Mar 2026· Journal of High Energy Physics· Vol 2026· 0 citations· 27 references
Physics
Abstract
We develop the theory of the first-order dynamical systems, called the Euclidean ℰ-models, which naturally give rise in their second-order formulation to non-unitary nonlinear σ-models with real Euclidean actions. We establish the Euclidean version of Poisson-Lie T-duality, formulate sufficient conditions for Lax integrability, and describe the one-loop renormalization flow of the Euclidean ℰ-operator. For perfect Drinfeld doubles, we introduce the ℰ-Wick rotation, which canonically associates a Euclidean ℰ-model with every Lorentzian one. In the families studied here, this construction induces natural analytic continuations relating the Lorentzian and Euclidean Lax representations and renormalization-group flows, while preserving Poisson-Lie duality. As the principal example, we construct the Euclidean bi-Yang-Baxter model on the Lu-Weinstein double and determine explicitly its action, Lax representation, Poisson-Lie dual and one-loop renormalization-group flow. We identify a one-parameter family of one-loop RG fixed points for which the target-space geometry develops singularities on the maximal torus of K, whereas the dual model with target Kℂ/K has an everywhere regular background. This regular dual model turns out to be a one-parameter deformation of the non-unitary hyperbolic Wess-Zumino-Witten model.
We initiate a symmetry descent procedure for M-theory engineered quantum field theories. Starting from a higher form BF theory supplemented by a cubic bulk topological interaction, we construct a gauge-invariant bulk-boundary system whose edge modes acquire generalized Maxwell--Chern--Simons dynamics after the introduc...
We study Abelian S-duality of Maxwell theory on A-type asymptotically locally Euclidean (ALE) spaces. Unlike on closed four-manifolds, the Maxwell path integral on an ALE space is not naturally a scalar partition function. Rather, it decomposes into theta-function blocks labeled by flat U (1) holonomy sectors on the as...
Mohamed M. Anber· Journal of High Energy Physi...· 0 citations
The construction of a reliable renormalization group (RG) flow for discrete gravity models that preserves their underlying symmetry group, typically $U(N)$ or $O(N)$, remains an open problem. For random matrix models, which are the focus of this paper, this symmetry is intrinsically tied to the interactions encoding th...
We consider boundary conditions of two-dimensional Dirac fermions which preserve a non-anomalous continuous symmetry which acts differently on the left- and right-movers. Such boundaries are equivalent to topological defects of Weyl fermions preserving the symmetry. We give a general construction of such defects for co...
G. Arias-Tamargo, Philip Boyle Smith, R. Mouland et al.· 1 citation
We formulate and solve a $G$-equivariant analogue of the Seiberg-Witten equations on any irreducible Hermitian symmetric space $G/K$. We use a canonical $K$-invariant form to define a twisted Hodge operator generalising self-duality to higher dimensions. The resulting equivariant Seiberg-Witten equations arise, for a c...
We introduce a systematic scheme for constructing the ODE/IM counterpart of generalised Gibbs ensembles, and apply it to the chiral sector of the Lee--Yang conformal field theory. We encode the chemical potentials in a deformation of the cubic oscillator, fixed order by order by requiring that the large-energy WKB peri...
S. K. Ashok, Max Downing, Faisal Karimi et al.· 1 citation
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