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The near-Penrose limit of AdS/CFT

Citation

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

Abstract

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
Major Option:Physics
Thesis Availability:Public (worldwide access)
Research Advisor(s):
  • Schwarz, John H.
Thesis Committee:
  • Schwarz, John H. (chair)
  • Weinstein, Alan Jay
  • Kapustin, Anton N.
  • Wise, Mark B.
Defense Date:18 May 2005
Author Email:tristanm (AT) theory.caltech.edu
Record Number:CaltechETD:etd-05252005-175001
Persistent URL:http://resolver.caltech.edu/CaltechETD:etd-05252005-175001
Default Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:2054
Collection:CaltechTHESIS
Deposited By: Imported from ETD-db
Deposited On:02 Jun 2005
Last Modified:26 Dec 2012 02:46

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