4-8 July 2016
Kramer Law building
Africa/Johannesburg timezone
<a href="http://events.saip.org.za/internalPage.py?pageId=10&confId=86">The Proceedings of SAIP2016</a> published on 24 December 2017

BPS Geometries

6 Jul 2016, 11:30
20m
2A (Kramer Law building)

2A

Kramer Law building

UCT Middle Campus Cape Town
Oral Presentation Track G - Theoretical and Computational Physics Theoretical and Computational Physics (1)

Speaker

Mr Lwazi Nkumane (University of the witwatersrand)

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

Yes

Abstract content <br> &nbsp; (Max 300 words)<br><a href="http://events.saip.org.za/getFile.py/access?resId=0&materialId=0&confId=34" target="_blank">Formatting &<br>Special chars</a>

We study the example of the AdS/CFT correspondence betwee type IIB string theory on spacetimes that are asymptotically AdS5 × S5 and N = 4 super Yang-Mills Theory. We consider states in the field theory dual to 1/2 and 1/4 BPS string theory backgrounds. The boundary condition for the supergravity solution is determined by a function which satisfies the Laplace equation. For regular geometries, this function must take values ±1/2 on a certain two dimensional plane. In the dual theory, this plane is identified with a phase space of Fermions by mapping the regions with ±1/2 to occupied and unoccupied states. This can be visualized as separated white and black regions. The boundary separating these two region can have any shape for 1/2 BPS geometries. For 1/4 BPS geometries, the boundary is constrained by a non-tirival differential equation.

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

PhD

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

Robert de Mello Koch

robert@neo.phys.wits.ac.za
University of the witwatersrand

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

No

Please indicate whether<br>this abstract may be<br>published online<br>(Yes / No)

Yes

Primary author

Mr Lwazi Nkumane (University of the witwatersrand)

Co-authors

Mr David Gossman (university of the witwatersrand) Ms Laila Tribelhorn (University of the witwatersrand) Prof. Robert de Mello Koch (University of the witwatersrand)

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