Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1999-07-14
Nucl.Phys. B562 (1999) 181-190
Physics
High Energy Physics
High Energy Physics - Theory
12 pages, LaTex. Please send any comment to cschu@sissa.it; v2: one reference added (to appear in Nucl. Phys. B)
Scientific paper
10.1016/S0550-3213(99)00553-2
According to the AdS/CFT correspondence,the d=4, N=4 SU(N) SYM is dual to the Type IIB string theory compactified on AdS_5xS^5. A mechanism was proposed previously that the chiral anomaly of the gauge theory is accounted for to the leading order in N by the Chern-Simons action in the AdS_5 SUGRA. In this paper, we consider the SUGRA\string action at one loop and determine the quantum corrections to the Chern-Simons action. While gluon loops do not modify the coefficient of the Chern-Simons action, spinor loops shift the coefficient by an integer. We find that for finite N, the quantum corrections from the complete tower of Kaluza-Klein states reproduce exactly the desired shift N^2 ---> N^2- 1 of the Chern-Simons coefficient, suggesting that this coefficient does not receive corrections from the other states of the string theory. We discuss why this is plausible.
Bilal Adel
Chu Chong-Sun
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