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http://acervodigital.unesp.br/handle/11449/64026
- Title:
- Symplectic actions on coadjoint orbits
- Box 4348
- Inst. of Nucl. Res. and Nucl. Energy
- Universidade Estadual Paulista (UNESP)
- 0370-2693
- We present a compact expression for the field theoretical actions based on the symplectic analysis of coadjoint orbits of Lie groups. The final formula for the action density α c becomes a bilinear form 〈(S, 1/λ), (y, m y)〉, where S is a 1-cocycle of the Lie group (a schwarzian type of derivative in conformai case), λ is a coefficient of the central element of the algebra and script Y sign ≡ (y, m y) is the generalized Maurer-Cartan form. In this way the action is fully determined in terms of the basic group theoretical objects. This result is illustrated on a number of examples, including the superconformal model with N = 2. In this case the method is applied to derive the N = 2 superspace generalization of the D=2 Polyakov (super-) gravity action in a manifest (2, 0) supersymmetric form. As a byproduct we also find a natural (2, 0) superspace generalization of the Beltrami equations for the (2, 0) supersymmetric world-sheet metric describing the transition from the conformal to the chiral gauge.
- 1-Dec-1990
- Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, v. 240, n. 1-2, p. 127-132, 1990.
- 127-132
- http://dx.doi.org/10.1016/0370-2693(90)90420-B
- Acesso restrito
- outro
- http://repositorio.unesp.br/handle/11449/64026
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