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Title:
Toda 3-Point Functions From Topological Strings
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Abstract:
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. By computing the superconformal index of the 5D T_N theories, giving a method for taking the 4D limit and by providing the exact AGT-W dictionary, we obtain a prescription for the computation of the partition function of the 4D T_N theories on the four sphere, or equivalently the 3-point Toda structure constants. Our formula, has the correct symmetry properties, all the zeros that it should and, for N=2, gives the known answer for Liouville CFT.
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