9-13 July 2012
Africa/Johannesburg timezone
<a href="http://events.saip.org.za/internalPage.py?pageId=11&confId=14"><font color=#ff0000>SAIP2012 PROCEEDINGS AVAILABLE</font></a>

From Large N Nonplanar Anomalous Dimensions to Open Spring Theory

12 Jul 2012, 12:00
Oral Presentation Track G - Theoretical and Computational Physics Theoretical


Mr Garreth Kemp (University of the Witwatersrand)

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Abstract content <br> &nbsp; (Max 300 words)

According to the AdS/CFT correspondence, the conformal dimension of an operator in the N = 4 Super Yang-Mills theory is dual to the energy of the
corresponding state in IIB string theory on the AdS5× S5 background. In this work, we solve the eigenvalue problem of the one-loop dilatation operator
acting on restricted Schur polynomials whose dimension is O(N), where N is large. After diagonalizing this action, the nonplanar anomalous dimension
spectrum is found to match that of a classical system of oscillating springs between masses. This result provides further support that these field theory
operators are dual to excited giant gravitons in the dual string theory.

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Main supervisor (name and email)<br>and his / her institution

Robert de Mello Koch, robert@neo.phys.wits​.ac.za,
University of the Witwatersrand

Primary authors

Mr Garreth Kemp (University of the Witwatersrand) Prof. Robert de Mello Koch (University of the Witwatersrand) Ms Stephanie Smith (University of the Witwatersrand)

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