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《Physics letters. A》2014,378(32-33):2382-2388
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《Nuclear Physics B》2006,746(3):155-201
The set of dynamic symmetries of the scalar free Schrödinger equation in d space dimensions gives a realization of the Schrödinger algebra that may be extended into a representation of the conformal algebra in dimensions, which yields the set of dynamic symmetries of the same equation where the mass is not viewed as a constant, but as an additional coordinate. An analogous construction also holds for the spin- Lévy-Leblond equation. An supersymmetric extension of these equations leads, respectively, to a ‘super-Schrödinger’ model and to the -supersymmetric model. Their dynamic supersymmetries form the Lie superalgebras and , respectively. The Schrödinger algebra and its supersymmetric counterparts are found to be the largest finite-dimensional Lie subalgebras of a family of infinite-dimensional Lie superalgebras that are systematically constructed in a Poisson algebra setting, including the Schrödinger–Neveu–Schwarz algebra with N supercharges. Covariant two-point functions of quasiprimary superfields are calculated for several subalgebras of . If one includes both supercharges and time-inversions, then the sum of the scaling dimensions is restricted to a finite set of possible values. 相似文献
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