Supersymmetric M3-branes and G2 manifolds

被引:37
作者
Cvetic, M [1 ]
Gibbons, GW
Lü, H
Pope, CN
机构
[1] Univ Penn, Dept Phys & Astron, Philadelphia, PA 19104 USA
[2] Univ Cambridge, Ctr Math Sci, DAMTP, Cambridge CB3 0WA, England
[3] Univ Michigan, Michigan Ctr Theoret Phys, Ann Arbor, MI 48109 USA
[4] Texas A&M Univ, Ctr Theoret Phys, College Stn, TX 77843 USA
[5] Univ Calif Santa Barbara, Inst Theoret Phys, Santa Barbara, CA 93106 USA
基金
美国国家科学基金会;
关键词
D O I
10.1016/S0550-3213(01)00534-X
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
We obtain a generalisation of the original complete Ricci-flat metric of G(2) holonomy on R-4 x S-3 to a family with a nontrivial parameter lambda. For generic lambda the solution is singular, but it is regular when lambda = {- 1, 0, +1}. The case lambda = 0 corresponds to the original G(2) metric, and lambda = {-1, 1} are related to this by an S-3 automorphism of the SU(2)(3) isometry group that acts on the S-3 x S-3 principal orbits. We then construct explicit supersymmetric M3-brane solutions in D = 11 supergravity, where the transverse space is a deformation of this class of G(2) metrics. These are solutions of a system of first-order differential equations coming from a superpotential. We also find M3-branes in the deformed backgrounds of new G(2) holonomy metrics that include one found by A. Brandhuber, J. Gomis, S. Gubser and S. Gukov, and show that they also are supersymmetric. (C) 2002 Published by Elsevier Science B.V.
引用
收藏
页码:3 / 28
页数:26
相关论文
共 20 条
[1]  
ACHARYA BS, HEPTH0011089
[2]  
AGANAGIC M, HEPTH0105225
[3]  
ATIYAH M, HEPTH0011256
[4]  
ATIYAH MF, IN PRESS M THEORY DY
[5]  
BRANDHUBER A, HEPTH0106034
[6]   ON THE CONSTRUCTION OF SOME COMPLETE METRICS WITH EXCEPTIONAL HOLONOMY [J].
BRYANT, RL ;
SALAMON, SM .
DUKE MATHEMATICAL JOURNAL, 1989, 58 (03) :829-850
[7]   COMMENTS ON CONIFOLDS [J].
CANDELAS, P ;
DELAOSSA, XC .
NUCLEAR PHYSICS B, 1990, 342 (01) :246-268
[8]   New complete noncompact Spin(7) manifolds [J].
Cvetic, M ;
Gibbons, GW ;
Lü, H ;
Pope, CN .
NUCLEAR PHYSICS B, 2002, 620 (1-2) :29-54
[9]   Consistent warped-space Kaluza-Klein reductions, half-maximal gauged supergravities and CPn constructions [J].
Cvetic, M ;
Lü, H ;
Pope, CN .
NUCLEAR PHYSICS B, 2001, 597 (1-3) :172-196
[10]   Massless 3-branes in M-theory [J].
Cvetic, M ;
Lü, H ;
Pope, CN .
NUCLEAR PHYSICS B, 2001, 613 (1-2) :167-188