McLoughlin, Tristan (2005) The near-Penrose limit of AdS/CFT. Dissertation (Ph.D.), California Institute of Technology. http://resolver.caltech.edu/CaltechETD:etd-05252005-175001
The conjectured duality between type IIB string theory on AdS5 x S5 and N = 4 SU(Nc) super Yang-Mills theory in four dimensions simplifies in the Penrose limit or, in other words, when the string's angular momentum is large. As the string action in this limit is solvable, it is possible to go beyond the supergravity approximation and compare exact string energies with the anomalous dimensions of a sector of large R-charge operators. This equivalence should of course extend to the full AdS5 x S5 space and to operators of finite R-charge. We take some modest steps in this direction by expanding the full string action in inverse powers of the angular momentum and finding the first order perturbative corrections to the energy spectrum. These corrections reproduce the gauge theory anomalous dimensions for a range of different operators to two-loops in the 't Hooft parameter but disagree at three-loops. Furthermore, these near-plane wave results are useful in studying the recently discovered integrability in this AdS/CFT system and can be used to motivate the form of quantum string scattering matrices.
|Item Type:||Thesis (Dissertation (Ph.D.))|
|Subject Keywords:||AdS/CFT; integrability; Penrose limits|
|Degree Grantor:||California Institute of Technology|
|Division:||Physics, Mathematics and Astronomy|
|Thesis Availability:||Public (worldwide access)|
|Defense Date:||18 May 2005|
|Author Email:||tristanm (AT) theory.caltech.edu|
|Default Usage Policy:||No commercial reproduction, distribution, display or performance rights in this work are provided.|
|Deposited By:||Imported from ETD-db|
|Deposited On:||02 Jun 2005|
|Last Modified:||26 Dec 2012 02:46|
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