D-Branes on K3-Fibrations
P.Kaste, W.Lerche, C.A.Lutken, J.Walcher
TL;DR
This paper constructs and analyzes B-type D-branes on K3-fibrations using boundary conformal field theory, comparing microscopic charges with geometric Ramond charges, and studying moduli of bundles on K3 fibers.
Contribution
It provides a detailed boundary CFT construction of D-branes on K3-fibrations and confirms the expected increase in bundle moduli upon fibration.
Findings
CFT charges match geometric Ramond charges
Each bundle component gains one modulus in the fibration
Supports boundary CFT as a valid tool for D-brane analysis
Abstract
B-type D-branes are constructed on two different K3-fibrations over IP_1 using boundary conformal field theory at the rational Gepner points of these models. The microscopic CFT charges are compared with the Ramond charges of D-branes wrapped on holomorphic cycles of the corresponding Calabi-Yau manifold. We study in particular D4-branes and bundles localized on the K3 fibers, and find from CFT that each irreducible component of a bundle on K3 gains one modulus upon fibration over IP_1. This is in agreement with expectations and so provides a further test of the boundary CFT.
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.