Integrable (d+1)-dimensional field theories are obtained via homotopy transfer from cyclic L_infinity-algebras describing topological-holomorphic higher Chern-Simons theories on M × CP¹, with integrability encoded in a map to higher Lax connections.
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A 4D analogue of the Yang-Baxter sigma model is derived from 6D twistor-space Chern-Simons theory via symmetry reduction, with its 2D equations embedded in anti-self-dual Yang-Mills.
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On the structure of higher-dimensional integrable field theories
Integrable (d+1)-dimensional field theories are obtained via homotopy transfer from cyclic L_infinity-algebras describing topological-holomorphic higher Chern-Simons theories on M × CP¹, with integrability encoded in a map to higher Lax connections.
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The Yang-Baxter Sigma Model from Twistor Space
A 4D analogue of the Yang-Baxter sigma model is derived from 6D twistor-space Chern-Simons theory via symmetry reduction, with its 2D equations embedded in anti-self-dual Yang-Mills.