Supersymmetric Yangian, DIM algebra, and AGT relation

by Dr Kilar Zhang (Institute of Theoretical Physics, Chinese Academy of Sciences)

Wednesday 18 Apr 2018, 14:00 → 15:00 Europe/Rome

Aula Teorici (DIFA)

The affine Yangian of {gl}_1 is known to be isomorphic to W_{1+\infty}, the W-algebra that characterizes the bosonic higher spin -- CFT duality.We propose defining relations of the Yangian that is relevant for the N=2 superconformal version of W_{1+\infty}. Our construction is based on the observation that the N=2 superconformal W_{1+\infty} algebra contains two commuting bosonic W_{1+\infty} algebras, and that the additional generators transform in bi-minimal representations with respect to these two algebras. The corresponding affine Yangian can therefore be built up from two affine Yangians of {gl}_1 by adding in generators that transform appropriately. Besides, I will discuss other quantum algebras intertwined in AGT relation.