Mathematical Institute, University of Oxford, Woodstock Road, Oxford OX2 6GG, United Kingdom.
Blackett Laboratory, Imperial College, Prince Consort Road, London SW7 2AZ, United Kingdom.
Phys Rev Lett. 2023 Mar 3;130(9):091603. doi: 10.1103/PhysRevLett.130.091603.
We introduce an entropy function for supersymmetric accelerating black holes in four-dimensional anti-de Sitter space that uplift on general Sasaki-Einstein manifolds X_{7} to solutions of M theory. This allows one to compute the black hole entropy without knowing the explicit solutions. A dual holographic microstate counting would follow from computing certain supersymmetric partition functions of Chern-Simons-matter theories compactified on a spindle. We make a general prediction for a class of such partition functions in terms of "blocks," with each block being constructed from the partition function on a three-sphere.
我们引入了一个在四维反德西特空间中具有超对称加速黑洞的熵函数，它可以将一般的 Sasaki-Einstein 流形 X_7 提升到 M 理论的解。这使得人们可以在不知道显式解的情况下计算黑洞熵。通过计算在纺锤上紧致化的 Chern-Simons-物质理论的某些超对称配分函数，可以得到对偶全息微态计数。我们根据“块”对这类配分函数进行了一般性预测，其中每个块都是由在三维球面上的配分函数构建的。
