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>

The double coset ansatz for integrability in AdS/CFT

12 Jul 2012, 14:10
20m
Oral Presentation Track G - Theoretical and Computational Physics Theoretical

Speaker

Prof. Robert de Mello Koch (University of the Witwatersrand)

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

We give a proof that the expected counting of strings attached to giant graviton branes in AdS_5 x S^5, as constrained by the Gauss Law, matches the dimension spanned by the expected dual operators in the gauge theory. The counting of string-brane configurations is formulated as a graph counting problem, which can be expressed as the number of points on a double coset involving permutation groups. Fourier transformation on the double coset suggests an ansatz for the diagonalization of the one-loop dilatation operator in this sector of strings attached to giant graviton branes. The ansatz agrees with and extends recent results which have found the dynamics of open string excitations of giants to be given by harmonic oscillators.

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Primary author

Prof. Robert de Mello Koch (University of the Witwatersrand)

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