5 research outputs found
Extremal Correlators in the AdS/CFT Correspondence
The non-renormalization of the 3-point functions of chiral primary operators in N=4 super-Yang-Mills theory is one of
the most striking facts to emerge from the AdS/CFT correspondence. A two-fold
puzzle appears in the extremal case, e.g. k_1 = k_2 + k_3. First, the
supergravity calculation involves analytic continuation in the k_i variables to
define the product of a vanishing bulk coupling and an infinite integral over
AdS. Second, extremal correlators are uniquely sensitive to mixing of the
single-trace operators with protected multi-trace operators in the
same representation of SU(4). We show that the calculation of extremal
correlators from supergravity is subject to the same subtlety of regularization
known for the 2-point functions, and we present a careful method which
justifies the analytic continuation and shows that supergravity fields couple
to single traces without admixture. We also study extremal n-point functions of
chiral primary operators, and argue that Type IIB supergravity requires that
their space-time form is a product of n-1 two-point functions (as in the free
field approximation) multiplied by a non-renormalized coefficient. This
non-renormalization property of extremal n-point functions is a new prediction
of the AdS/CFT correspondence. As a byproduct of this work we obtain the cubic
couplings and of fields in the dilaton and 5-sphere
graviton towers of Type IIB supergravity on .Comment: 26 pages, LateX, no figure
The Duality between IIB String Theory on PP-wave and N=4 SYM: a Status Report
The aim of this report is to give an overview of the duality between type IIB
string theory on the maximally supersymmetric PP-wave and the BMN sector of N=4
Super Yang-Mills theory. The general features of the string and the field
theory descriptions are reviewed, but the main focus of this report is on the
comparison between the two sides of the duality. In particular, it is first
explained how free IIB strings emerge on the gauge theory side and then the
generalizations of this relation to the full interacting theory are considered.
An ``historical'' approach is taken and the various proposals presented in the
literature are described.Comment: 35 pages, 5 figures; Contribution to the proceedings of the
Copenhagen RTN workshop, 15-20 September 2003; v3, few comments added,
misprints correcte
The 3-string vertex and the AdS/CFT duality in the PP-wave limit
We pursue the study of string interactions in the PP-wave background and show
that the proposal of hep-th/0211188 can be extended to a full supersymmetric
vertex. Then we compute some string amplitudes in both the bosonic and
fermionic sector, finding agreement with the field theory results at leading
order in lambda'.Comment: Latex, 25 pages. Comments added and typos correcte