Simple-Sum Giant Graviton Expansions for Orbifolds and Orientifolds
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arXiv
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| Format: | Preprint |
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2023
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| author | Fujiwara, Shota Imamura, Yosuke Mori, Tatsuya Murayama, Shuichi Yokoyama, Daisuke |
| author_facet | Fujiwara, Shota Imamura, Yosuke Mori, Tatsuya Murayama, Shuichi Yokoyama, Daisuke |
| contents | 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: $\mathbb{Z}_k$ 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 $\mathbb{C}^3$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_03332 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Simple-Sum Giant Graviton Expansions for Orbifolds and Orientifolds Fujiwara, Shota Imamura, Yosuke Mori, Tatsuya Murayama, Shuichi Yokoyama, Daisuke High Energy Physics - Theory 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: $\mathbb{Z}_k$ 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 $\mathbb{C}^3$. |
| title | Simple-Sum Giant Graviton Expansions for Orbifolds and Orientifolds |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2310.03332 |