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[신간의 별자리x] 우리/미술, 그리고 ‘슬픔의 박물관’

日本物理学会誌及びJournal of the Physical Society of Japanの月刊について

Superstring theoryをめぐって(放談室)

https://cds.cern.ch/record/359207/files/9807278.pdf

Particle physics models of inflation and the cosmological density perturbation

We review pedagogically non-Abelian discrete groups, which play an important role in the particle physics. We show group-theoretical aspects for many concrete groups, such as representations, their tensor products. We explain how to derive, conjugacy classes, characters, representations, and tensor products for these groups (with a finite number). We discussed them explicitly for $S_N$, $A_N$, $T'$, $D_N$, $Q_N$, $\Sigma(2N^2)$, $\Delta(3N^2)$, $T_7$, $\Sigma(3N^3)$ and $\Delta(6N^2)$, which have been applied for model building in the particle physics. We also present typical flavor models by using $A_4$, $S_4$, and $\Delta (54)$ groups. Breaking patterns of discrete groups and decompositions of multiplets are important for applications of the non-Abelian discrete symmetry. We discuss these breaking patterns of the non-Abelian discrete group, which are a powerful tool for model buildings. We also review briefly about anomalies of non-Abelian discrete symmetries by using the path integral approach.

Non-Abelian Discrete Symmetries in Particle Physics

Stringy origin of non-Abelian discrete flavor symmetries

Searching for realistic 4d string models with a Pati-Salam symmetry. Orbifold grand unified theories from heterotic string compactification on a Z(6) orbifold

We study moduli stabilization with $F$-term uplifting. As a source of uplifting $F$-term, we consider spontaneous supersymmetry breaking models, e.g. the Polonyi model and the Intriligator-Seiberg-Shih model. We analyze potential minima by requiring almost vanishing vacuum energy and evaluate the size of modulus $F$-term. We also study soft SUSY-breaking terms. In our scenario, the mirage mediation is dominant in gaugino masses. Scalar masses can be comparable with gaugino masses or much heavier, depending on couplings with spontaneous supersymmetry breaking sector.

Tatsuo Kobayashi

Papers

Non-Abelian Discrete Symmetries in Particle Physics

Non-Abelian Discrete Symmetries in Particle Physics

Stringy origin of non-Abelian discrete flavor symmetries

Searching for realistic 4d string models with a Pati-Salam symmetry. Orbifold grand unified theories from heterotic string compactification on a Z(6) orbifold

Moduli stabilization, F-term uplifting, and soft supersymmetry breaking terms