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Sigma models on flags

Authors: Kantaro Ohmori; Nathan Seiberg; Shu-Heng Shao;

Sigma models on flags

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} ℂ ℙ N − 1 model. The general flag model exhibits several new elements that are not present in the special case of the \mathbb{CP}^{N-1} ℂ ℙ N − 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_I N I and for specific values of the parameters the model is gapless in the IR and is described by an SU(N)_1 S U ( N ) 1 WZW model. Some of the techniques we present can also be applied to other cases.

Keywords

High Energy Physics - Theory, Condensed Matter - Strongly Correlated Electrons, High Energy Physics - Theory (hep-th), Strongly Correlated Electrons (cond-mat.str-el), Physics, QC1-999, FOS: Physical sciences

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    popularity
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    influence
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
29
Top 10%
Top 10%
Top 10%
Green
Published in a Diamond OA journal