Conformal Transformation and Symplectic Structure of Self-Dual Fields

  • Considered two dimensional self-dual fileds,the symplectic structure on the space of sloutions is given.It is shown that this structure is poincare invariant.The Lanrangian of two dimensional self-dual field is invariant under infinite one component conformal group,then this symplectic structure is also invariant under this conformal group.The conserved currents in geometrical formalism are also obtained.
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  • [1] C.Crnkovic,E.Witten,Covariant description of canonical formalism in geometrical theories,inThree Hundred Years of Gravitation,eds.S.Hawking and W.Isreal.[2] N.J.M.Wookhouse,Geometric Quautization,Clarendon Press,Oxford,UK1992.[3] R.Floreanini,R.Jaekiw,Phys.Rev.Lett.,59(1987)1873.[4] R.Floreanini,R.Jackiw,Phys.Lett.,B175(1986)428.
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Yang Kongqing and Luo Yan. Conformal Transformation and Symplectic Structure of Self-Dual Fields[J]. Chinese Physics C, 1996, 20(9): 789-793.
Yang Kongqing and Luo Yan. Conformal Transformation and Symplectic Structure of Self-Dual Fields[J]. Chinese Physics C, 1996, 20(9): 789-793. shu
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Received: 1900-01-01
Revised: 1900-01-01
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Conformal Transformation and Symplectic Structure of Self-Dual Fields

    Corresponding author: Yang Kongqing,
  • Department of Physics,Lanzhou University,Lanzhou 730000

Abstract: Considered two dimensional self-dual fileds,the symplectic structure on the space of sloutions is given.It is shown that this structure is poincare invariant.The Lanrangian of two dimensional self-dual field is invariant under infinite one component conformal group,then this symplectic structure is also invariant under this conformal group.The conserved currents in geometrical formalism are also obtained.

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