Non-commutative 5d Chern-Simons theory on the spinor bundle compactifies to the KP equation, with vanishing tree amplitudes and W_{1+∞} defect algebra reducing to w_{1+∞} in the dispersionless limit.
4D Chern–Simons theory and affine Gaudin models
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Extends auxiliary deformations of the 2D BM model to the μ-frame and uplifts both frames to a 4D higher-derivative theory without manifest diffeomorphism invariance.
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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Non-Commutative Gauge Theory at the Beach
Non-commutative 5d Chern-Simons theory on the spinor bundle compactifies to the KP equation, with vanishing tree amplitudes and W_{1+∞} defect algebra reducing to w_{1+∞} in the dispersionless limit.
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The auxiliary-deformed Breitenlhoner-Maison model: duality frames and higher-dimensional origin
Extends auxiliary deformations of the 2D BM model to the μ-frame and uplifts both frames to a 4D higher-derivative theory without 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.