Duality and Enhanced Gauge Symmetry in 2+1 Dimensions
Taichi Itoh, Phillial Oh, Cheol Ryou
TL;DR
This paper explores an enlarged CP(N) model in 2+1 dimensions, revealing gauge symmetry enhancement, a finite off-diagonal gauge boson mass, and an interacting ultraviolet fixed point, with explicit large-N effective gauge action calculations.
Contribution
It introduces a hybrid CP(N) model in 2+1 dimensions with dual symmetry, demonstrating gauge symmetry enhancement and an ultraviolet fixed point, extending previous 1+1 dimensional results.
Findings
Gauge symmetry enhancement in 2+1 dimensions
Existence of an interacting ultraviolet fixed point
Explicit large-N effective gauge action computed
Abstract
We investigate the enlarged CP(N) model in 2+1 dimensions. This is a hybrid of two CP(N) models coupled with each other in a dual symmetric fashion, and it exhibits the gauge symmetry enhancement and radiative induction of the finite off-diagonal gauge boson mass as in the 1+1 dimensional case. We solve the mass gap equations and study the fixed point structure in the large-N limit. We find an interacting ultraviolet fixed point which is in contrast with the 1+1 dimensional case. We also compute the large-N effective gauge action explicitly.
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