The perturbative partition function of supersymmetric 5D Yang-Mills theory with matter on the five-sphere

  • Johan KällénEmail author
  • Jian Qiu
  • Maxim Zabzine


Based on the construction by Hosomichi, Seong and Terashima we consider N = 1 supersymmetric 5D Yang-Mills theory with matter on a five-sphere with radius r. This theory can be thought of as a deformation of the theory in flat space with deformation parameter r and this deformation preserves 8 supercharges. We calculate the full perturbative partition function as a function of \( {{{r} \left/ {{g_Y^2}} \right.}_M} \), where \( {g_Y}_M \) is the Yang-Mills coupling, and the answer is given in terms of a matrix model. We perform the calculation using localization techniques. We also argue that in the large N-limit of this deformed 5D Yang-Mills theory this matrix model provides the leading contribution to the partition function and the rest is exponentially suppressed.


Supersymmetric gauge theory Matrix Models Field Theories in Higher Dimensions 1/N Expansion 


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Copyright information

© SISSA, Trieste, Italy 2012

Authors and Affiliations

  1. 1.Department of Physics and AstronomyUppsala UniversityUppsalaSweden
  2. 2.I.N.F.N. and Dipartimento di FisicaSesto FiorentinoItaly

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