7-11 July 2014
Africa/Johannesburg timezone
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Finite N Quiver Gauge Theory

Presented by Mr. Rocky KREYFELT on 8 Jul 2014 from 14:00 to 14:20
Type: Oral Presentation
Session: Theoretical
Track: Track G - Theoretical and Computational Physics

Abstract

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.

Award

No

Level

MSc

Supervisor

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

Paper

No

Place

Room: D Les 104


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