D-branes and the Conifold Singularity

Abstract

We analyze in detail the description of type IIB theory on a Calabi-Yau three-fold near a conifold singularity in terms of intersecting D-branes. In particular we study the singularity structure of higher derivative $F$-terms of the form $F_g{W}^{2g}$ where $W$ is the gravitational superfield. This singularity is expected to be due to a one -loop contribution from a charged soliton hypermultiplet becoming massless at the conifold point. In the intersecting D-brane description this soliton is described by an open string stretched between the two D-branes. After identifying the graviphoton vertex as a closed string operator we show that $F_g$'s have the expected singularity structure in the limit of vanishing soliton mass.

Latex file, 14 pages

References in corpus (5)

• Dirichlet-Branes and Ramond-Ramond Charges
• Algebras, BPS States, and Strings
• Two-Dimensional Black Hole and Singularities of CY Manifolds
• D-Strings on D-Manifolds
• N=2 Type II- Heterotic duality and Higher derivative F-terms

Cited by in corpus (7)

• D-Brane Topology Changing Transitions
• Worldsheet Realization of the Refined Topological String
• Duality of N=2 Heterotic -- Type I Compactifications in Four Dimensions
• Unification of M- and F- Theory Calabi-Yau Fourfold Vacua
• N=2 Type I-Heterotic Duality and Higher Derivative F-Terms
• $\mathcal{N}=2^{\star }$ from Topological Amplitudes in String Theory
• BPS states and supersymmetric index in N=2 type I string vacua