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} . These generalize the well-known \mathbb{CP}^{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} 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 and for specific values of the parameters the model is gapless in the IR and is described by an SU(N)_1 WZW model. Some of the techniques we present can also be applied to other cases.
- Publication Date:
- Sponsoring Org.:
- USDOE
- OSTI Identifier:
- 1493364
- Grant/Contract Number:
- SC0009988
- Resource Type:
- Published Article
- Journal Name:
- SciPost Physics
- Additional Journal Information:
- Journal Name: SciPost Physics Journal Volume: 6 Journal Issue: 2
- Publisher:
- Stichting SciPost
- Country of Publication:
- Country unknown/Code not available
- Language:
- English
Citation Formats
Ohmori, Kantaro, Seiberg, Nathan, and Shao, Shu-Heng. Sigma models on flags. Country unknown/Code not available: N. p., 2019.
Web. doi:10.21468/SciPostPhys.6.2.017.
Ohmori, Kantaro, Seiberg, Nathan, & Shao, Shu-Heng. Sigma models on flags. Country unknown/Code not available. https://doi.org/10.21468/SciPostPhys.6.2.017
Ohmori, Kantaro, Seiberg, Nathan, and Shao, Shu-Heng. Mon .
"Sigma models on flags". Country unknown/Code not available. https://doi.org/10.21468/SciPostPhys.6.2.017.
@article{osti_1493364,
title = {Sigma models on flags},
author = {Ohmori, Kantaro and Seiberg, Nathan and Shao, Shu-Heng},
abstractNote = {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.},
doi = {10.21468/SciPostPhys.6.2.017},
journal = {SciPost Physics},
number = 2,
volume = 6,
place = {Country unknown/Code not available},
year = {Mon Feb 04 00:00:00 EST 2019},
month = {Mon Feb 04 00:00:00 EST 2019}
}
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https://doi.org/10.21468/SciPostPhys.6.2.017
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Cited by: 22 works
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