Chiral Ring Of Sp(N) And SO(N) Supersymmetric Gauge Theory In Four Dimensions

Abstract

The chiral ring of classical supersymmetric Yang-Mills theory with gauge group $Sp(N)$ or SO(N) is computed, extending previous work (of Cachazo, Douglas, Seiberg, and the author) for SU(N). The result is that, as has been conjectured, the ring is generated by the usual glueball superfield $S\sim \Tr W_αW^α$, with the relation $S^h=0$, $h$ being the dual Coxeter number. Though this proposition has important implications for the behavior of the quantum theory, the statement and (for the most part) the proofs amount to assertions about Lie groups with no direct reference to gauge theory.

arXiv comment14 pages, minor corrections, citation of subsequent work

References in corpus (1)

• On the Cachazo-Douglas-Seiberg-Witten conjecture for simple Lie algebras, II

Cited by in corpus (11)

• An Introduction to Supersymmetric Gauge Theories and Matrix Models
• On the Matter of the Dijkgraaf--Vafa Conjecture
• Notes on supersymmetric Sp(N) theories with an antisymmetric tensor
• Branches of N=1 Vacua and Argyres-Douglas Points
• Branched Matrix Models and the Scales of Supersymmetric Gauge Theories
• Superconformal quantum field theory in curved spacetime
• Supersymmetric large-N reduced model with multiple matter
• The Glueball Superpotential
• On singular effective superpotentials in supersymmetric gauge theories
• The Glueball Superpotential for G_2
• On Cachazo-Douglas-Seiberg-Witten conjecture for simple Lie algebras