Fractional BPS Multi-Trace Fields of N =4 SYM4 from AdS/CFT
نویسندگان
چکیده
We prove that k-trace operators of SO(6)R irreps with Young tableau partitions {r1, r2, r3}, constructed out of k chiral primaries in the twenty dimensional SO(6)R irrep, lead to quasi primary fields with protected conformal dimensions under certain conditions. If r1, r2, r3 are all even, r1 + r2 + r3 = 2k and the field is a spacetime scalar, then the conformal dimension 2k is unrenormalized. If r1 + r2 + r3 = 2k, two of the ri are odd and distinct, and the field is a spacetime vector, then the dimension 2k+1 is again not renormalized. If r1+ r2 + r3 = 2k, two of the ri are odd and equal, our argument fails.
منابع مشابه
BPS Geometries and AdS
Recently, 1 2-BPS AdS bubble solutions have been obtained by Lin, Lunin and Mal-dacena, which correspond to Fermi droplets in phase space in the dual CFT picture. They can be thought of as generalisations of 1 2-BPS AdS black hole solutions in five or seven dimensional gauged supergravity. In this paper, we extend these solutions by invoking additional gauge fields and scalar fields in the supe...
متن کاملBoundary multi-trace deformations and OPEs in AdS/CFT correspondence
We argue that multi-trace deformations of the boundary CFT in AdS/CFT correspondence can arise through the OPE of single-trace operators. We work out the example of a scalar field in AdS5 with cubic self interaction. By an appropriate reparametrization of the boundary data we are able to deform the boundary CFT by a marginal operator that couples to the conformal anomaly. Our method can be used...
متن کاملOperator Product Expansion of the Lowest Weight CPOs in N=4 SYM4 at Strong Coupling
We present a detailed analysis of the 4-point functions of the lowest weight chiral primary operators O ∼ trφφ in N = 4 SYM4 at strong coupling and show that their structure is compatible with the predictions of AdS/CFT correspondence. In particular, all powersingular terms in the 4-point functions exactly coincide with the contributions coming from the conformal blocks of the CPOs, the R-symme...
متن کاملMulti-Trace Operators, Boundary Conditions, And AdS/CFT Correspondence
We argue that multi-trace interactions in quantum field theory on the boundary of AdS space can be incorporated in the AdS/CFT correspondence by using a more general boundary condition for the bulk fields than has been considered hitherto. We illustrate the procedure for a renormalizable four-dimensional field theory with a (TrΦ) interaction. In this example, we show how the AdS fields with the...
متن کاملOn Subleading Contributions to the AdS/CFT Trace Anomaly
In the context of the AdS/CFT correspondence, we perform a direct computation in AdS5 supergravity of the trace anomaly of a d = 4, N = 2 SCFT. We find agreement with the field theory result up to next to leading order in the 1/N expansion. In particular, the order N gravitational contribution to the anomaly is obtained from a Riemann tensor squared term in the 7-brane effective action deduced ...
متن کامل