Super Yang–Mills operators from the D3-brane action in a curved background

A consistent truncation of IIB on S5 has been obtained in the sector of the metric and the 4-form potential. The ansatz contains 20 scalars and all 15 gauge fields of N=8 gauged supergravity in five dimensions. With this fully non-linear ansatz, the calculations for n-point correlators of super Yang–Mills (SYM) theory via AdS/CFT are simpler than those in the literature that use the linear ansatz followed by non-linear field redefinitions. We work out the SYM operators that couple to the scalars by expanding the Dirac–Born–Infeld (DBI) action plus Wess–Zumino (WZ) terms around an AdS5×S5 background with the metric fluctuations. The resulting operators agree with those based on a superconformal symmetry argument. We discuss the significance of our results.