We study compactified pure gauge/gravitational theories with gauge-fixingterms and show that these theories possess quantum mechanical SUSY-likesymmetries between unphysical degrees of freedom. These residual symmetries areglobal symmetries and generated by quantum mechanical N=2 supercharges. Also,we establish new one-parameter family of gauge choices for higher-dimensionalgravity, and calculate as a check of its validity one graviton exchangeamplitude in the lowest tree-level approximation. We confirm that the result isindeed $\xi$-independent and the cancellation of the $\xi$-dependence isensured by the residual symmetries. We also give a simple interpretation of thevDVZ-discontinuity, which arises in the lowest tree-level approximation, fromthe supersymmetric point of view.
展开▼
机译:我们用量规固定项研究了紧实的纯量规/引力理论,并表明这些理论在非物理自由度之间具有量子力学SUSY样的对称性。这些残余对称性是整体对称性,由量子力学N = 2增压产生。此外,我们建立了用于高维重力的新的单参数量具选择系列,并以最低树级近似值计算了一个引力子交换振幅作为其有效性的检验。我们确认,结果确实是独立于$ \ xi $的,并且通过剩余对称性确保了$ \ xi $依赖性的消除。从超对称的角度来看,我们还给出了vDVZ不连续性的简单解释,该不连续性出现在最低的树级近似中。
展开▼