# Wilson loops and free energies in $3d$ $\mathcal{N}=4$ SYM: exact results, exponential asymptotics and duality

20 Mar 2019 Tierz Miguel

We show that $U(N)$ $3d$ $\mathcal{N}=4$ supersymmetric gauge theories on $S^{3}$ with $N_{f}$ massive fundamental hypermultiplets and with a Fayet-Iliopoulos (FI) term are solvable in terms of generalized Selberg integrals. Finite $N$ expressions for the partition function and Wilson loop in arbitrary representations are given... (read more)

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• HIGH ENERGY PHYSICS - THEORY
• MATHEMATICAL PHYSICS
• MATHEMATICAL PHYSICS