论文标题
爱因斯坦卡坦理论的综述，描述了固有扭转的超弦
A review of Einstein Cartan Theory to describe superstrings with intrinsic torsion
论文作者
论文摘要
本文回顾了爱因斯坦卡丹理论（ECT），这是时空扭转的著名相对性（GR）的著名扩展。真空方程是逐步得出的。讨论了Vielbein公式，以确定物质存在的场方程。对于任何熟悉一般相对论的学生来说，这篇评论都可以理解。此外，ECT用于描述具有固有扭转的超弦，假设在NS-NS Kalb-Ramond场的弯曲背景下具有$ D_P $ -BRANE。 D-Brane Worldvolume是一个平坦的时空，由Dirac-Born-Infeld（DBI）动作支配。在动态NS-NS $ b $ field的情况下，扭曲张量等于完全反对的扭转。使用此情况，确定了在扭转存在下的$ d_p $ -brane动作的形式。
This paper reviews the Einstein Cartan theory (ECT), the famous extension of general relativity (GR) in presence of spacetime torsion. The vacuum equations are derived step by step. Vielbein formulation is discussed for determining the field equations in presence of matter. This review would be easily comprehensible for any student familiar with general relativity. Further, ECT is used to describe superstrings with intrinsic torsion, assuming a $D_p$-brane in presence of a curved background of the NS-NS Kalb-Ramond field. D-brane worldvolume is a flat spacetime governed by the Dirac-Born-Infeld (DBI) action. In presence of the dynamical NS-NS $B$-field, the contortion tensor equals the totally antisymmetric torsion. Using this, the form of the $D_p$-brane action in presence of torsion is determined.
