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.
Nonlinear Self-Duality and Supersymmetry
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abstract
We review self-duality of nonlinear electrodynamics and its extension to several Abelian gauge fields coupled to scalars. We then describe self-duality in supersymmetric models, both N = 1 and N = 2. The self-duality equations, which have to be satisfied by the action of any self-dual system, are found and solutions are discussed. One important example is the Born-Infeld action. We explain why the N = 2 supersymmetric actions proposed so far are not the correct world-volume actions for D3 branes in d = 6.
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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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The Triple $T\bar{T}$-Like Flow in Quantum Field Theories: Irrelevant, Marginal, and Relevant
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.
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Heat kernel approach to the one-loop effective action for nonlinear electrodynamics
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.
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Causal self-dual nonlinear electrodynamics from the Born-Infeld theory
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.