arXivDaily arXiv每日学术速递 周一至周五更新
arXiv周末暂无论文更新,休息一下吧,周末愉快~~
arXiv 0912.3472hep-thgr-qc
收藏

杂种优势黑地平线

Heterotic Black Horizons

J. Gutowski, G. Papadopoulos

摘要:

我们证明了杂化黑洞的超对称近视界几何要么是一个7维流形上的AdS_3纤维化,其中该流形具有与反对称挠率连通相容的G_2结构,要么是一个乘积R ^{1,1}* S^8,其中S^8是一个完整的Spin(7)流形,分别保持2和1个超对称性.此外,我们还证明了在进一步限制基空间几何的条件下,AdS_3类杂交视界可以保持4、6和8超对称性.类似地,具有扩展超对称性的R ^{1,1}* S^8视界是R ^{1,1}与特殊完整流形的乘积。我们还发现具有8个超对称的杂化视界局部等距于AdS_3 * S^3 * T^4,AdS_3 * S^3 * K_3或R ^{1,1}* T^4 * K_3,其中AdS_3和S^3的半径相等,且子数为常数。

英文摘要:

We show that the supersymmetric near horizon geometry of heterotic black holes is either an AdS_3 fibration over a 7-dimensional manifold which admits a G_2 structure compatible with a connection with skew-symmetric torsion, or it is a product R^{1,1} * S^8, where S^8 is a holonomy Spin(7) manifold, preserving 2 and 1 supersymmetries respectively. Moreover, we demonstrate that the AdS_3 class of heterotic horizons can preserve 4, 6 and 8 supersymmetries provided that the geometry of the base space is further restricted. Similarly R^{1,1} * S^8 horizons with extended supersymmetry are products of R^{1,1} with special holonomy manifolds. We have also found that the heterotic horizons with 8 supersymmetries are locally isometric to AdS_3 * S^3 * T^4, AdS_3 * S^3 * K_3 or R^{1,1} * T^4 * K_3, where the radii of AdS_3 and S^3 are equal and the dilaton is constant.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑