Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2007-09-18
JHEP 0802:050,2008
Physics
High Energy Physics
High Energy Physics - Theory
31 pages. Added references, enlarged discussions
Scientific paper
10.1088/1126-6708/2008/02/050
We study a class of solutions of IIB Supergravity which are asymptotically AdS_5 x Y^{p,q}. They have an R x SO(4) x SU(2) x U(1) isometry and preserve half of the 8 supercharges of the background geometry. They are described by a set of second order differential equations that we have found and analysed in a previous paper, where we studied 1/8 BPS states in the maximally supersymmetric AdS_5 x S^5 background. These geometries correspond to certain chiral primary operators of the N=1 superconformal quiver theories, dual to IIB theory on AdS_5 x Y^{p,q}. We also show how to recover the AdS_5 x Y^{p,q} backgrounds by suitably doubling the number of preserved supersymmetries. We then solve the differential equations perturbatively in a large AdS_5 radius expansion, imposing asymptotic AdS_5 x Y^{p,q} boundary conditions. We compute the global baryonic and mesonic charges, including the R-charge. As for the computation of the mass, i.e. the conformal dimension D of the dual field theory operators, which is notoriously subtle in asymptotically AdS backgrounds, we adopt the general formalism due to Wald and collaborators, which gives a finite result, and verify the relation D=3 R / 2, demanded by the N=1 superconformal algebra.
Gava Edi
Milanesi Giuseppe
Narain Kumar S.
O'Loughlin Martin
No associations
LandOfFree
Half BPS states in AdS_5 x Y^{p,q} 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 Half BPS states in AdS_5 x Y^{p,q}, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Half BPS states in AdS_5 x Y^{p,q} will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-457290