Published November 2020
| Published + Submitted
Journal Article
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"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 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.
Additional Information
© 2020 The Authors. This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited. Article funded by SCOAP3. Received: April 26, 2020; Revised: September 11, 2020; Accepted: September 27, 2020; Published: November 10, 2020. It is pleasure to thank Robert Bryant, Lorenzo Foscolo, Sheldon Katz, Rafe Mazzeo, Jeffrey Meier, Grigory Mikhalkin, and Nathan Seiberg for useful discussions. The work of S.F. is supported by the National Science Foundation grant PHY-1820721. The work of S.G. is supported by the U.S. Department of Energy, Office of Science, Office of High Energy Physics, under Award No. DE-SC0011632, and by the National Science Foundation under Grant No. NSF DMS 1664240. The work of S.L. is supported by Samsung Science and Technology Foundation under Project Number SSTF-BA1402-08.Attached Files
Published - 2020_Article_.pdf
Submitted - 1910.01645.pdf
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2020_Article_.pdf
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Additional details
- Eprint ID
- 106591
- Resolver ID
- CaltechAUTHORS:20201110-123837447
- NSF
- PHY-1820721
- Department of Energy (DOE)
- DE-SC0011632
- NSF
- DMS-1664240
- Samsung Science and Technology Foundation
- SSTF-BA1402-08
- SCOAP3
- Created
-
2020-11-10Created from EPrint's datestamp field
- Updated
-
2021-11-16Created from EPrint's last_modified field
- Caltech groups
- Walter Burke Institute for Theoretical Physics