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SSB of SO(9) symmetry in BFSS matrix model. Shingo Takeuchi (KEK). collaboration with. J. Nishimura (KEK). T. Aoyama (KEK). T. Okubo ( Meijo Univ.). 基研研究会 2008. The SSB for SO(10) to SO(4) in IIB matrix model. ( It is due to the fermion effect. ).
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SSB of SO(9) symmetry in BFSS matrix model Shingo Takeuchi (KEK) collaboration with J. Nishimura (KEK) T. Aoyama (KEK) T. Okubo (Meijo Univ.) 基研研究会 2008
The SSB for SO(10) to SO(4) in IIB matrix model ( It is due to the fermion effect. ) We consider BFSS matrix model at finite temperature At high temp region, There is SO(9) symmetry. At high temp. region, fermion decouples. ( no fermion effect ) At low temp region, There is SSB for SO(9) due to fermion effect. breaks to SO(d) SO(9) We expect that the collapse happens by one dimension for each time as SO(d) ← ・・・ ← SO(8) ← SO(9) Thanks to introduction of temperature, we can controll the SSB. In this study, we examine SSB for SO(9) → SO(8) in BFSS matrix model at finite temperature.