Abstract
We present a new, geometric perspective on the recently proposed triality of 2d \( \mathcal{N} \) = (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 \( \mathcal{N} \) = (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 \( \mathcal{N} \) = (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 \( \mathcal{N} \) = (0, 2) and (0, 1) cases.
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Franco, S., Mininno, A., Uranga, Á.M. et al. Spin(7) orientifolds and 2d \( \mathcal{N} \) = (0, 1) triality. J. High Energ. Phys. 2022, 58 (2022). https://doi.org/10.1007/JHEP01(2022)058
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DOI: https://doi.org/10.1007/JHEP01(2022)058