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Single-flavor Abelian mirror symmetry on ℝℙ2 × S1

  • Elementary Particles and Fields Theory
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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.

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Authors and Affiliations

  1. Department of Physics, Graduate School of Science, Osaka University, Suita, Japan

    Hironori Mori

  2. Graduate School of Information Science and Technology, Osaka University, Suita, Japan

    Takeshi Morita

  3. iTHES Research Group, RIKEN, Tokyo, Japan

    Akinori Tanaka

Authors
  1. Hironori Mori
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  2. Takeshi Morita
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  3. Akinori Tanaka
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Correspondence to Hironori Mori.

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The text was submitted by the authors in English.

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Mori, H., Morita, T. & Tanaka, A. Single-flavor Abelian mirror symmetry on ℝℙ2 × S1 . Phys. Atom. Nuclei 80, 586–589 (2017). https://doi.org/10.1134/S1063778817030218

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  • DOI: https://doi.org/10.1134/S1063778817030218

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