# Gluing Nekrasov Partition Functions

@article{Qiu2015GluingNP, title={Gluing Nekrasov Partition Functions}, author={Jian Qiu and Luigi Tizzano and Jacob Winding and Maxim Zabzine}, journal={Communications in Mathematical Physics}, year={2015}, volume={337}, pages={785-816} }

In this paper we summarise the localisation calculation of 5D super Yang-Mills on simply connected toric Sasaki-Einstein (SE) manifolds. We show how various aspects of the computation, including the equivariant index, the asymptotic behaviour and the factorisation property are governed by the combinatorial data of the toric geometry. We prove that the perturbative partition function on a simply connected SE manifold corresponding to an n-gon toric diagram factorises to n copies of perturbative… Expand

#### 42 Citations

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On a five-dimensional simply connected Sasaki–Einstein manifold, one can construct Yang–Mills theories coupled to matter with at least two supersymmetries. The partition function of these theories… Expand

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Abstract
We investigate the relation between 3d
$$ \mathcal{N} $$
N
= 2 theories and 2d free field correlators or Dotsenko-Fateev (DF) integrals for Liouville CFT. We show that the S… Expand

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