Bubbling 1/4 BPS solutions in type IIB and supergravity reductions on S^n x S^n

Details Bubbling 1/4 BPS solutions in type IIB and supergravity reductions on S^n x S^n Bubbling 1/4 BPS solutions in type IIB and supergravity reductions on S^n x S^n

2004-12-05

arxiv.org/abs/hep-th/0412043v2

Nucl.Phys.B739:285-310,2006

Physics

High Energy Physics

High Energy Physics - Theory

30 pages, Latex citations added

Scientific paper

10.1016/j.nuclphysb.2005.12.026

We extend the construction of bubbling 1/2 BPS solutions of Lin, Lunin and Maldacena (hep-th/0409174) in two directions. First we enquire whether bubbling 1/2 BPS solutions can be constructed in minimal 6d supergravity and second we construct solutions that are 1/4 BPS in type IIB. We find that the S^1 x S^1 bosonic reduction of (1,0) 6d supergravity to 4d gravity coupled to 2 scalars and a gauge field is consistent only provided that the gauge field obeys a constraint (F \wedge F=0). This is to be contrasted to the case of the S^3 x S^3 bosonic reduction of type IIB supergravity to 4d gravity, 2 scalars and a gauge field, where consistency is achieved without imposing any such constraints. Therefore, in the case of (1,0) 6d supergravity we are able to construct 1/2 BPS solutions, similar to those derived in type IIB, provided that this additional constraint is satisfied. This ultimately prohibits the construction of a family of 1/2 BPS solutions corresponding to a bubbling AdS_3 x S^3 geometry. Returning to type IIB solutions, by turning on an axion-dilaton field we construct a family of bubbling 1/4 BPS solutions. This corresponds to the inclusion of back-reacted D7 branes to the solutions of Lin, Lunin and Maldacena.

Affiliated with

Also associated with

No associations

Rating

Bubbling 1/4 BPS solutions in type IIB and supergravity reductions on S^n x S^n 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 Bubbling 1/4 BPS solutions in type IIB and supergravity reductions on S^n x S^n, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Bubbling 1/4 BPS solutions in type IIB and supergravity reductions on S^n x S^n will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-40985