Abstract
We give a unified approach to localization of maximally symmetric gauge theories on spheres, including S 6 and S 7. The approach follows Pestun’s method of dimensionally reducing from 10 dimensional super Yang-Mills. The resulting theories have a reduced R-symmetry which includes an SU(1, 1) subgroup, except in four dimensions where, because of conformal invariance, the full flat-space R-symmetry is maintained, and in seven dimensions where SU(1,1) is the flat-space R-symmetry. For the case of S 6 and S 7 we discuss the localization of these theories and also present new results for the corresponding matrix models. The matrix models for S 6 and S 7 are qualitatively similar to the matrix models of a vector multiplet on S 4 and S 5 respectively. We also discuss the contributions of instantons in the six and seven dimensional cases.
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ArXiv ePrint: 1502.07154
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Minahan, J.A., Zabzine, M. Gauge theories with 16 supersymmetries on spheres. J. High Energ. Phys. 2015, 155 (2015). https://doi.org/10.1007/JHEP03(2015)155
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DOI: https://doi.org/10.1007/JHEP03(2015)155