论文标题
用费米子的黑洞力学的第一法
First law of black hole mechanics with fermions
论文作者
论文摘要
在过去的几年中，人们对理解黑洞力学第一定律的固定比较版本引起了浓厚的兴趣。几位作者指出，要讨论Vielbein配方中的第一定律，必须适当地扩展Iyer-Wald指控形式主义。 Jacobson和Mohd [Arxiv：1507.01054]和Prabhu [Arxiv：1511.00388]在合并的时空差异和局部Lorentz转换下对对称性进行了这种概括。在本文中，我们将其形式主义应用于四维的重力，并适当地适应与Majorana领域和Rarita-Schwinger领域相连的四维重力。我们探讨了黑洞力学的第一定律，并在有纤维化领域的情况下构建了洛伦兹 - 戴夫型诺尔的诺瑟的指控，这与简单的超级重力有关。
In the last few years, there has been significant interest in understanding the stationary comparison version of the first law of black hole mechanics in the vielbein formulation of gravity. Several authors have pointed out that to discuss the first law in the vielbein formulation one must extend the Iyer-Wald Noether charge formalism appropriately. Jacobson and Mohd [arXiv:1507.01054] and Prabhu [arXiv:1511.00388] formulated such a generalisation for symmetry under combined spacetime diffeomorphisms and local Lorentz transformations. In this paper, we apply and appropriately adapt their formalism to four-dimensional gravity coupled to a Majorana field and to a Rarita-Schwinger field. We explore the first law of black hole mechanics and the construction of the Lorentz-diffeomorphism Noether charges in the presence of fermionic fields, relevant for simple supergravity.
