The Manakov-Zakharov-Ward model as an integrable decoupling limit of the membrane

David Osten

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arXiv · 2505.17184

The Manakov-Zakharov-Ward model as an integrable decoupling limit of the membrane

David Osten

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Abstract

A novel decoupling limit of the membrane is proposed, 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 $\mathbb{R}_t \times T^2 \times G$ 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 NSNS AdS$_3 \times$ S$^3 \times$ T$^4$ background. The scaling limit can be interpreted as similtaneous small tension and non- or hyper-relativistic limit.

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David Osten. 2025-05-22. The Manakov-Zakharov-Ward model as an integrable decoupling limit of the membrane. https://arxiv.org/abs/2505.17184

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