Relating the N=4 SYM low-energy effective action with D3 brane on AdS_5 x S^5 background
Aula Seminari (LNF)
Via Enrico Fermi, 40
00044 Frascati (Roma)
According to the AdS/CFT correspondence, the action for a D3 brane moving in curved AdS_5 x S^5 background
of IIB theory should coincide with the quantum low-energy effective action in the N=4 SYM theory. This correspondence
can be checked explicitly for several leading terms in these actions, in particular, for F^4/X^4, F^6/X^8 and for the Wess-Zumino
terms. Here F is the Maxwell field strength and X is the R-invariant combination of six scalar fields in the N=4 SYM theory.
We discuss some superspace methods to study this matching.