Simple-Sum Giant Graviton Expansions for Orbifolds and Orientifolds

2023/10/05 by Fujiwara, Shota, Imamura, Yosuke, Mori, Tatsuya +2 · 1 citation
#FOS: Physical sciences #High Energy Physics - Theory (hep-th)

paper · doi:10.48550/arxiv.2310.03332

Abstract

We study giant graviton expansions of the superconformal index of 4d orbifold/orientifold theories. In general, a giant graviton expansion is given as a multiple sum over wrapping numbers. It has been known that the expansion can be reduced to a simple sum for the \cal N=4 U(N) SYM by choosing appropriate expansion variables. We find such a reduction occurs for a few examples of orbifold and orientifold theories: ℤ_k orbifold and orientifolds with O3 and O7. We also argue that for a quiver gauge theory associated with a toric Calabi-Yau 3-fold the simple-sum expansion works only if the toric diagram is a triangle, that is, the Calabi-Yau is an orbifold of ℂ³.

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