TL;DR
This paper investigates how D3-brane positions influence the non-perturbative superpotential in type IIB string theory compactifications, providing explicit calculations of the one-loop pfaffian as a Jacobi theta function.
Contribution
It offers a detailed computation of the D3-brane dependent one-loop pfaffian in a specific Calabi-Yau compactification, extending previous work to include explicit dependence and complex structure considerations.
Findings
The one-loop pfaffian can be expressed as a Jacobi theta function.
The D3-brane moduli significantly affect the superpotential.
Complex structure moduli influence the pfaffian's form.
Abstract
We study the D3-brane moduli dependence of the non-perturbative superpotential generated by the D7-brane gaugino condensation in a type IIB compactification on an orientifold of the elliptic Calabi-Yau threefold Building on the work of Ganor, in the weak coupling limit, we compute the D3-brane dependent one-loop pfaffian in the flat coordinates and find that the one-loop pfaffian is written as the Jacobi theta function. We also comment on the complex structure dependence of the D3-brane dependent one-loop pfaffian.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsBlack Holes and Theoretical Physics · Geometry and complex manifolds · Algebraic Geometry and Number Theory