By following Seiberg's prescriptions on DLCQ of M theory, we give the background geometries of DLCQ supergravity associated with N sector of DLCQ of M theory on Tp with vanishingly small radii. Most of these are the product of anti-de Sitter spacetimes and spheres, which have been found as the spontaneous compactifications of eleven dimensional supergravity long time ago and also are revisited recently by Maldacena by considering the near horizon geometry of various D-branes in appropriate limit. Those geometries are maximally symmetric and have full 32 supersymmetries of eleven dimensional supergravity, which agrees with the number of supersymmetries of DLCQ of M theory. This suggests that DLCQ of M theory is the M/string theory on these nontrivial background.
|Number of pages
|Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
|Published - 1998 Nov 26
Bibliographical noteFunding Information:
I have benefited from comments by Jin-Ho Cho, Youngjai Kiem, Sangmin Lee and Jae-Suk Park. I also would like to thank Juan Maldacena who pointed out an error in previous version. This work was supported in part by Korea Research Foundation.
All Science Journal Classification (ASJC) codes
- Nuclear and High Energy Physics