Publications and Research
Document Type
Article
Publication Date
2022
Abstract
We present a new, geometric perspective on the recently proposed triality of 2d N = (0, 1) gauge theories, based on its engineering in terms of D1-branes probing Spin(7) orientifolds. In this context, triality translates into the fact that multiple gauge theories correspond to the same underlying orientifold. We show how Spin(7) orientifolds based on a particular involution, which we call the universal involution, give rise to precisely the original version of N = (0, 1) triality. Interestingly, our work also shows that the space of possibilities is significantly richer. Indeed, general Spin(7) orientifolds extend triality to theories that can be regarded as consisting of coupled N = (0, 2) and (0, 1) sectors. The geometric construction of 2d gauge theories in terms of D1-branes at singularities therefore leads to extensions of triality that interpolate between the pure N = (0, 2) and (0, 1) cases.
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Comments
This article was originally published in Journal of High Energy Physics, available at https://doi.org/10.1007/JHEP01(2022)058
This work is distributed under a Creative Commons Attribution 4.0 International License (CC BY 4.0).