A test for emergent dynamics

Abstract

A generalization of a-maximization is proposed that maximizes a subject to inequalities rather than equalities. The implication of this conjecture is that in the absence of emergent symmetries, there is a maximum R-charge for fields appearing in the path integral. This maximum R-charge leads to a novel way of detecting emergent Abelian symmetries and non-Abelian gauge symmetries.

16 pages

References in corpus (9)

• Elliptic hypergeometry of supersymmetric dualities
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• New Results on the "$a$-theorem" in Four Dimensional Supersymmetric Field Theory
• Lagrange Multipliers and Couplings in Supersymmetric Field Theory
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• A Conjectured Bound on Accidental Symmetries
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• Metastable Vacua in Superconformal SQCD-like Theories
• New dynamics and dualities in supersymmetric chiral gauge theories

Cited by in corpus (6)

• Comments on a-maximization from gauged supergravity
• Minimal Distances Between SCFTs
• (Delta a) curiosities in some 4d susy RG flows
• S and T for SCFTs
• New self dualities and duality cascades
• Comments on asymptotic safety in four-dimensional $\mathcal{N}=1$ supersymmetric gauge theories