We report on the first systematic study of correlation functions in N=4 super Yang-Mills theory using integrability techniques. In particular, we show how to compute three- and four- point functions of single-trace gauge-invariant operators at tree level in the SU(2) sector of the theory. Using the AdS/CFT correspondence, the correlation functions that we compute can be thought of as the joining or splitting of strings moving in AdS5 × S5. We show that when one (two) of the operators in the three-(four-)point function are taken to be small BPS operators, our weak coupling results match perfectly with the strong coupling results in the Frolov-Tseytlin limit. We conclude by presenting some results that will be needed to extend the methods presented in this thesis beyond the SU(2) sector of N=4 super Yang-Mills.
| Identifer | oai:union.ndltd.org:WATERLOO/oai:uwspace.uwaterloo.ca:10012/6788 |
| Date | January 2012 |
| Creators | Escobedo, Jorge |
| Source Sets | University of Waterloo Electronic Theses Repository |
| Language | English |
| Detected Language | English |
| Type | Thesis or Dissertation |
Page generated in 0.002 seconds