"Lagrangian disks" in M-theory

Authors

Sebastián Franco, CUNY City CollegeFollow
Sergei Gukov, California Institute of Technology
Sangmin Lee, Seoul National University
Rak-Kyeong Seong, Tsinghua University
James Sparks, University of Oxford

Document Type

Article

Publication Date

2020

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 G₂ holonomy spaces and to Spin(7) metrics on 8-manifolds with T² 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[M₄] on the other.

Comments

This article was originally published in Journal of High Energy Physics, available at https://doi.org/10.1007/JHEP11(2020)033

This work is distributed under a Creative Commons Attribution 4.0 International License (CC BY 4.0).