The planar limit of $$ \mathcal{N} $$ = 2 chiral correlators
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Abstract We derive the planar limit of 2- and 3-point functions of single-trace chiral primary operators of $$ \mathcal{N} $$ N = 2 SQCD on S4, to all orders in the ’t Hooft coupling. In order to do so, we first obtain a combinatorial expression for the planar free energy of a hermitian matrix model with an infinite number of arbitrary single and double trace terms in the potential; this solution might have applications in many other contexts. We then use these results to evaluate the analogous planar correlation functions on ℝ4. Specifically, we compute all the terms with a single value of the ζ function for a few planar 2- and 3-point functions, and conjecture general formulas for these terms for all 2- and 3-point functions on ℝ4.
2004 ◽
Vol 2004
(11)
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pp. 031-031
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2014 ◽
Vol 03
(03)
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pp. 1450013
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Keyword(s):
1993 ◽
Vol 08
(30)
◽
pp. 2875-2890
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2006 ◽
Vol 2006
(03)
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pp. 014-014
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Keyword(s):