1063-7788/article/view/192032
DOI: https://doi.org/10.1134/S1063778817030218
ID: 192032

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Abstract

The superconformal index on ℝℙ² × S¹ can be derived exactly by the localization technique and applied to the direct proof of Abelianmirror symmetry. We find two sets of parity conditions compatible with the unorientable property of ℝℙ² and then rigorously show two kinds of Abelian mirror symmetry via the index on ℝℙ² × S¹.