String corrections to four point functions in the AdS / CFT correspondence

Brodie, John H.; Gutperle, Michael

doi:10.1016/S0370-2693(98)01462-2

String corrections to four point functions in the AdS / CFT correspondence

John H. Brodie
(
- Princeton U.
)
,
Michael Gutperle
(
- Princeton U.
)

Sep, 1998

15 pages

Published in:

Phys.Lett.B 445 (1999) 296-306

e-Print:

hep-th/9809067 [hep-th]

DOI:

10.1016/S0370-2693(98)01462-2

Report number:

PUPT-1813

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Abstract:

In a string calculation to order

\alpha'^3

, we compute an eight-derivative four-dilaton term in the type IIB effective action. Following the AdS prescription, we compute the order

(g_{YM}^2N_c)^{-3/2}

correction to the four-point correlation function involving the operator

tr F^2

in four dimensional N=4 super Yang-Mills using the string corrected type IIB action extending the work of Freedman et al. (hep-th/9808006). In the limit where two of the Yang-Mills operators approach each other, we find that our correction to the four-point correlation functions develops a logarithmic singularity. We discuss the possible cancellation of this logarithmic singularities by conjecturing new terms in the type IIB effective action.

Note:

16 pages, uses harvmac, no figures. Minor corrections to some equations and typos fixed Report-no: PUPT-1813

field theory: conformal
space-time: anti-de Sitter
n-point function: 4
string model: correction
gauge field theory: Yang-Mills
effective action
supersymmetry
dimension: 10

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