Speaker
Aleksandr Trufanov
Description
We revisit the classical coset construction sl(2)1 ⊕ sl(2)k. We find the formulas for the highest weight vectors in coset decomposition and calculate their norms. We also derive formulas for matrix elements of certain vertex operators between these vectors. The results were motivated by the Nekrasov approach to the Kiev formulas for the Painlev´e tau-functions.
