The (p,q) String Tension in a Warped Deformed Conifold

TL;DR

This paper calculates the tension spectrum of (p,q) string bound states in a warped deformed conifold, revealing how fluxes stabilize D3-branes and allow binding even for non-coprime charges, with implications for cosmic strings.

Contribution

It provides a novel derivation of the (p,q) string tension spectrum in a warped deformed conifold using flux-stabilized D3-branes, including non-coprime charge cases.

Findings

Tension spectrum derived for (p,q) strings in warped deformed conifold.

Binding energy allows non-coprime (p,q) strings to form bound states.

Implications discussed for cosmic string models.

Abstract

We find the tension spectrum of the bound states of p fundamental strings and q D-strings at the bottom of a warped deformed conifold. We show that it can be obtained from a D3-brane wrapping a 2-cycle that is stabilized by both electric and magnetic fluxes. Because the F-strings are Z_M-charged with non-zero binding energy, binding can take place even if (p,q) are not coprime. Implications for cosmic strings are briefly discussed.