Geometric bounds on the 1-form gauge sector

Lee, Seung-Joo; Oehlmann, Paul-Konstantin

doi:10.1103/physrevd.108.086021

Phys. Rev. D

2023

DOI: 10.1103/physrevd.108.086021

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Geometric bounds on the 1-form gauge sector

Seung-Joo Lee,

Paul-Konstantin Oehlmann

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2024

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Cited by 5 publications

References 49 publications

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Gopakumar-Vafa invariants and the Emergent String Conjecture

Rudelius

2024

J. High Energ. Phys.

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The Emergent String Conjecture of Lee, Lerche, and Weigand holds that every infinite-distance limit in the moduli space of a quantum gravity represents either a decompactification limit or an emergent string limit in some duality frame. Within the context of 5d supergravities coming from M-theory compactifications on Calabi-Yau threefolds, we find evidence for this conjecture by studying (a) the gauge couplings and (b) the BPS spectrum, which is encoded in the Gopakumar-Vafa invariants of the threefold. In the process, we disuss a testable geometric consequence of the Emergent String Conjecture, and we verify that it is satisfied in all complete intersection Calabi-Yau threefolds in products of projective spaces (CICYs).

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Gopakumar-Vafa invariants and the Emergent String Conjecture

Rudelius

2024

J. High Energ. Phys.

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The frozen phase of heterotic F-theory duality

Oehlmann,

Ruehle,

Sung

2024

J. High Energ. Phys.

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We study the duality between the Spin(32)/ℤ2 heterotic string without vector structure and F-theory with frozen singularities. We give a complete description in theories with 6d $$ \mathcal{N} $$ N = (1, 0) supersymmetry and identify the duals of Spin(32)/ℤ2-instantons on ADE singularities without vector structure in the frozen phase of F-theory using an ansatz introduced by Bhardwaj, Morrison, Tachikawa, and Tomasiello. As a consequence, we obtain a strongly coupled description of orbifold phases of type I string theory without vector structure, substantially expanding the list of known examples of 6d F-theory compactifications with frozen singularities. Supergravity theories can be fused from these instanton theories, in a way that commutes with switching off vector structure, which we use to propose new consistency checks via neutral hypermultiplet counting. Finally, we describe various Higgsings of this duality, and comment on constraints on higher form symmetries.

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Generalized symmetries, gravity, and the swampland

Cvetič,

Heckman,

Hübner

et al. 2024

Phys. Rev. D

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Generalized global symmetries are a common feature of many quantum field theories decoupled from gravity. By contrast, in quantum gravity/the Swampland program, it is widely expected that all global symmetries are either gauged or broken, and this breaking is in turn related to the expected completeness of the spectrum of charged states in quantum gravity. We investigate the fate of such symmetries in the context of 7D and 5D vacua realized by compact Calabi-Yau spaces with localized singularities in M theory. We explicitly show how gravitational backgrounds support additional dynamical degrees of freedom which trivialize (i.e., “break”) the higher symmetries of the local geometric models. Local compatibility conditions across these different sectors lead to gluing conditions for gauging higher-form and (in the 5D case) higher-group symmetries. This also leads to a preferred global structure of the gauge group and higher-form gauge symmetries. In cases based on a genus-one fibered Calabi-Yau space, we also get an F-theory model in one higher dimension with corresponding constraints on the global form of the gauge group. Published by the American Physical Society 2024

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Geometric bounds on the 1-form gauge sector

Cited by 5 publications

References 49 publications

Gopakumar-Vafa invariants and the Emergent String Conjecture

Gopakumar-Vafa invariants and the Emergent String Conjecture

The frozen phase of heterotic F-theory duality

Generalized symmetries, gravity, and the swampland

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