TY - JOUR

T1 - Towards an N=1SU(3)-invariant supersymmetric membrane flow in eleven-dimensional supergravity

AU - Ahn, Changhyun

AU - Woo, Kyungsung

PY - 2012/5

Y1 - 2012/5

N2 - The M-theory lift of N=1G2-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 CP 2 space, we discover an exact solution of N=1G2-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=1G2-invariant flow interpolating from N=8SO(8)-invariant UV fixed point to N=1G2-invariant IR fixed point. In particular, the 11-dimensional metric and 4-forms at the N=1G2 fixed point for the second solution will provide some hints for the 11-dimensional lift of whole N=1SU(3) RG flow connecting this N=1G2 fixed point to N=2SU(3)×U(1)R fixed point in 4-dimensions.

AB - The M-theory lift of N=1G2-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 CP 2 space, we discover an exact solution of N=1G2-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=1G2-invariant flow interpolating from N=8SO(8)-invariant UV fixed point to N=1G2-invariant IR fixed point. In particular, the 11-dimensional metric and 4-forms at the N=1G2 fixed point for the second solution will provide some hints for the 11-dimensional lift of whole N=1SU(3) RG flow connecting this N=1G2 fixed point to N=2SU(3)×U(1)R fixed point in 4-dimensions.

KW - 11-dimensional solutions

KW - Domain wall solutions

KW - Membrane flow

KW - Supergravity

KW - Supersymmetry

UR - http://www.scopus.com/inward/record.url?scp=84858008099&partnerID=8YFLogxK

U2 - 10.1016/j.geomphys.2011.11.016

DO - 10.1016/j.geomphys.2011.11.016

M3 - Article

AN - SCOPUS:84858008099

SN - 0393-0440

VL - 62

SP - 1207

EP - 1232

JO - Journal of Geometry and Physics

JF - Journal of Geometry and Physics

IS - 5

ER -