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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク BPS state ： ウィキペディア英語版 Bogomol'nyi–Prasad–Sommerfield state In theoretical physics, BPS states are massive representations of an extended supersymmetry algebra with mass equal to the supersymmetry central charge ''Z''. Quantum mechanically, if the supersymmetry is not broken, the mass is exactly equal to the modulus of ''Z''. Their importance arises as the multiplets are shorter than for generic massive representations, the states are stable and the mass formula is exact. ==d=4 N=2== The generators for the odd part of the superalgebra have relations: :$$ \begin \ B} \} & = 2 \sigma_ & = 2 \epsilon_ \epsilon^ \bar\\ \ A} , \bar_ \} & = -2 \epsilon_} \epsilon_ Z\\ \end where: $\backslash alpha\; \backslash dot$ are the Lorentz group indices, A and B are R symmetry indices. Take linear combinations of the above generators as follows: :$$ \begin R_\alpha^A & = \xi^ Q_\alpha^A + \xi \sigma_^\\ T_\alpha^A & = \xi^ Q_\alpha^A - \xi \sigma_^\\ \end Consider a state ψ which has 4 momentum $(M,0,0,0)$. Applying the following operator to this state gives: :$$ \begin (R_1^1 + (R_1^1)^\dagger )^2 \psi & = 4 ( M + Re(Z\xi^) ) \psi\\ \end But because this is the square of a Hermitian operator, the right hand side coefficient must be positive for all $\backslash xi$. In particular the strongest result from this is :$$ \begin M \geq |Z|\\ \end 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Bogomol'nyi–Prasad–Sommerfield state」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.