Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2001-09-07
JHEP 0111 (2001) 046
Physics
High Energy Physics
High Energy Physics - Theory
38 pages, Latex, eps figures, uses epsfig.sty; references added
Scientific paper
10.1088/1126-6708/2001/11/046
Chiral primary operators annihilated by a quarter of the supercharges are constructed in the four dimensional N=4 Super-Yang-Mills theory with gauge group SU(N). These quarter-BPS operators share many non-renormalization properties with the previously studied half-BPS operators. However, they are much more involved, which renders their construction nontrivial in the fully interacting theory. In this paper we calculate order g^2 two-point functions of local, polynomial, scalar composite operators within a given representation of the SU(4) R-symmetry group. By studying these two-point functions, we identify the eigenstates of the dilatation operator, which turn out to be complicated mixtures of single and multiple trace operators. Given the elaborate combinatorics of this problem, we concentrate on two special cases. First, we present explicit computations for quarter-BPS operators with scaling dimension Delta < 8. In this case, the discussion applies to arbitrary N of the gauge group. Second, we carry out a leading plus subleading large N analysis for the particular class of operators built out of double and single trace operators only. The large N construction addresses quarter-BPS operators of general dimension.
No associations
LandOfFree
Quarter BPS Operators in N=4 SYM 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 Quarter BPS Operators in N=4 SYM, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Quarter BPS Operators in N=4 SYM will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-509175