Abstract
We study properties of the full partition function for the U(1) 5D \( \mathcal{N} = {2}^{\ast } \) gauge theory with adjoint hypermultiplet of mass M . This theory is ultimately related to abelian 6D (2,0) theory. We construct the full non-perturbative partition function on toric Sasaki-Einstein manifolds by gluing flat copies of the Nekrasov partition function and we express the full partition function in terms of the generalized double elliptic gamma function G C2 associated with a certain moment map cone C. The answer exhibits a curious SL(4, ℤ) modular property. Finally, we propose a set of rules to construct the partition function that resembles the calculation of 5d supersymmetric partition function with the insert ion of defects of various co-dimensions.
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Qiu, J., Tizzano, L., Winding, J. et al. Modular properties of full 5D SYM partition function. J. High Energ. Phys. 2016, 193 (2016). https://doi.org/10.1007/JHEP03(2016)193
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DOI: https://doi.org/10.1007/JHEP03(2016)193