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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An algorithm based on homotopy transfer in L∞ algebras produces gauge-invariant fields for massive Kaluza-Klein modes that remain covariant under unbroken zero-mode gauge transformations.
Two inequivalent noncommutative QFTs are built on λ-Minkowski space: a braided version with logarithmic UV divergences and no UV/IR mixing, and a standard version with periodic UV/IR mixing where non-planar correlators are UV-finite but non-analytic at exceptional momenta.
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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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Homotopy transfer for massive Kaluza-Klein modes
An algorithm based on homotopy transfer in L∞ algebras produces gauge-invariant fields for massive Kaluza-Klein modes that remain covariant under unbroken zero-mode gauge transformations.
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Batalin-Vilkovisky quantization with an angular twist
Two inequivalent noncommutative QFTs are built on λ-Minkowski space: a braided version with logarithmic UV divergences and no UV/IR mixing, and a standard version with periodic UV/IR mixing where non-planar correlators are UV-finite but non-analytic at exceptional momenta.