A single generating function encodes both 4D self-dual nonlinear electrodynamics and 2D integrable sigma models, and newly defined gamma flows preserve the root-T Tbar equation across generalized Born-Infeld, logarithmic, q-deformed, and new closed-form theories.
To achieve this, we consider the following potential: Ω(y) = 1 4λ ( (y−3 + 3y)− 4 ) , (33) wherey is determined by: y = √ 2λq1 + √ 9 + 4λ(λq2 1− 3q2) 3− 4λq2
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Root-$T\bar{T}$ Flows Unify 4D Duality-Invariant Electrodynamics and 2D Integrable Sigma Models
A single generating function encodes both 4D self-dual nonlinear electrodynamics and 2D integrable sigma models, and newly defined gamma flows preserve the root-T Tbar equation across generalized Born-Infeld, logarithmic, q-deformed, and new closed-form theories.