Browsing by Author "Magro, Marc"

Now showing items 1-9 of 9

    • Affine q-deformed symmetry and the classical Yang-Baxter σ-model 

      Vicedo, Benoit; Delduc, Francois; Magro, Marc; Kameyama, Takashi (2017-03-23)
      The Yang-Baxter σ-model is an integrable deformation of the principal chiral model on a Lie group G. The deformation breaks the G × G symmetry to U(1)rank(G) × G. It is known that there exist non-local conserved charges ...

    • Derivation of the action and symmetries of the q-deformed AdS5×S5 superstring 

      Delduc, Francois; Magro, Marc; Vicedo, Benoit (2014-10)
      We recently proposed an integrable q-deformation of the AdS5 × S 5 superstring action. Here we give details on the hamiltonian origin and construction of this deformation. The procedure is a generalization of the one ...

    • Generalized sine-Gordon models and quantum braided groups 

      Delduc, Francois; Magro, Marc; Vicedo, Benoit (2013)
      We determine the quantized function algebras associated with various examples of generalized sine-Gordon models. These are quadratic algebras of the general Freidel-Maillet type, the classical limits of which reproduce the ...

    • An integrable deformation of the AdS5 x S5 superstring action 

      Magro, Marc; Delduc, Francois; Vicedo, Benoit (2014-02-05)
      An integrable deformation of the type IIB AdS5xS5 superstring action is presented. The deformed field equations, Lax connection, and k-symmetry transformations are given. The original psu (2,2\4) symmetry is expected to ...

    • Integrable double deformation of the principal chiral model 

      Delduc, Francois; Magro, Marc; Vicedo, Benoit (2015-02-01)
      We define a two-parameter family of integrable deformations of the principal chiral model on an arbitrary compact group. The Yang–Baxter σ-model and the principal chiral model with a Wess–Zumino term both correspond to ...

    • A lattice Poisson algebra for the Pohlmeyer reduction of the AdS5 x S5 superstring 

      Delduc, Francois; Magro, Marc; Vicedo, Benoit (2012-07-09)
      The Poisson algebra of the Lax matrix associated with the Pohlmeyer reduction of the AdS5×S5 superstring is computed from first principles. The resulting non-ultralocality is mild, which enables to write down a corresponding ...

    • On classical q-deformations of integrable sigma-models 

      Delduc, Francois; Magro, Marc; Vicedo, Benoit (2013-11-26)
      A procedure is developed for constructing deformations of integrable σ-models which are themselves classically integrable. When applied to the principal chiral model on any compact Lie group F, one recovers the Yang-Baxter ...

    • On q-deformed symmetries as Poisson-Lie symmetries and application to Yang-Baxter type models 

      Vicedo, Benoit; Magro, Marc; Delduc, Francois; Lacroix, Sylvain (2016-09-20)
      Yang–Baxter type models are integrable deformations of integrable field theories, such as the principal chiral model on a Lie group G or σ-models on (semi-)symmetric spaces G/F. The deformation has the effect of breaking ...

    • On the Hamiltonian integrability of the bi-Yang-Baxter sigma-model 

      Vicedo, Benoit; Magro, Marc; Delduc, Francois; Lacroix, Sylvain (2016-03-15)
      The bi-Yang-Baxter σ-model is a certain two-parameter deformation of the principal chiral model on a real Lie group G for which the left and right G-symmetries of the latter are both replaced by Poisson-Lie symmetries. It ...