Derives μ-frame auxiliary deformation of 2D BM model and uplifts both ν- and μ-frames to 4D higher-derivative theory lacking manifest diffeomorphism invariance.
Integrable Deformations of the Breitenlohner-Maison Model from 4d Chern-Simons Theory
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abstract
We derive integrable deformations of the 2d Breitenlohner-Maison (BM) sigma model that describes the stationary, axisymmetric sector of 4d general relativity, as well as higher-rank generalisations thereof, using the framework of 4d Chern-Simons theory. In particular, we consider deformations of the boundary conditions and action of the 4d Cole-Weck model, which lead to deformations of the BM model associated with solutions to the homogeneous and inhomogeneous classical Yang-Baxter equations respectively.
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Generalizes the BIZZ recursive procedure and provides sufficient conditions under which auxiliary field deformations of integrable sigma models retain classical Yangian symmetry and Maillet bracket structure.
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The auxiliary-deformed Breitenlohner-Maison model: duality frames and higher-dimensional origin
Derives μ-frame auxiliary deformation of 2D BM model and uplifts both ν- and μ-frames to 4D higher-derivative theory lacking manifest diffeomorphism invariance.
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The classical Yangian symmetry of Auxiliary Field Sigma Models
Generalizes the BIZZ recursive procedure and provides sufficient conditions under which auxiliary field deformations of integrable sigma models retain classical Yangian symmetry and Maillet bracket structure.