On the Orbifold origin of Higher Form Symmetries in Geometric Engineering

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Main Authors: Dramburg, Darius, Meynet, Shani Nadir, Sangiovanni, Andrea
Format: Preprint
Published: 2025
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author Dramburg, Darius
Meynet, Shani Nadir
Sangiovanni, Andrea
author_facet Dramburg, Darius
Meynet, Shani Nadir
Sangiovanni, Andrea
contents In this work we explore the relation between orbifold singularities and higher form symmetries. Using the geometric engineering dictionary, we argue that the discrete higher symmetries of 5d SCFTs constructed from M-theory on a non-compact Calabi-Yau threefold can be related to a quantum symmetry of the associated BPS quiver. Through un-orbifolding the quantum symmetry we obtain a new theory without higher form symmetry, providing a notion of ''minimality'' for a theory. This procedure is carried out via algebraic manipulations of the BPS/McKay quiver describing the crepant resolution of the singular geometry. This technique can also be reverted and thus, starting from any ''minimal'' theory, one can orbifold it and generate new theories with the desired higher form symmetries. We test our technology on classes of 5d SCFTs that arise from M-theory geometric engineering on Calabi-Yau threefolds that are non-toric non-complete intersections, which have historically been challenging to tackle.
format Preprint
id arxiv_https___arxiv_org_abs_2512_19797
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle On the Orbifold origin of Higher Form Symmetries in Geometric Engineering
Dramburg, Darius
Meynet, Shani Nadir
Sangiovanni, Andrea
High Energy Physics - Theory
In this work we explore the relation between orbifold singularities and higher form symmetries. Using the geometric engineering dictionary, we argue that the discrete higher symmetries of 5d SCFTs constructed from M-theory on a non-compact Calabi-Yau threefold can be related to a quantum symmetry of the associated BPS quiver. Through un-orbifolding the quantum symmetry we obtain a new theory without higher form symmetry, providing a notion of ''minimality'' for a theory. This procedure is carried out via algebraic manipulations of the BPS/McKay quiver describing the crepant resolution of the singular geometry. This technique can also be reverted and thus, starting from any ''minimal'' theory, one can orbifold it and generate new theories with the desired higher form symmetries. We test our technology on classes of 5d SCFTs that arise from M-theory geometric engineering on Calabi-Yau threefolds that are non-toric non-complete intersections, which have historically been challenging to tackle.
title On the Orbifold origin of Higher Form Symmetries in Geometric Engineering
topic High Energy Physics - Theory
url https://arxiv.org/abs/2512.19797