Speaker
Description
In four spacetime dimensions, the self-dual sectors of gauge theory and gravity have infinite-dimensional chiral symmetry algebras which live on the Riemann sphere. These play a crucial role in the celestial holography programme, enabling the bootstrap of all-order collinear expansions and underpinning the only known top-down constructions for asymptotically flat holography. In higher dimensions, it has been unclear how or if these chiral algebras generalise, though. I will describe how chiral algebras can be defined for certain subsectors of gauge theory and gravity when the spacetime dimension is an integer multiple of four. Remarkably, the resulting algebras are still defined on the Riemann sphere, raising some interesting questions about how celestial holography could be implemented in higher-dimensions.
