Matching Higher Conserved Charges for Strings and Spins

Details Matching Higher Conserved Charges for Strings and Spins Matching Higher Conserved Charges for Strings and Spins

2003-10-20

arxiv.org/abs/hep-th/0310182v2

JHEP 0403:004,2004

Physics

High Energy Physics

High Energy Physics - Theory

Latex, 33 pages, v2: new section added (completing the analytic proof that the entire infinite towers of commuting gauge and s

Scientific paper

10.1088/1126-6708/2004/03/004

We demonstrate that the recently found agreement between one-loop scaling dimensions of large dimension operators in N=4 gauge theory and energies of spinning strings on AdS_5 x S^5 extends to the eigenvalues of an infinite number of hidden higher commuting charges. This dynamical agreement is of a mathematically highly intricate and non-trivial nature. In particular, on the gauge side the generating function for the commuting charges is obtained by integrable quantum spin chain techniques from the thermodynamic density distribution function of Bethe roots. On the string side the generating function, containing information to arbitrary loop order, is constructed by solving exactly the Backlund equations of the integrable classical string sigma model. Our finding should be an important step towards matching the integrable structures on the string and gauge side of the AdS/CFT correspondence.

Affiliated with

Also associated with

No associations

Rating

Matching Higher Conserved Charges for Strings and Spins 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 Matching Higher Conserved Charges for Strings and Spins, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Matching Higher Conserved Charges for Strings and Spins will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-421112