ITMP Seminar "Higher spin symmetry/gravity and 3d bosonization duality"

Abstract: I discuss a rich class of 3d CFT’s - (Chern-Simons) vector models that were recently conjectured to exhibit a new duality - 3d bosonization duality. This duality can be explained as a consequence of a certain infinite-dimensional extension of conformal symmetry, known as slightly-broken higher spin symmetry. This is a new type of a physical symmetry and extends a Lie algebra to an L-infinity one. From the AdS/CFT vantage point, at least up to the 4-point functions the duality is also a consequence of existence of chiral higher spin gravity, which also implies the existence of new CFT’s that are closed hidden subsectors in Chern-Simons vector models.