5D Super Yang-Mills on Y p,q Sasaki-Einstein manifolds

Reference : 5D Super Yang-Mills on Y p,q Sasaki-Einstein manifolds


	Document type :	E-prints/Working papers : Already available on another site
	Discipline(s) :	Physical, chemical, mathematical & earth Sciences : Physics
	To cite this reference:	http://hdl.handle.net/10993/13658

Title :	5D Super Yang-Mills on Y p,q Sasaki-Einstein manifolds
Language :	English
Author, co-author :	Qiu, Jian [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
	Zabzine, Maxim [Uppsala University]
Publication date :	2013
Peer reviewed :	No
Keywords :	[en] Super Yang-Mills ; Localisation ; Contact Geometry
Abstract :	[en] 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 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.
Permalink :	http://hdl.handle.net/10993/13658
source URL :	http://arxiv.org/abs/1307.3149

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