5D Super Yang-Mills on Y p,q Sasaki-Einstein Manifolds
Jian Qiu,Maxim Zabzine +1 more
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In this article, the authors studied the special case of toric Sasaki-Einstein manifolds known as Y p,q,p,q and derived the full perturbative part of the partition function in terms of a special function which appears to be a curious generalisation of the triple sine function.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.read more
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