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Article overview
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Orthogonal Schurs for Classical Gauge Groups | Pablo Diaz
; | Date: |
4 Sep 2013 | Abstract: | Finite N physics of half-BPS operators for gauge groups SO(N) and Sp(N) has
recently been studied[1, 2]. Among other things they showed that, alike U(N),
Schur operators (but in the square of their eigenvalues) diagonalize the free
field two-point function of half-BPS operators for SO(N) and Sp(N) gauge
groups. This result was unexpected since Wick contractions behave differently.
In this paper we solve the puzzle by treating all gauge groups in a unified
framework and showing how orthogonality of Schur operators emerges naturally
from the embedding structure of classical Lie algebras g(N) -> g(M). We go
further and we state that orthogonality of Schurs is a gauge group-independent
property for classical gauge groups. | Source: | arXiv, 1309.1180 | Services: | Forum | Review | PDF | Favorites |
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