Affiliation:
1. Institute for Advanced Study, Princeton University
Abstract
We study (1+1)-dimensional non-linear sigma models whose target space
is the flag manifold
U(N)\over U(N_1)\times U(N_2)\cdots U(N_m),
with a specific focus on the special case U(N)/U(1)^{N}U(N)/U(1)N.
These generalize the well-known \mathbb{CP}^{N-1}ℂℙN−1
model. The general flag model exhibits several new elements that are not
present in the special case of the \mathbb{CP}^{N-1}ℂℙN−1
model. It depends on more parameters, its global symmetry can be larger,
and its ’t Hooft anomalies can be more subtle. Our discussion based on
symmetry and anomaly suggests that for certain choices of the integers
N_INI
and for specific values of the parameters the model is gapless in the IR
and is described by an SU(N)_1SU(N)1
WZW model. Some of the techniques we present can also be applied to
other cases.
Funder
National Science Foundation
United States Department of Energy
Cited by
27 articles.
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