Non-BPS D-branes on a Calabi-Yau Orbifold

TL;DR

This paper studies the stability and decay processes of non-BPS D-branes on a Calabi-Yau orbifold, revealing conditions for their stability, decay channels, and phase transitions in the moduli space.

Contribution

It provides a detailed analysis of non-BPS D-brane configurations on a Calabi-Yau orbifold, including stability regions, decay mechanisms, and the nature of phase transitions.

Findings

Stable configurations exist in certain moduli space regions.

Decay into non-BPS D3-branes occurs beyond stability regions.

A marginal deformation connects D-string and D3-brane systems at the boundary.

Abstract

A system containing a pair of non-BPS D-strings of type IIA string theory on an orbifold, representing a single D2-brane wrapped on a nonsupersymmetric 2-cycle of a Calabi-Yau 3-fold with $(h^{(1,1)},h^{(1,2)})$ = (11,11), is analyzed. In certain region of the moduli space the configuration is stable. We show that beyond the region of stability the system can decay into a pair of non-BPS D3-branes. At one point on the boundary of the region of stability, there exists a marginal deformation which connects the system of non-BPS D-strings to the system of non-BPS D3-branes. Across any other point on the boundary of the region of stability, the transition from the system of non-BPS D-strings to the system of non-BPS D3-branes is first order. We discuss the phase diagram in the moduli space for these configurations.