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Journal of High Energy Physics

, 2013:7

First Online: 01 October 2013Received: 16 July 2013Accepted: 26 September 2013 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 dP1 singularity, as well as dualities for the \ {{\mathbb{F}} 0} \ and Y 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 dP1 all exhibit such dualities, and argue that their ten-dimensional origin is the SL2,\ \mathbb{Z} \ self-duality oftype IIB string theory.

KeywordsDuality in Gauge Field Theories String Duality D-branes Supersymmetric gauge theory ArXiv ePrint: 1210.7799

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Autor: Iñaki García-Etxebarria - Ben Heidenreich - Timm Wrase


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