Supersymmetric AdS3 X S2 M-theory geometries with fluxes

Details Supersymmetric AdS3 X S2 M-theory geometries with fluxes Supersymmetric AdS3 X S2 M-theory geometries with fluxes

2010-05-25

arxiv.org/abs/1005.4527v3

JHEP 1008:114,2010

Physics

High Energy Physics

High Energy Physics - Theory

32 pages, minor corrections

Scientific paper

10.1007/JHEP08(2010)114

Motivated by a recent observation that the LLM geometries admit 1/4-BPS M5-brane probes with worldvolume AdS3 X \Sigma_2 X S1 preserving the R-symmetry, we initiate a classification of the most general AdS3 X S2 geometries in M-theory. We retain all field strengths consistent with symmetry and derive the torsion conditions for M_6 in terms of two linearly independent spinors. Surprisingly, we identify three Killing directions for M_6, but only two of these generate isometries of the overall ansatz. We show that the existence of this third direction depends on the norm of the spinors. Then, specialising to the case where the spinors define an SU(2)-structure and the class of solutions is 1/4-BPS, we note that supersymmetry dictates that all magnetic fluxes necessarily thread the S2. Finally, by assuming that the two remaining Killing directions are parallel and aligned with one of the two vectors defining the SU(2)-structure, we derive a general relationship for the two spinors before extracting a known class of solutions from the torsion conditions.

Affiliated with

Also associated with

No associations

Rating

Supersymmetric AdS3 X S2 M-theory geometries with fluxes does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Supersymmetric AdS3 X S2 M-theory geometries with fluxes, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Supersymmetric AdS3 X S2 M-theory geometries with fluxes will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-298016