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arXiv · 0909.3412

Recursion relations in CFT and N=2 SYM theory

Rubik Poghossian
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Abstract

Based on prototypical example of Al.Zamolodchikov's recursion relations for the four point conformal block and using recently proposed Alday-Gaiotto-Tachikawa (AGT) conjecture, recursion relations are derived for the generalized prepotential of ${\cal N}=2$ SYM with $f=0,1,2,3,4$ (anti) fundamental or an adjoint hypermultiplets. In all cases the large expectation value limit is derived explicitly. A precise relationship between generic 1-point conformal block on torus and specific 4-point conformal block on sphere is established. In view of AGT conjecture this translates into a relation between partition functions with an adjoint and 4 fundamental hypermultiplets.

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Rubik Poghossian. 2009-09-18. Recursion relations in CFT and N=2 SYM theory. https://doi.org/10.1088/1126-6708/2009/12/038

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