Abstract
On any simply connected Sasaki–Einstein five dimensional manifold one can construct a super Yang–Mills theory which preserves at least two supersymmetries. We study the special case of toric Sasaki–Einstein manifolds known as Y p,q manifolds. We use the localisation technique to compute the full perturbative part of the partition function. The full equivariant result is expressed in terms of a certain special function which appears to be a curious generalisation of the triple sine function. As an application of our general result we study the large N behaviour for the case of single hypermultiplet in adjoint representation and we derive the N 3-behaviour in this case.
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Communicated by N. A. Nekrasov
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Qiu, J., Zabzine, M. 5D Super Yang–Mills on Y p,q Sasaki–Einstein Manifolds. Commun. Math. Phys. 333, 861–904 (2015). https://doi.org/10.1007/s00220-014-2194-7
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DOI: https://doi.org/10.1007/s00220-014-2194-7