HEP/Astro Seminar, Wednesday 11th March 1998

Misleading Anomaly Matchings

Peter Cho (Harvard)

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Abstract

   We investigate the low energy dynamics of ${\cal N}=1$ supersymmetric
$SO(N)$ gauge theories with a single symmetric tensor matter field.  These 
theories exhibit non-trivial matching of global 't Hooft anomalies at the 
origin of moduli space.  We argue that their quantum moduli spaces possess 
distinct Higgs and confining branches which touch at the origin in an 
interacting nonabelian Coulomb phase.  The matching of anomalies between 
microscopic degrees of freedom and colorless moduli therefore appears to be 
coincidental.  A formal mathematical relation between the $SO(N)$ model and 
an analogous $Sp(2N)$ theory with a single antisymmetric matter field provides 
an explanation for the anomaly matching coincidence.

Wednesday 3:30pm, Smith Lab 4079