paper

D3-brane - D-instanton configuration and N=4 super YM theory in constant self-dual background

arXiv:hep-th/9903091 · doi:10.1016/S0550-3213(99)00259-X

Abstract

We consider SO(4) x SO(6) invariant type IIB string solution describing D3-branes superposed with D-instantons homogeneously distributed over D3-brane world-volume. In the near D3-brane horizon limit this background interpolates between AdS_5 x S^5 space in UV and flat space (with non-constant dilaton and RR scalar) in IR. Generalizing the AdS/CFT conjecture we suggest that type IIB string in this geometry is dual to N=4 SYM theory in a state with a constant self-dual gauge field background. The semiclassical string representation for the Wilson factor implies confinement with effective string tension depending on constant D-instanton density parameter. This provides a simple example of type IIB string -- gauge theory duality with clear D-brane and gauge theory interpretation.

22 pages, harvmac; v2: important addenda: a discussion of T-duality in section 2, a new section 6 on D-string action and S-duality

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