Energy and Ecology
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Algebra
Researchers from University of Coimbra Publish Findings in Algebra
June 24th, 2011
According to a study from Coimbra, Portugal, "The extended supersymmetric (SUSY) sigma-model has been proposed on the bases of SO(2N + 1) Lie algebra spanned by fermion annihilation-creation operators and pair operators. The canonical transformation, extension of an SO(2N) Bogoliubov transformation to an SO(2N + 1) group, is introduced." "Embedding the SO(2N + 1) group into an SO(2N + 2) group and using SO(2N + 2)/U(N + 1) coset variables, we have investigated the SUSY sigma-model on the Kahler manifold, the coset space SO(2N + 2)/U(N + 1). We have constructed the Killing potential, extension of the potential in the SO(2N)/U(N) coset space to that in the SO(2N + 2)/U(N +...
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Source: Energy and Ecology (2011-06-24)
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