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A test for emergent dynamics · Around

2012

A test for emergent dynamics

Hook, Anson

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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.

Built on

Kuhn, H. W.; Tucker, A. W. (1951). ”Nonlinear programming”. Proceedings of 2nd Berkeley Symposium. Berkeley: University of California Press. pp. 481–492. MR47303 W. Karush (1939). Minima of Functions of Several Variables with Inequalities as Side Constraints. M.Sc. Dissertation. Dept. of Mathematics, Univ. of Chicago, Chicago, Illinois
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J. H. Brodie, P. L. Cho and K. A. Intriligator, Phys. Lett. B 429
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