标题： 三维和四维非对易超引力 显示英文标题

标题： Noncommutative supergravity in D=3 and D=4

摘要： 我们提出了一种非对易的D=3，N=1超引力，它在微分同胚、局部U(1,1)非对易\star -规范变换和局部\star -超对称下保持不变。 其对易极限是通常的D=3纯超引力，没有额外场。 也得到了一种D=4，N=1超引力的非对易变形，在对易极限下还原为通常的简单超引力。 其作用量在微分同胚和局部GL(2,C)\star -规范对称性下保持不变。 非对易性会破坏对易作用量的超对称性。 在具有左手gravitino和复四维标架的非对易D=4，N=1超引力中，可以实现局部\star -超对称不变性。 显示英文摘要

摘要： We present a noncommutative D=3, N=1 supergravity, invariant under diffeomorphisms, local U(1,1) noncommutative \star-gauge transformations and local \star-supersymmetry. Its commutative limit is the usual D=3 pure supergravity, without extra fields. A noncommutative deformation of D=4, N=1 supergravity is also obtained, reducing to the usual simple supergravity in the commutative limit. Its action is invariant under diffeomorphisms and local GL(2,C) \star-gauge symmetry. The supersymmetry of the commutative action is broken by noncommutativity. Local \star-supersymmetry invariance can be implemented in a noncommutative D=4, N=1 supergravity with chiral gravitino and complex vierbein.