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Published June 5, 1997 | Submitted
Journal Article Open

Issues in M(atrix) theory compactification

Abstract

We discuss issues concerning M(atrix) theory compactifications on curved spaces. We argue from the form of the graviton propagator on curved space that excited string states do not decouple from the annulus D0-brane υ^4 amplitude, unlike the flat space case. This argurment shows that a large class of quantum mechanical systems with a finite number of degrees of freedom cannot reproduce supergravity answers. We discuss the specific example of an ALE space and suggest sources of possible higher derivative terms that might help reproduce supergravity results.

Additional Information

© 1997 Elsevier. Received 11 March 1997. We would like to thank Tom Banks, Greg Moore, Hiraku Nakajima, Nathan Seiberg, and Lenny Susskind for valuable discussions and correspondence. H.O. thanks the High Energy Theory Group of Rutgers University, where a part of this work was done, for hospitality. H.O. is supported in part by NSF grant PHY-951497 and DOE grant DE-AC03-76SF00098. The work of M.R.D. and S.H.S. was supported in part by grant No. DE-FG02-96ER40959.

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