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

TL;DR

This paper explores a type IIB string background with D3-branes and D-instantons, proposing a duality with N=4 super Yang-Mills theory in a self-dual gauge field background, revealing confinement phenomena.

Contribution

It introduces a new string background interpolating between AdS_5 x S^5 and flat space, and proposes a duality with N=4 SYM in a self-dual background, illustrating confinement.

Findings

The background interpolates between AdS_5 x S^5 and flat space.

Wilson loop analysis indicates confinement with a tension depending on D-instanton density.

Provides a concrete example of gauge/string duality with D-brane interpretation.

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.