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Search: authors:"Joseph A. Minahan"

6 papers found.
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One-loop tests of supersymmetric gauge theories on spheres

We show that a recently conjectured form for perturbative supersymmetric partition functions on spheres of general dimension d is consistent with the flat space limit of 6-dimensional \( \mathcal{N} \) = 1 super Yang-Mills. We also show that the partition functions for \( \mathcal{N} \) =18-and9-dimensionaltheoriesareconsistentwiththeirknownflatspacelimits.

Localizing gauge theories on S d

We conjecture the form of the one-loop determinants for localized gauge theories with eight supersymmetries on d-dimensional spheres. Combining this with results for the localized action, we investigate the strong coupling behavior in the large N limit for a continuous range of d. In particular, we find the N dependence of the free energy for supersymmetric Yang-Mills with only a ...

Three-point correlators from string amplitudes: mixing and Regge spins

This paper has two parts. We first compute the leading contribution to the strong-coupling mixing between the Konishi operator and a double-trace operator composed of chiral primaries by using flat-space vertex operators for the string-duals of the operators. We then compute the three-point functions for protected or unprotected scalar operators with higher spin operators on the ...

Gauge theories with 16 supersymmetries on spheres

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 ...

Phases of planar 5-dimensional supersymmetric Chern-Simons theory

In this paper we investigate the large-N behavior of 5-dimensional \( \mathcal{N} \) = 1 super Yang-Mills with a level k Chern-Simons term and an adjoint hypermultiplet. As in three-dimensional Chern-Simons theories, one must choose an integration contour to completely define the theory. Using localization, we reduce the path integral to a matrix model with a cubic action and ...

Computing three-point functions for short operators

We compute the three-point structure constants for short primary operators of \( \mathcal{N} \) = 4 super Yang-Mills theory to leading order in \( {1 \left/ {{\sqrt{\lambda }}} \right.} \) by mapping the problem to a flat-space string theory calculation. We check the validity of our procedure by comparing to known results for three chiral primaries. We then compute the three-point ...