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

2025/05/22 by Osten, David
#Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph)

paper · doi:10.48550/arxiv.2505.17184

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 ℝ_t × T² × 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 AdS₃ × S³ × T⁴ background. The scaling limit can be interpreted as similtaneous small tension and non- or hyper-relativistic limit.

Citations

• Reciprocal Non-Relativistic Decoupling Limits of String Theory and M-Theory
• Matrix Theory Reloaded: A BPS Road to Holography
• The surprising structure of non-relativistic 11-dimensional supergravity
• 5d 2-Chern-Simons theory and 3d integrable field theories
• Non-Relativistic Intersecting Branes, Newton-Cartan Geometry and AdS/CFT
• Scattering on the supermembrane
• On the universal exceptional structure of world-volume theories in string and M-theory
• Exact approaches on the string worldsheet
• Instanton contributions to the ABJM free energy from quantum M2 branes
• A-theory: A brane world-volume theory with manifest U-duality
• The Cauchy Problem of the Ward equation
• Soliton Solutions of the Integrable Chiral Model in 2+1 Dimensions

Related

• Membranes and gauged supergravity
• Near-extremal membranes in M-theory
• The Story of M
• The intermediate level-sets of the four-dimensional membrane model
• Scaling law for membrane lifetime