"Lagrangian Disks" in M-theory

Abstract

While the study of bordered (pseudo-)holomorphic curves with boundary on Lagrangian submanifolds has a long history, a similar problem that involves (special) Lagrangian submanifolds with boundary on complex surfaces appears to be largely overlooked in both physics and math literature. We relate this problem to geometry of coassociative submanifolds in $G_2$ holonomy spaces and to $Spin(7)$ metrics on 8-manifolds with $T^2$ fibrations. As an application to physics, we propose a large class of brane models in type IIA string theory that generalize brane brick models on the one hand and 2d theories $T[M_4]$ on the other.

38 pages, 19 figures

References in corpus (3)

• Brane Brick Models in the Mirror
• Brane Brick Models and 2d (0,2) Triality
• Brane Brick Models, Toric Calabi-Yau 4-Folds and 2d (0,2) Quivers

Cited by in corpus (2)

• Fano 3-Folds, Reflexive Polytopes and Brane Brick Models
• On M-theory on Real Toric Fibrations