Non-linear realization of Poincare invariance in the graph-representation of extremal hypersurfaces
Jens Hoppe
TL;DR
This paper explores the non-linear realization of Poincare invariance within a graph-representation of extremal hypersurfaces, revealing conservation laws suggestive of integrability in M-brane dynamics.
Contribution
It introduces a novel approach to representing extremal hypersurfaces that uncovers underlying conservation laws linked to Poincare invariance.
Findings
Identification of conservation laws in M-brane models
Evidence of integrability in the system
Connection between Poincare invariance and hypersurface dynamics
Abstract
In the Born-Infeld 'harmonic gauge' description of M-branes moving in R^{M+1} the underlying M+2 dimensional Poincare - invariance gives rise to an interesting system of conservation laws showing signs of integrability.
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Taxonomy
TopicsGeometric Analysis and Curvature Flows · Algebraic Geometry and Number Theory · Advanced Numerical Analysis Techniques