Decoupling limit and throat geometry of non-susy D3 brane

TL;DR

This paper explores the decoupling limit and throat geometry of non-supersymmetric D3 branes, showing their relation to known holographic duals and extending the AdS/CFT correspondence to non-supersymmetric cases.

Contribution

It demonstrates that the decoupling limit of non-susy D3 branes yields geometries equivalent to known solutions, confirming their gauge theory duals and extending holographic correspondence.

Findings

Throat geometry reduces to Constable-Myers solution in the decoupling limit.

Special parameter values lead to the five-dimensional solution of Csaki and Reece.

Supports the extension of AdS/CFT to non-supersymmetric branes.

Abstract

In a previous work, we have shown that, like BPS Dp branes, bulk gravity gets decoupled from the brane even for the non-susy Dp branes of type II string theories indicating a possible extension of AdS/CFT correspondence for the non-supersymmetric case. In that work, the decoupling of gravity on the non-susy Dp branes has been shown numerically for the general case as well as analytically for some special case. Here we discuss the decoupling limit and the throat geometry of the non-susy D3 brane when the charge associated with the brane is very large. We show that in the decoupling limit the throat geometry of the non-susy D3 brane, under appropriate coordinate change, reduces to the Constable-Myers solution and thus confirming that this solution is indeed the holographic dual of a (non-gravitational) gauge theory discussed there. We also show that when one of the parameters of the solution takes a specific value, it reduces, under another coordinate change, to the five-dimensional solution obtained by Csaki and Reece, again confirming its gauge theory interpretation.