Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1999-09-24
Nucl.Phys. B573 (2000) 257-274
Physics
High Energy Physics
High Energy Physics - Theory
21 pages, LaTeX, version to appear in Nucl. Phys. B, an error in Eq. (49) corrected
Scientific paper
10.1016/S0550-3213(99)00735-X
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.
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