Comments on 1/16 BPS Quantum States and Classical Configurations

Details Comments on 1/16 BPS Quantum States and Classical Configurations Comments on 1/16 BPS Quantum States and Classical Configurations

2008-03-28

arxiv.org/abs/0803.4183v1

JHEP 0805:049,2008

Physics

High Energy Physics

High Energy Physics - Theory

61 pages

Scientific paper

10.1088/1126-6708/2008/05/049

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 C^2. 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 R^4 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 C^2 and lifts to a nearby solution of the interacting Bogomolnyi equations only when the constraints equivalent to Q cohomology are obeyed.

Affiliated with

Also associated with

No associations

Rating

Comments on 1/16 BPS Quantum States and Classical Configurations does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Comments on 1/16 BPS Quantum States and Classical Configurations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Comments on 1/16 BPS Quantum States and Classical Configurations will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-174444