Iterative Structure of the N=4 SYM Spin Chain

Details Iterative Structure of the N=4 SYM Spin Chain Iterative Structure of the N=4 SYM Spin Chain

2008-06-11

arxiv.org/abs/0806.1786v2

JHEP 0807:114,2008

Physics

High Energy Physics

High Energy Physics - Theory

49 pages, v2: references added, minor changes

Scientific paper

10.1088/1126-6708/2008/07/114

We develop algebraic methods for finding loop corrections to the N=4 SYM dilatation generator, within the noncompact psu(1,1|2) sector. This sector gives a 't Hooft coupling lambda-dependent representation of psu(1,1|2) times psu(1|1)^2. At first working independently of the representation, we present an all-order algebraic ansatz for the lambda-dependence of this Lie algebra's generators. The ansatz solves the symmetry constraints if an auxiliary generator, h, satisfies certain simple commutation relations with the Lie algebra generators. Applying this to the psu(1,1|2) sector leads to an iterative solution for the planar three-loop dilatation generator in terms of leading order symmetry generators and h, which passes a thorough set of spectral tests. We argue also that this algebraic ansatz may be applicable to the nonplanar theory as well.

Affiliated with

Also associated with

No associations

Rating

Iterative Structure of the N=4 SYM Spin Chain 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 Iterative Structure of the N=4 SYM Spin Chain, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Iterative Structure of the N=4 SYM Spin Chain will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-264674