The second term in the spectral expansion of the expected LQG heat trace as t to 0 is governed by the KPZ exponent.
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Universal E(q) ~ q^{-1} spectrum in 2D active nematic turbulence yields sign-field correlation exponent a=3/2 at the Weinrib-Halperin marginal point, preserving percolation universality and SLE_6 for zero-vorticity interfaces.
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Spectral expansion of LQG heat trace and KPZ scaling
The second term in the spectral expansion of the expected LQG heat trace as t to 0 is governed by the KPZ exponent.
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Spectral origin of conformal invariance in active nematic turbulence
Universal E(q) ~ q^{-1} spectrum in 2D active nematic turbulence yields sign-field correlation exponent a=3/2 at the Weinrib-Halperin marginal point, preserving percolation universality and SLE_6 for zero-vorticity interfaces.