AdS membranes wrapped on surfaces of arbitrary genus

被引:49
作者
Emparan, R [1 ]
机构
[1] Univ Durham, Dept Math Sci, Durham DH1 3LE, England
基金
英国工程与自然科学研究理事会;
关键词
D O I
10.1016/S0370-2693(98)00625-X
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We present and analyze solutions of D = 11 supergravity describing the "near-horizon'' (i.e., asymptotically AdS(4) x S-7) geometry of M2-branes wrapped on surfaces of arbitrary genus. We study the forces experienced by test M2-branes in such backgrounds, and find evidence that extremal branes on surfaces of genera higher than the torus are unstable. Using the holographic connection between AdS spaces and superconformal field theories in the large N limit, we discuss the phases of the associated 2+1 dimensional theories. Finally, we also study the extension of these solutions to other branes, in particular to D2-branes. (C) 1998 Elsevier Science B.V. All rights reserved.
引用
收藏
页码:74 / 82
页数:9
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