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

Luciano Girardello, Amit Giveon, Massimo Porrati, Alberto Zaffaroni

    Research output: Contribution to journalArticle

    Abstract

    '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
    Volume448
    Issue number1-2
    DOIs
    StatePublished - Aug 14 1995

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    Yang-Mills theory
    partitions
    free energy
    boundary conditions
    magnetic flux
    divergence

    ASJC Scopus subject areas

    • Nuclear and High Energy Physics

    Cite this

    S-duality in N = 4 Yang-Mills theories with general gauge groups. / Girardello, Luciano; Giveon, Amit; Porrati, Massimo; Zaffaroni, Alberto.

    In: Nuclear Physics, Section B, Vol. 448, No. 1-2, 14.08.1995, p. 127-165.

    Research output: Contribution to journalArticle

    Girardello, L, Giveon, A, Porrati, M & Zaffaroni, A 1995, 'S-duality in N = 4 Yang-Mills theories with general gauge groups', Nuclear Physics, Section B, vol. 448, no. 1-2, pp. 127-165. https://doi.org/10.1016/0550-3213(95)00177-T
    Girardello, Luciano ; Giveon, Amit ; Porrati, Massimo ; Zaffaroni, Alberto. / S-duality in N = 4 Yang-Mills theories with general gauge groups. In: Nuclear Physics, Section B. 1995 ; Vol. 448, No. 1-2. pp. 127-165.
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