386 citations · 1.8k across the 45 of their papers we have counts for
48 papers
On the structure of higher-dimensional integrable field theories
Marco Benini, Ryan A. Cullinan, Alexander Schenkel +1
We propose a general framework for integrable field theories in arbitrary spacetime dimension which is based on -term -algebras. Specifically, we introduce cycli…
Effective Hamiltonians and Wilson--Polchinski renormalisation
Ricky Li, Benoit Vicedo
We develop a novel approach to the Wilsonian renormalisation of Hamiltonians for 2-dimensional quantum field theories on the cylinder described in the UV by marginally relevant def…
The Magic Renormalisability of Affine Gaudin Models
Falk Hassler, Sylvain Lacroix, Benoit Vicedo
We study the renormalisation of a large class of integrable -models obtained in the framework of affine Gaudin models. They are characterised by a simple Lie algebra $\mathfrak{…
Universal first-order Massey product of a prefactorization algebra
Simen Bruinsma, Alexander Schenkel, Benoit Vicedo
This paper studies the universal first-order Massey product of a prefactorization algebra, which encodes higher algebraic operations on the cohomology. Explicit computations of the…
Integrable degenerate -models from 4d Chern-Simons theory
Joaquin Liniado, Benoit Vicedo
We present a general construction of integrable degenerate -models on a 2d manifold using the formalism of Costello and Yamazaki based on 4d Chern-Simons theory on…
Chirality in 2d pAQFT
Sam Crawford, Kasia Rejzner, Benoit Vicedo
In this article, which builds upon the work done in our previous paper, the chiral aspects of 2dcft on globally hyperbolic Lorentzian manifolds are developed and explored within th…
3-dimensional mixed BF theory and Hitchin's integrable system
Benoit Vicedo, Jennifer Winstone
The affine Gaudin model, associated with an untwisted affine Kac-Moody algebra, is known to arise from a certain gauge fixing of 4-dimensional mixed topological-holomorphic Chern-S…
Classical Yang-Baxter equation, Lagrangian multiforms and ultralocal integrable hierarchies
Vincent Caudrelier, Matteo Stoppato, Benoit Vicedo
We cast the classical Yang-Baxter equation (CYBE) in a variational context for the first time, by relating it to the theory of Lagrangian multiforms, a framework designed to captur…
Lorentzian 2d CFT from the pAQFT perspective
Sam Crawford, Kasia Rejzner, Benoit Vicedo
We provide a detailed construction of the quantum theory of the massless scalar field on 2-dimensional, globally-hyperbolic (in particular, Lorentzian) manifolds using the framewor…
On the Zakharov-Mikhailov action: d Chern-Simons origin and covariant Poisson algebra of the Lax connection
Vincent Caudrelier, Matteo Stoppato, Benoit Vicedo
We derive the d Zakharov-Mikhailov action from d Chern-Simons theory. This d action is known to produce as equations of motion the flatness condition of a large class of L…
Integrable -Models, 4d Chern-Simons Theory and Affine Gaudin Models. I. Lagrangian Aspects
Sylvain Lacroix, Benoit Vicedo
We construct the actions of a very broad family of 2d integrable -models. Our starting point is a universal 2d action obtained in [arXiv:2008.01829] using the framework of Coste…
Kondo line defects and affine Gaudin models
Davide Gaiotto, Ji Hoon Lee, Benoit Vicedo +1
We describe the relation between integrable Kondo problems in products of chiral WZW models and affine Gaudin models. We propose a full ODE/IM solution of the spect…
Homotopical analysis of 4d Chern-Simons theory and integrable field theories
Marco Benini, Alexander Schenkel, Benoit Vicedo
This paper provides a detailed study of -dimensional Chern-Simons theory on for an arbitrary meromorphic -form on . Usi…
Ultralocal Lax connection for para-complex -cosets
Francois Delduc, Takashi Kameyama, Sylvain Lacroix +2
We consider -models on para-complex -cosets, which are analogues of those on complex homogeneous target spaces considered recently by D. Bykov. For these models, w…
Holomorphic Chern-Simons theory and affine Gaudin models
Benoit Vicedo
We relate two formalisms recently proposed for describing classical integrable field theories. The first is based on the action of four-dimensional holomorphic Chern-Simons theory…
A unifying 2d action for integrable -models from 4d Chern-Simons theory
Francois Delduc, Sylvain Lacroix, Marc Magro +1
In the approach recently proposed by K. Costello and M. Yamazaki, which is based on a four-dimensional variant of Chern-Simons theory, we derive a simple and unifying two-dimension…
Assembling integrable sigma-models as affine Gaudin models
Francois Delduc, Sylvain Lacroix, Marc Magro +1
We explain how to obtain new classical integrable field theories by assembling two affine Gaudin models into a single one. We show that the resulting affine Gaudin model depends on…
Integrable coupled sigma-models
Francois Delduc, Sylvain Lacroix, Marc Magro +1
A systematic procedure for constructing classical integrable field theories with arbitrarily many free parameters is outlined. It is based on the recent interpretation of integrabl…
The solutions of Bethe ansatz equation and rational pseudodifferential operators
Chenliang Huang, Evgeny Mukhin, Benoît Vicedo +1
We describe a reproduction procedure which, given a solution of the Gaudin Bethe ansatz equation associated to a tensor product of polynomial modules, produce…
Cubic hypergeometric integrals of motion in affine Gaudin models
Sylvain Lacroix, Benoit Vicedo, Charles A. S. Young
We construct cubic Hamiltonians for quantum Gaudin models of affine types . They are given by hypergeometric integrals of a form we recently conjectured in a…
Affine Gaudin models and hypergeometric functions on affine opers
Sylvain Lacroix, Benoit Vicedo, Charles A. S. Young
We conjecture that quantum Gaudin models in affine types admit families of local higher Hamiltonians, labelled by the (countably infinite set of) exponents, whose eigenvalues are g…
-Dualities in Gaudin Models with Irregular Singularities
Benoit Vicedo, Charles Young
We establish -dualities between quantum Gaudin models with irregular singularities. Specifically, for any we…
Local charges in involution and hierarchies in integrable sigma-models
Sylvain Lacroix, Marc Magro, Benoit Vicedo
Integrable -models, such as the principal chiral model, -coset models for and their various integrable deformations, are examples o…
On integrable field theories as dihedral affine Gaudin models
Benoit Vicedo
We introduce the notion of a classical dihedral affine Gaudin model, associated with an untwisted affine Kac-Moody algebra equipped with an action of the…