# SAIP2014

7-11 July 2014
Africa/Johannesburg timezone
<a href="http://events.saip.org.za/internalPage.py?pageId=16&confId=34"><font color=#0000ff>SAIP2014 Proceedings published on 17 April 2015</font></a>

## Finite N Quiver Gauge Theory

8 Jul 2014, 14:00
20m
D Les 104

### D Les 104

Oral Presentation Track G - Theoretical and Computational Physics

### Speaker

Mr Rocky Kreyfelt (University of the Witwatersrand)

No

No

### 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>

At finite N the number of restricted Schur polynomials is greater than or equal to the number of generalized restricted Schur polynomials. In this note we study this discrepancy and explain its origin. We conclude that, for quiver gauge theories, in general, the generalized restricted Schur polynomials correctly account for the complete set of finite N constraints and they provide a basis, while the restricted Schur polynomials only account for a subset of the finite N constraints and are thus overcomplete. We identify several situations in which the restricted Schur polynomials do in fact account for the complete set of finite N constraints. In these situations the restricted Schur polynomials and the generalized restricted Schur polynomials both provide good bases for the quiver gauge theory. Finally, we demonstrate situations in which the generalized restricted Schur polynomials reduce to the restricted Schur polynomials.

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

Robert de Mello Koch
robert.demellokoch@gmail.com
University of the Witwatersrand

MSc

### Primary author

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

### Co-authors

Mr Nkululeko Nokwara (University of the Witwatersrand) Mr Rocky Kreyfelt (University of the Witwatersrand)

### Presentation Materials

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