Contatto di riferimento: Barbara Simoni
Partecipanti: Dr. Jean Emile Bourgine (KIAS, Seoul SOUTH Korea)
Abstract: Instanton partition functions of N=1 5d Super Yang-Mills reduced on S1 can be engineered in type IIB string theory from the (p,q)-branes web diagram. Branes intersections are associated to the (refined) topological vertex, while the $(p,q)$ diagram provides the gluing rules.
Furthermore, the partition function is covariant under the action of a quantum toroidal algebra, the Ding-Iohara-Miki (DIM) algebra. In this talk, we present the construction of a web of representations in bijection with the $(p,q)$ web diagram. To each brane is associated a different representation related through interwiners. These intertwiners generalize the fermionic presentation of the topological vertex to the refined case.
They lead to the construction of a T-operator, for which the vacuum expectation value reproduces the instanton partition functions. In fact, this T-operator is the Baxter operator of a new class of integrable systems characterized by a quantum toroidal algebra (an affine version of the usual quantum groups). With this method, it is also possible to obtain the qq-characters that encode the double quantization of the Seiberg- Witten curve.