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.
SL(2,R) Invariance of Non-Linear Electrodynamics Coupled to An Axion and a Dilaton
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abstract
The most general Lagrangian for non-linear electrodynamics coupled to an axion $a$ and a dilaton $\phi$ with $SL(2,\mbox{\elevenmsb R})$ invariant equations of motion is $$ -\half\left(\nabla\phi\right)^2 - \half e^{2\phi}\left(\nabla a\right)^2 + \fraction{1}{4}aF_{\mu\nu}\star F^{\mu\nu} + L_{\rm inv}(g_{\mu\nu},e^{-\frac{1}{2}\phi}F_{\rho\sigma}) $$ where $L_{\rm inv}(g_{\mu\nu},F_{\rho\sigma})$ is a Lagrangian whose equations of motion are invariant under electric-magnetic duality rotations. In particular there is a unique generalization of Born-Infeld theory admitting $SL(2,\mbox{\elevenmsb R})$ invariant equations of motion.
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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.
Derives inherently 9D one-loop effective couplings in type IIB from T-duality on reduced IIA terms at order alpha'^3, demonstrating S-duality invariance without tree-level or non-perturbative input and consistency with heterotic duality.
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.
citing papers explorer
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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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The emergence of inherently 9-dimensional one-loop effective action from T-duality
Derives inherently 9D one-loop effective couplings in type IIB from T-duality on reduced IIA terms at order alpha'^3, demonstrating S-duality invariance without tree-level or non-perturbative input and consistency with heterotic duality.
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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.