Integrability in AdS/CFT: Exact Results for Correlation Functions

Escobedo, Jorge

Integrability in AdS/CFT: Exact Results for Correlation Functions

Jorge Escobedo
(
- Waterloo U.
)

Apr, 2012

185 pages

Supervisors:

Pedro Vieira
(
- Perimeter Inst. Theor. Phys.
)
,
Robert Charles Myers
(
- Perimeter Inst. Theor. Phys.
)

Thesis: PhD

Waterloo U.

(defense: Apr, 2012)

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Abstract:

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.

supersymmetry: 4
field theory: conformal
operator: BPS
gauge field theory: Yang-Mills
invariance: gauge
correlation function
AdS/CFT correspondence
integrability
SU(2)
tree approximation

References(138)

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