Jihwan Oh - Twisted holography of M2 and M5 branes

I will review a recent development of twisted holography, pioneered by Kevin Costello. Main examples will be twisted M-theory with M2 branes and M5 branes. After describing the Omega deformed and topologically twisted background, I will discuss how to extract operator algebras of both sides of the twisted M-theory and draw an isomorphism between them. The operator algebras of M2 and M5 branes are subalgebras of affine gl(1) Yangian. I will explain how we can understand fusions of the algebras in the gravity side, based on my work with Yehao Zhou