S-duality in N = 4 Yang-Mills theories with general gauge groups

Luciano Girardello, Amit Giveon, Massimo Porrati, Alberto Zaffaroni

    Research output: Contribution to journalArticlepeer-review


    't Hooft's construction of free energy, electric and magnetic fluxes, and of the partition function with twisted boundary conditions, is extended to the case of N = 4 supersymmetric Yang-Mills theories based on arbitrary compact, simple Lie groups. The transformation of the fluxes and the free energy under S-duality is presented. We consider the partition function of N = 4 for a particular choice of boundary conditions, and compute exactly its leading infrared divergence. We verify that this partition function obeys the transformation laws required by S-duality. This provides independent evidence in favor of S-duality in N = 4 theories.

    Original languageEnglish (US)
    Pages (from-to)127-165
    Number of pages39
    JournalNuclear Physics, Section B
    Issue number1-2
    StatePublished - Aug 14 1995

    ASJC Scopus subject areas

    • Nuclear and High Energy Physics


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