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26 April 2024
 
  » arxiv » 1508.0554

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Instanton corrections to the effective action of N=4 SYM
Massimo Bianchi ; Jose Francisco Morales ; Congkao Wen ;
Date 3 Aug 2015
AbstractWe compute the one-instanton effective action of N=4 super Yang-Mills theory with gauge group Sp(2N). The result can be written in a very compact and manifestly supersymmetric form involving an integral over the superspace of an irrational function of N=4 on-shell superfields. In the Coulomb branch, the instanton corrects both the MHV and next-to-next-MHV gluon couplings D^4F^{2n+2} and F^{2n+4} as well as their super-symmetrically related partners. We confirm at the non-perturbative level the non-renormalization theorems for MHV couplings F^{2n+2} that are expected to receive perturbative corrections only at n-loops. We compute also the one and two-loop corrections to the D^4F^4 coupling and show that its completion under SL(2,Z) duality is consistent with the one-instanton results of U(2) gauge group.
Source arXiv, 1508.0554
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