A twistor-string quantization of internal Majorana fermions on minimal surfaces solves the Makeenko-Migdal equations and yields parametric Regge trajectories matching light meson data.
Induced surfaces and their integrable dynamics. II. Generalized Weierstrass representations in 4D spaces and deformations via DS hierarchy
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abstract
Extensions of the generalized Weierstrass representation to generic surfaces in 4D Euclidean and pseudo-Euclidean spaces are given. Geometric characteristics of surfaces are calculated. It is shown that integrable deformations of such induced surfaces are generated by the Davey -Stewartson hierarchy. Geometrically these deformations are characterized by the invariance of an infinite set of functionals over surface. The Willmore functional (the total squared mean curvature) is the simplest of them. Various particular classes of surfaces and their integrable deformations are considered.
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hep-th 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
Using twistor-string methods on planar loop equations, the paper derives exact glueball trajectories with linear Regge behavior and fits 40 meson states showing geometric degeneracies, while providing an analytic mechanism for the gluonic mass gap.
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Geometric QCD II: The Confining Twistor String and Meson Spectrum
A twistor-string quantization of internal Majorana fermions on minimal surfaces solves the Makeenko-Migdal equations and yields parametric Regge trajectories matching light meson data.
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Geometric QCD III: Exact transition amplitudes and the glueball spectrum
Using twistor-string methods on planar loop equations, the paper derives exact glueball trajectories with linear Regge behavior and fits 40 meson states showing geometric degeneracies, while providing an analytic mechanism for the gluonic mass gap.