H. Liu et Aa. Tseytlin, D3-brane-D-instanton configuration and N=4 super YM theory in constant self-dual background, NUCL PHYS B, 553(1-2), 1999, pp. 231-249
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 interpola
tes between AdS(5) x S-5 space in UV and flat space (with non-constant dila
ton and RR scalar) in IR. Generalizing the AdS/CFT conjecture we suggest th
at 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 str
ing tension depending on constant D-instanton density parameter. This provi
des a simple example of type IIB string - gauge theory duality with clear D
-brane and gauge theory interpretation. (C) 1999 Elsevier Science B.V. All
rights reserved.