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Journal of High Energy Physics

, 2013:148 | Cite as

Exact results for perturbative partition functions of theories with SU(2|4) symmetry

  • Yuhma AsanoEmail author
  • Goro Ishiki
  • Takashi Okada
  • Shinji Shimasaki
Article
First Online:

Abstract

In this paper, we study the theories with SU(2|4) symmetry which consist of the plane wave matrix model (PWMM), super Yang-Mills theory (SYM) on R × S 2 and SYM on R × S 3 /Z k. The last two theories can be realized as theories around particular vacua in PWMM, through the commutative limit of fuzzy sphere and Taylor’s T-duality. We apply the localization method to PWMM to reduce the partition function and the expectation values of a class of supersymmetric operators to matrix integrals. By taking the commutative limit and performing the T-duality, we also obtain the matrix integrals for SYM on R × S 2 and SYM on R × S 3 /Z k. In this calculation, we ignore possible instanton effects and our matrix integrals describe the perturbative part exactly. In terms of the matrix integrals, we also provide a nonperturbative proof of the large-N reduction for circular Wilson loop operator and free energy in \( \mathcal{N} \) = 4 SYM on R × S 3.

Keywords

Supersymmetric gauge theory Field Theories in Lower Dimensions M(atrix) Theories 
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Copyright information

© SISSA, Trieste, Italy 2013

Authors and Affiliations

  • Yuhma Asano
    • 1
    Email author
  • Goro Ishiki
    • 1
  • Takashi Okada
    • 1
  • Shinji Shimasaki
    • 1
  1. 1.Department of PhysicsKyoto UniversityKyotoJapan

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