Brane brick models in the mirror
View/ Open
Author
Franco, Sebastián
Lee, Sangmin
Seong, Rak-Kyeong
Vafa, Cumrun
Published Version
https://doi.org/10.1007/JHEP02(2017)106Metadata
Show full item recordCitation
Franco, Sebastián, Sangmin Lee, Rak-Kyeong Seong, and Cumrun Vafa. 2017. “Brane Brick Models in the Mirror.” Journal of High Energy Physics 2017 (2). https://doi.org/10.1007/jhep02(2017)106.Abstract
Brane brick models are Type IIA brane configurations that encode the 2d N = (0, 2) gauge theories on the worldvolume of Dl-branes probing toric Calabi-Yau 4-folds. We use mirror symmetry to improve our understanding of this correspondence and to provide a systematic approach for constructing brane brick models starting from geometry. The mirror configuration consists of D5-branes wrapping 4-spheres and the gauge theory is determined by how they intersect. We also explain how 2d (0, 2) triality is realized in terms of geometric transitions in the mirror geometry. Mirror symmetry leads to a geometric unification of dualities in different dimensions, where the order of duality is n-1 for a Calabi-Yau n-fold. This makes us conjecture the existence of a quadrality symmetry in 0d. Finally, we comment on how the M-theory lift of brane brick models connects to the classification of 2d (0, 2) theories in terms of 4-manifolds.Terms of Use
This article is made available under the terms and conditions applicable to Other Posted Material, as set forth at http://nrs.harvard.edu/urn-3:HUL.InstRepos:dash.current.terms-of-use#LAACitable link to this page
http://nrs.harvard.edu/urn-3:HUL.InstRepos:41385038
Collections
- FAS Scholarly Articles [17828]
Contact administrator regarding this item (to report mistakes or request changes)