Toda 3-Point Functions From Topological Strings

Understand

We consider the long-standing problem of obtaining the 3-point functions of Toda CFT.

• Our main tools are topological strings and the AGT-W relation between gauge theories and 2D CFTs.
• In arXiv:1310.3841 we computed the partition function of 5D $T_N$ theories on $S^4 \times S^1$ and suggested that they should be interpreted as the three-point structure constants of q-deformed Toda.
• In this paper, we provide the exact AGT-W dictionary for this relation and rewrite the 5D $T_N$ partition function in a form that makes taking the 4D limit possible.