Abstract
We report on a broad new class of \( \mathcal{N} \) = 1 gauge theory dualities which relatethe worldvolume gauge theories of D3 branes probing different orientifolds of the sameCalabi-Yau singularity. In this paper, we focus on the simplest example of these newdualities, arising from the orbifold singularity \( {{\mathbb{C}}^3}/{{\mathbb{Z}}_3} \). We present extensive checks of theduality, including anomaly matching, partial moduli space matching, matching of discretesymmetries, and matching of the superconformal indices between the proposed duals. Wethen present a related duality for the dP 1 singularity, as well as dualities for the \( {{\mathbb{F}}_0} \) and Y 4,0 singularities, illustrating the breadth of this new class of dualities. In a companion paper, we show that certain infinite classes of geometries which include \( {{\mathbb{C}}^3}/{{\mathbb{Z}}_3} \) and dP 1 all exhibit such dualities, and argue that their ten-dimensional origin is the SL(2, \( \mathbb{Z} \)) self-duality oftype IIB string theory.
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García-Etxebarria, I., Heidenreich, B. & Wrase, T. New \( \mathcal{N} \) = 1 dualities from orientifold transitions Part I: field theory. J. High Energ. Phys. 2013, 7 (2013). https://doi.org/10.1007/JHEP10(2013)007
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DOI: https://doi.org/10.1007/JHEP10(2013)007