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Main Authors: Kim, Hyojoong, Kim, Nakwoo
Format: Preprint
Published: 2025
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Online Access:https://arxiv.org/abs/2507.06097
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author Kim, Hyojoong
Kim, Nakwoo
author_facet Kim, Hyojoong
Kim, Nakwoo
contents We construct AdS$_5 \times Σ$ solutions of $D=7$ gauged supergravity where $Σ$ is a disc, also known as a half-spindle, and uplift them to $D=11$ supergravity. By computing the anomaly polynomial of the M5-brane theory compactified on $Σ$ in the large $N$ limit, we obtain the off-shell central charges of the dual $D=4$, $\mathcal{N}=1$ superconformal field theory to disc solutions. These off-shell central charges decompose into contributions from the center and the boundary of the disc and are referred to as the gravitational blocks for disc. By suitably gluing the gravitational blocks for two discs along their boundaries, we reproduce the off-shell central charge for a single spindle.
format Preprint
id arxiv_https___arxiv_org_abs_2507_06097
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Gluing two discs into a spindle
Kim, Hyojoong
Kim, Nakwoo
High Energy Physics - Theory
We construct AdS$_5 \times Σ$ solutions of $D=7$ gauged supergravity where $Σ$ is a disc, also known as a half-spindle, and uplift them to $D=11$ supergravity. By computing the anomaly polynomial of the M5-brane theory compactified on $Σ$ in the large $N$ limit, we obtain the off-shell central charges of the dual $D=4$, $\mathcal{N}=1$ superconformal field theory to disc solutions. These off-shell central charges decompose into contributions from the center and the boundary of the disc and are referred to as the gravitational blocks for disc. By suitably gluing the gravitational blocks for two discs along their boundaries, we reproduce the off-shell central charge for a single spindle.
title Gluing two discs into a spindle
topic High Energy Physics - Theory
url https://arxiv.org/abs/2507.06097