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Gauged WZW-type theories and the all-loop anisotropic non-Abelian Thirring model

2 Pith papers cite this work. Polarity classification is still indexing.

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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.

fields

hep-th 2

years

2025 2

verdicts

UNVERDICTED 2

representative citing papers

From Horowitz -- Polchinski to Thirring and Back

hep-th · 2025-09-03 · unverdicted · novelty 6.0

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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Showing 2 of 2 citing papers.

  • Non-perturbative renormalization group for pseudo-hermitian scalar fields in 4D hep-th · 2025-04-12 · unverdicted · none · ref 77 · internal anchor

    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.

  • From Horowitz -- Polchinski to Thirring and Back hep-th · 2025-09-03 · unverdicted · none · ref 24 · internal anchor

    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.