TL;DR
This paper introduces a 3d topological sigma model mapping 3-manifolds to Calabi-Yau 3-folds, localizing on special Lagrangian submanifolds, and explores its coupling with gauge fields and mirror symmetry.
Contribution
It presents a novel 3d topological sigma model framework for studying D-branes and special Lagrangian submanifolds in Calabi-Yau manifolds, including gauge coupling aspects.
Findings
Path integral localizes on special Lagrangian moduli space
Coupling with dynamical U(1) gauge fields analyzed
Implications for mirror symmetry discussed
Abstract
A 3d topological sigma model describing maps from a 3-manifold Y to a Calabi-Yau 3-fold M is introduced. As the model is topological, we can choose an arbitrary metric on M. Upon scaling up the metric, the path integral by construction localizes on the moduli space of special Lagrangian submanifolds of M. We couple the theory to dynamical gauge fields and discuss the case where M has a mirror and the gauge group is U(1).
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.