标题： 0-膜的广义共形量子力学与二维标量引力 显示英文标题

标题： (Generalized) Conformal Quantum Mechanics of 0-Branes and Two-Dimensional Dilaton Gravity

摘要： 我们研究0-膜的(广义)共形量子力学与二维标量引力之间的关系。 通过在球面上的紧化，从超引力有效作用量得到的二维作用量与已知的二维标量引力模型相关。 (generalized)共形量子力学的SL(2,R)对称性在这些二维模型中被实现。 从非标量0-膜作用量导出的二维标量引力模型与Liouville理论相关，因此是共形的，而从标量0-膜作用量导出的二维模型不具有共形对称性。 显示英文摘要

摘要： We study the relation between the (generalized) conformal quantum mechanics of 0-branes and the two-dimensional dilaton gravity. The two-dimensional actions obtained from the supergravity effective actions for the (dilatonic) 0-branes through the compactification on a sphere are related to known two-dimensional dilaton gravity models. The SL(2,R) symmetry of the (generalized) conformal quantum mechanics is realized within such two-dimensional models. The two-dimensional dilatonic gravity model derived from the non-dilatonic 0-brane action is related to the Liouville theory and therefore is conformal, whereas the two-dimensional model derived from the dilatonic 0-brane action does not have the conformal symmetry.