Nonlinear realization of supersymmetry based on the frame matrix representation of the Grassmann manifold - geometrical meaning of the zeta-field in a supersymmetric extension of local Lorentz symmetry
Journal Article
·
· International Journal of Modern Physics A; (USA)
- Kyoto Univ. (Japan). Research Inst. for Mathematical Sciences
Using the frame matrix representation of the Grassmann manifold, the authors derive a nonlinear realization of the general linear group. They show that its super-extension reproduces the zeta-field which appears in the recent work on a supersymmetric extension of local Lorentz symmetry by Abe and Nakanishi. This clarifies the geometrical meaning of the field zeta-field and they discuss the properties on the basis of this interpretation. The similarity of this zeta-field and the vierbein field is pointed out.
- OSTI ID:
- 5580655
- Journal Information:
- International Journal of Modern Physics A; (USA), Journal Name: International Journal of Modern Physics A; (USA) Vol. 4:11; ISSN IMPAE; ISSN 0217-751X
- Country of Publication:
- United States
- Language:
- English
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