N=1 Superconformal Tensor Calculus : Multiplets with External Lorentz Indices and Derivative Operations : Particles and Fields
N=1 Superconformal Tensor Calculus : Multiplets with External Lorentz Indices and Derivative Operations : Particles and Fields
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N=1 超共形张量微积分：具有外部洛伦兹指数和导数运算的多重态：粒子和场
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发表时间：
1985
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影响因子：
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通讯作者：
S. Uehara
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作者：
T. Kugo;S. Uehara
在N = 1共形超引力中，我们完全确定了最一般的多重态在任意外洛伦兹指数下的变换律，并定义了旋量导数运算.不受约束的（一般类型）多重峰存在于任意外部指数，而手征和线性多重峰只存在于纯粹的undotted旋量指数。这是因为超共形旋量导数仅在满足某些限制条件的多重态上是协变的。我们还定义了一类新的旋量导数算子，每一个依赖于选择一个多重u发挥协变的作用，但适用于任何多重协变。通过这些旋量衍生物定义的新的手征和线性多重峰存在任意外部洛伦兹指数时，ii是（真实的或复杂的）线性多重峰。这些旋量导数和约束多重态的庞加莱超引力的超空间配方的连接被澄清。
In N = 1 conformal supergravity, we completely determine the transformation laws of the most general multiplets with arbitrary external Lorentz indices, and· then define the spinor derivative operations. Unconstrained (general type) multiplets exist for arbitrary external indices while chiral and linear multiplets exist only for purely undotted spinor indices. This comes from the particular fact that the superconformal spinor derivative is covariant only on multiplets satisfying some restrictive conditions. We define also a new class of spinor derivative operators each of which depends on the choice of a multiplet u playing the role of covariantization but is applicable covariantly to any multiplets. New chiral and linear multiplets defined through these spinor derivatives exist for arbitrary external Lorentz indices when ii is a (real or complex) linear multiplet. The connections of these spinor derivatives and constrained multiplets to those in superspace formulations of Poincare supergravities are clarified.