| 講師 |
Dr. Yuki Amari (Tokyo University of Science) |
| タイトル |
BPS-like bound and exact solutions in flag manifold nonlinear sigma-models
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| 日時 |
2019.4.26 (Fri.) 14:30--16:00 |
| 場所 |
Seminar room No. 405, 4th floor, Fac. of Science building No.1 |
| 概要 |
I will talk about 2D instanton solutions in a nonlinear sigma model with the target space $F_2=SU(3)/U(1)^2$.
The model can be viewed as an effective model of various fundamental theories, e. g., $SU(3)$ pure Yang-Mills theory and $SU(3)$ antiferromagnetic Heisenberg model.
The target space $F_2$ is a non-Kähler manifold.
Unlike 2D sigma models whose target space is a Kähler manifold, the model has a non-topological energy bound.
It indicates that we cannot use the usual BPS trick.
I show that, however, we can derive instanton solutions through a coupled first order differential equation.
We also discuss a connection between the solutions and saddle point solutions in the $CP^2$ nonlinear sigma model.
|
| 参考文献 |
-
Y. Amari and N. Sawado, "BPS sphalerons in the $F_2$ nonlinear sigma model", Phys. Rev. D 97, 065012 (2018) [arXiv:1711.00933 [hep-th]].
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