Manakov-Zakharov-Ward model as an integrable decoupling limit of the membrane
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Open Access
- 25 March 2026
- journal article
- Published by American Physical Society (APS) in Physical Review D
- Vol. 113 (6)
Abstract
This paper proposes a novel decoupling limit of the membrane, leading to the ( 1 + 2 )-dimensional classically integrable model originally introduced by Manakov, Zakharov, and Ward. This limit is the large-wrapping regime of a membrane propagating toy background of the form R t × T 2 × G subject to scaling limit, where G is a Lie group and the geometry is supported by a four-form flux. Such toy backgrounds can arise from consistent eleven-dimensional supergravity solutions, exemplified by the uplift of the pure Neveu-Schwarz-Neveu-Schwarz AdS 3 × S 3 × T 4 background. The scaling limit can be interpreted as a simultaneous small tension and non- or hyperrelativistic limit.Keywords
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Funding Information
- Narodowe Centrum Nauki (2024/55/D/ST2/01205)
- Eidgenössische Technische Hochschule Zürich
- European Cooperation in Science and Technology (CA22113)
- European Cooperation in Science and Technology (E-COST-GRANT-CA22113-2a51a346)
This publication has 48 references indexed in Scilit:
- Matrix theory reloaded: a BPS road to holographyJournal of High Energy Physics, 2025
- Scattering on the supermembraneJournal of High Energy Physics, 2024
- Non-relativistic intersecting branes, Newton-Cartan geometry and AdS/CFTJournal of High Energy Physics, 2024
- Instanton contributions to the ABJM free energy from quantum M2 branesJournal of High Energy Physics, 2023
- Twistors, the ASD Yang-Mills equations and 4d Chern-Simons theoryJournal of High Energy Physics, 2023
- A non-relativistic limit of M-theory and 11-dimensional membrane Newton-Cartan geometryJournal of High Energy Physics, 2021
- Currents, charges and algebras in exceptional generalised geometryJournal of High Energy Physics, 2021
- Supergravity solution-generating techniques and canonical transformations of σ-models from O(D, D)Journal of High Energy Physics, 2021
- Classical solutions of the chiral model, unitons, and holomorphic vector bundlesCommunications in Mathematical Physics, 1990
- Three-dimensional model of relativistic-invariant field theory, integrable by the Inverse Scattering TransformLetters in Mathematical Physics, 1981