Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1999-03-02
Phys.Rev. D60 (1999) 106008
Physics
High Energy Physics
High Energy Physics - Theory
23 pages, uses harvmac, References added, typos corrected and minor improvements to discussion of N dependence, to appear in P
Scientific paper
10.1103/PhysRevD.60.106008
We construct solutions of type IIB supergravity dual to N=2 super Yang-Mills theories. By considering a probe moving in a background with constant coupling and an AdS_{5} component in its geometry, we are able to reproduce the exact low energy effective action for the theory with gauge group SU(2) and N_{f}=4 massless flavors. After turning on a mass for the flavors we find corrections to the AdS_{5} geometry. In addition, the coupling shows a power law dependence on the energy scale of the theory. The origin of the power law behaviour of the coupling is traced back to instanton corrections. Instanton corrections to the four derivative terms in the low energy effective action are correctly obtained from a probe analysis. By considering a Wilson loop in this geometry we are also able to compute the instanton effects on the quark-antiquark potential. Finally we consider a solution corresponding to an asymptotically free field theory. Again, the leading form of the four derivative terms in the low energy effective action are in complete agreement with field theory expectations.
Mello Koch Robert de
Paulin-Campbell Alastair
Rodrigues Joao P.
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