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arXiv 1508.00554hep-th
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对N=4 SYM的有效action的瞬子修正

Instanton corrections to the effective action of N=4 SYM

Massimo Bianchi, Jose Francisco Morales, Congkao Wen

摘要:

本文计算了N=4超Yang-Mills理论在规范群Sp(2N)下的单瞬子有效作用量。结果可以写成非常紧凑和明显的超对称形式,涉及N=4个壳层超场的无理函数的超空间上的积分。在库仑分支中,瞬子修正了MHV和次MHV的高阶导数项D^4F^{2n+2}和F^{2n+4}。我们确认在非微扰水平的MHV F^{2n+2}项的非重整化定理,预计将收到微扰校正只有在n-循环。我们还计算了D^4F^4项的单圈和双圈修正,并证明了它在SL(2,Z)对偶下的完备性与U(2)规范群的单瞬子结果是一致的。

英文摘要:

We 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 the N=4 on-shell superfields. In the Coulomb branch, the instanton corrects both the MHV and next-to-next-MHV higher derivative terms D^4F^{2n+2} and F^{2n+4}. We confirm at the non-perturbative level the non-renormalization theorems for MHV F^{2n+2} terms 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 term and show that its completion under SL(2,Z) duality is consistent with the one-instanton results of U(2) gauge group.

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