Symplectic actions on coadjoint orbits
Contribuinte(s) |
Universidade Estadual Paulista (UNESP) |
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Data(s) |
27/05/2014
27/05/2014
01/12/1990
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Resumo |
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. |
Formato |
127-132 |
Identificador |
http://dx.doi.org/10.1016/0370-2693(90)90420-B Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, v. 240, n. 1-2, p. 127-132, 1990. 0370-2693 http://hdl.handle.net/11449/64026 10.1016/0370-2693(90)90420-B 2-s2.0-0009462036 |
Idioma(s) |
eng |
Relação |
Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics |
Direitos |
closedAccess |
Tipo |
info:eu-repo/semantics/article |