Minimal Lagrangian surfaces in the 2D complex hyperbolic quadric are characterized by loops of flat connections, with a Gauss map correspondence to spacelike maximal surfaces in AdS^3 and DPW-type constructions yielding explicit R-equivariant and catenoid-type examples.
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Minimal Lagrangian surfaces in the two-dimensional complex hyperbolic quadric via the loop group method
Minimal Lagrangian surfaces in the 2D complex hyperbolic quadric are characterized by loops of flat connections, with a Gauss map correspondence to spacelike maximal surfaces in AdS^3 and DPW-type constructions yielding explicit R-equivariant and catenoid-type examples.