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5D Super Yang-Mills on Y p,q Sasaki-Einstein manifolds
QIU, Jian; Zabzine, Maxim
2013
 

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Keywords :
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.
Disciplines :
Physics
Author, co-author :
QIU, Jian ;  University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit
Zabzine, Maxim;  Uppsala University
Language :
English
Title :
5D Super Yang-Mills on Y p,q Sasaki-Einstein manifolds
Publication date :
2013
Available on ORBilu :
since 23 December 2013

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