The chiral algebra bootstrap yields all-loop splitting functions for self-dual N=4 SYM, a proof of no double-pole OPEs, and novel two-loop form factors with anti-self-dual field strength insertions.
Costello,Quantizing local holomorphic field theories on twistor space,2111.08879
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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.
A Carrollian theory on null infinity reproduces all MHV and NMHV Yang-Mills tree amplitudes, with a new explicit NMHV expression.
Intersecting surface operators in 6d holomorphic Chern-Simons and BF theories produce local R-matrix-like operators with evidence for Yang-Baxter relations and derived coproducts from OPEs.
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Form factors of $\mathscr{N}=4$ self-dual Yang-Mills from the chiral algebra bootstrap
The chiral algebra bootstrap yields all-loop splitting functions for self-dual N=4 SYM, a proof of no double-pole OPEs, and novel two-loop form factors with anti-self-dual field strength insertions.
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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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Towards a Carrollian Description of Yang-Mills
A Carrollian theory on null infinity reproduces all MHV and NMHV Yang-Mills tree amplitudes, with a new explicit NMHV expression.
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Intersecting Surface Operators in 6d Holomorphic Field Theories
Intersecting surface operators in 6d holomorphic Chern-Simons and BF theories produce local R-matrix-like operators with evidence for Yang-Baxter relations and derived coproducts from OPEs.