Comments on 1/16 BPS quantum states and classical configurations

Grant, Lars ; Grassi, Pietro A. ; Kim, Seok ; Minwalla, Shiraz (2008) Comments on 1/16 BPS quantum states and classical configurations Journal of High Energy Physics, 2008 (05). No pp. given.. ISSN 1126-6708

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Official URL: http://iopscience.iop.org/1126-6708/2008/05/049

Related URL: http://dx.doi.org/10.1088/1126-6708/2008/05/049

Abstract

We formulate the problem of counting 1/16 BPS states of N=4 Yang Mills theory as the enumeration of the local cohomology of an operator acting on holomorphic fields on C2. We study aspects of the enumeration of this cohomology at finite N, especially for operators constructed only out of products of covariant derivatives of scalar fields, and compare our results to the states obtained from the quantization of giant gravitons and dual giants. We physically interpret the holomorphic fields that enter our conditions for supersymmetry semi-classically by deriving a set of Bogomolnyi equations for 1/16-BPS bosonic field configurations in N=4 Yang Mills theory on R4 with reality properties and boundary conditions appropriate to radial quantization. An arbitrary solution to these equations in the free theory is parameterized by holomorphic data on C2 and lifts to a nearby solution of the interacting Bogomolnyi equations only when the constraints equivalent to Q cohomology are obeyed.

Item Type:Article
Source:Copyright of this article belongs to Institute of Physics.
Keywords:Supersymmetric Gauge Theory; Ads-CFT and Ds-CFT Correspondence; Black Holes in String Theory
ID Code:63750
Deposited On:29 Sep 2011 13:29
Last Modified:29 Sep 2011 13:29

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