The pseudo-hermitian scalar model exhibits a line of non-unitary 4D fixed points, massless flows between them, and cyclic RG flows, supported by three-loop beta functions and an all-order conjecture.
Gauged WZW-type theories and the all-loop anisotropic non-Abelian Thirring model
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abstract
We study what we call the all-loop anisotropic bosonized Thirring sigma model. This interpolates between the WZW model and the non-Abelian T-dual of the principal chiral model for a simple group. It has an invariance involving the inversion of the matrix parametrizing the coupling constants. We compute the general renormalization group flow equations which assume a remarkably simple form and derive its properties. For symmetric couplings, they consistently truncate to previous results in the literature. One of the examples we provide gives rise to a first order system of differential equations interpolating between the Lagrange and the Darboux-Halphen integrable systems.
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hep-th 2years
2025 2verdicts
UNVERDICTED 2representative citing papers
New continuation method via affine SU(2)_L x SU(2)_R level variation relates near-Hagedorn black holes and HP solutions to solvable EFT limit of non-abelian Thirring model.
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Non-perturbative renormalization group for pseudo-hermitian scalar fields in 4D
The pseudo-hermitian scalar model exhibits a line of non-unitary 4D fixed points, massless flows between them, and cyclic RG flows, supported by three-loop beta functions and an all-order conjecture.
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From Horowitz -- Polchinski to Thirring and Back
New continuation method via affine SU(2)_L x SU(2)_R level variation relates near-Hagedorn black holes and HP solutions to solvable EFT limit of non-abelian Thirring model.