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5d Higgs branch and instanton magnetization

Year: 2026

Type: preprint

Abstract: Higgs branches of 5d $Sp(k)$ theories with $N_f$ flavours, whether at weak or strong coupling, are described by a pair of instantons transforming as pure spinors of $SO(2N_f)$. The Poisson structure is constrained by symmetry arguments and implies that these Higgs branches are algebraic integrable systems; the degeneration of the symplectic form occurs when the spinor annihilators overlap. We argue that the stratification of the Higgs branch at infinite coupling corresponds to the alignment of the instantons weights, leading to a non vanishing magnetization, and their acquisition of a mass.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2603.29679

Authors: Hanany, Amihay, Tomasiello, Alessandro, Driessche, Elias Van den

Institutions: Imperial College London, University of Milan, Istituto Nazionale di Fisica Nucleare, Sezione di Milano Bicocca, University of Milano-Bicocca

Topic: Black Holes and Theoretical Physics

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

Funder: Science and Technology Facilities Council

OpenAlex ID: W7147306206

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