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Area of Science:

  • Fluid Dynamics
  • Statistical Physics
  • Conformal Field Theory

Background:

  • Gravity wave turbulence is a complex phenomenon with potential connections to fundamental symmetries.
  • Conformal invariant curves are theoretical constructs with applications in various physical systems.

Purpose of the Study:

  • To experimentally investigate the statistical properties of zero-height isolines in gravity wave turbulence.
  • To determine if these isolines can be described by conformal invariant curves, specifically stochastic Schramm-Löwner evolution (SLE).

Main Methods:

  • Experimental investigation of gravity wave turbulence.
  • Statistical analysis of zero-height isoline configurations.
  • Comparison of experimental data with theoretical predictions of SLE.

Main Results:

  • Direct evidence supporting the description of zero-height isolines by SLE.
  • Determination of the diffusivity parameter κ = 2.88(8) for SLE.
  • Observation that increased nonlinearity in height fields destroys conformal symmetry.

Conclusions:

  • Zero-height isolines in gravity wave turbulence are physical realizations of conformal invariant curves.
  • The findings provide a new link between fluid turbulence and concepts from conformal field theory.
  • Scale invariance is maintained even when conformal symmetry is broken by nonlinearity.