Thursday, April 4, 2013

1304.1016 (Joseph A. Minahan et al.)

5D super Yang-Mills theory and the correspondence to AdS$_7$/CFT$_6$    [PDF]

Joseph A. Minahan, Anton Nedelin, Maxim Zabzine
We study the relation between 5D super Yang-Mills theory and the holographic description of 6D (2,0) superconformal theory. We start by clarifying some issues related to the localization of N=1 SYM with matter on S^5. We concentrate on the case of a single adjoint hypermultiplet with a mass term and argue that the theory has a symmetry enlargement at mass M=1/(2r), where r is the S^5 radius. However, in order to have a well-defined localization locus it is necessary to rotate M onto the imaginary axis, breaking the enlarged symmetry. Based on our prescription, the imaginary mass values are physical and we show how the localized path integral is consistent with earlier results for 5D SYM in flat space. We then compute the free energy and the expectation value for a circular Wilson loop in the large N limit. The Wilson loop calculation shows that the physical coupling is rescaled by a constant factor at strong coupling. Taking into account this factor, we find agreement between the SYM free energy and the corresponding supergravity calculation when we choose the mass to be the Euclidean rotation of the symmetry enlargement point. We also verify numerically some of our analytic approximations.
View original: http://arxiv.org/abs/1304.1016

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