N=2 supersymmetric gauge theory on connected sums of S2×S2
Authors: Guido Festuccia, Jian Qiu, Jacob Winding, Zabzine Maxim Preprint number: UUITP-30/16 We construct 4D N=2 theories on an infinite family of 4D toric manifolds with the topology of connected sums of S2×S2. These theories are constructed through the dimensional reduction along a non-trivial U(1)-fiber of 5D theories on toric Sasaki-Einstein manifolds. We discuss the conditions under which such reductions can be carried out and give a partial classification result of the resulting 4D manifolds. We calculate the partition functions of these 4D theories and they involve both instanton and anti-instanton contributions, thus generalizing Pestun's famous result on S4.
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We construct 4D N=2 theories on an infinite family of 4D toric manifolds with the topology of connected sums of S2×S2. These theories are constructed through the dimensional reduction along a non-trivial U(1)-fiber of 5D theories on toric Sasaki-Einstein manifolds. We discuss the conditions under which such reductions can be carried out and give a partial classification result of the resulting 4D manifolds. We calculate the partition functions of these 4D theories and they involve both instanton and anti-instanton contributions, thus generalizing Pestun's famous result on S4.