A one-parameter flow ∂_λ ℒ = ℛ_λ^{1/α} yields closed-form solutions in duality-invariant 4D electrodynamics and 2D integrable sigma models, with α=1 recovering root-TTbar and other values producing irrelevant (α<1) or relevant (α>1) deformations.
Causal self-dual electrodynamics
5 Pith papers cite this work. Polarity classification is still indexing.
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Causal nonlinear electrodynamics forces a singular center and at most three phases for RN-asymptotic black holes, with monotonicity proofs showing reduced mass and entropy for extreme dyonic cases.
No regular purely electric black strings exist in NED recovering the Maxwell limit, but regular cylindrical Bardeen and Hayward analogues are constructed with finite curvature.
The authors adapt heat kernel techniques to non-minimal operators and compute DeWitt coefficients a0, a1, a2 to leading order in weak background fields for general NLED, plus exact a0 for conformal theories, with causality comments for convergence.
An auxiliary-field construction with Born-Infeld seed produces causal self-dual NLED models that solve the self-duality equation and relate to prior Russo-Townsend work.
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On regular black strings spacetimes in nonlinear electrodynamics
No regular purely electric black strings exist in NED recovering the Maxwell limit, but regular cylindrical Bardeen and Hayward analogues are constructed with finite curvature.