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
20m
Oral Presentation Track G - Theoretical and Computational Physics Theoretical

Speaker

Mr Garreth Kemp (University of the Witwatersrand)

Level for award<br>&nbsp;(Hons, MSc, <br> &nbsp; PhD)?

Ph.D.

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.

Would you like to <br> submit a short paper <br> for the Conference <br> Proceedings (Yes / No)?

No

Apply to be<br> consider for a student <br> &nbsp; award (Yes / No)?

Yes

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)

Presentation Materials

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