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Please use this identifier to cite or link to this item: http://acervodigital.unesp.br/handle/11449/64026
Title: 
Symplectic actions on coadjoint orbits
Author(s): 
Institution: 
  • Box 4348
  • Inst. of Nucl. Res. and Nucl. Energy
  • Universidade Estadual Paulista (UNESP)
ISSN: 
0370-2693
Abstract: 
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.
Issue Date: 
1-Dec-1990
Citation: 
Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, v. 240, n. 1-2, p. 127-132, 1990.
Time Duration: 
127-132
Source: 
http://dx.doi.org/10.1016/0370-2693(90)90420-B
URI: 
Access Rights: 
Acesso restrito
Type: 
outro
Source:
http://repositorio.unesp.br/handle/11449/64026
Appears in Collections:Artigos, TCCs, Teses e Dissertações da Unesp

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