2017Physics of Atomic NucleiOpen access

Single-flavor Abelian mirror symmetry on ℝℙ2 × S1

Hironori Mori, Takeshi Morita, Akinori Tanaka

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Abstract

The superconformal index on ℝℙ 2 × S 1 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 ℝℙ 2 and then rigorously show two kinds of Abelian mirror symmetry via the index on ℝℙ 2 × S 1 .

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The superconformal index on ℝℙ 2 × S 1 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 ℝℙ 2 and then rigorously show two kinds of Abelian mirror symmetry via the index on ℝℙ 2 × S 1 .

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Available abstract

The superconformal index on ℝℙ 2 × S 1 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 ℝℙ 2 and then rigorously show two kinds of Abelian mirror symmetry via the index on ℝℙ 2 × S 1 .

Key concepts: Physics, Mirror symmetry, Abelian group, Symmetry (geometry), Parity (physics), Global symmetry, Theoretical physics, Index (typography)

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