Towards an N=1 SU (3)-invariant supersymmetric membrane flow in eleven-dimensional supergravity

JOURNAL OF GEOMETRY AND PHYSICS

卷:62

Article

Ahn, Changhyun¹  Woo, Kyungsung¹ 

[1] Kyungpook Natl Univ, Dept Phys, Taegu 702701, South Korea

关键词: 11-dimensional solutions;    Supergravity;    Membrane flow;    Supersymmetry;    Domain wall solutions;   

DOI  :  10.1016/j.geomphys.2011.11.016

来源: Elsevier

【 摘 要 】

The M-theory lift of N = 1 G(2)-invariant RG flow via a combinatoric use of the 4-dimensional RG flow and 11-dimensional Einstein-Maxwell equations was found some time ago. The 11-dimensional metric, a warped product of an asymptotically AdS(4) space with a squashed and stretched 7-sphere, for SU(3)-invariance was found before. In this paper, by choosing the 4-dimensional internal space as CP2 space, we discover an exact solution of N = 1 G(2)-invariant flow to the 11-dimensional field equations. By an appropriate coordinate transformation on the three internal coordinates, we also find an 11-dimensional solution of N = 1 G(2)-invariant flow interpolating from N = 8 SO(8)-invariant UV fixed point to N = 1 G(2)-invariant IR fixed point. In particular, the 11-dimensional metric and 4-forms at the N = 1 G(2) fixed point for the second solution will provide some hints for the 11-dimensional lift of whole N = 1 SU(3) RG flow connecting this N = 1 G(2) fixed point to N = 2 SU(3) x U(1)(R) fixed point in 4-dimensions. (C) 2011 Elsevier B.V. All rights reserved.

【 授权许可】

Free