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Brane tilings and specular duality

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Abstract

We study a new duality which pairs 4d \( \mathcal{N} = 1 \) supersymmetric quiver gauge theories. They are represented by brane tilings and are worldvolume theories of D3 branes at Calabi-Yau 3-fold singularities. The new duality identifies theories which have the same combined mesonic and baryonic moduli space, otherwise called the master space. We obtain the associated Hilbert series which encodes both the generators and defining relations of the moduli space. We illustrate our findings with a set of brane tilings that have reflexive toric diagrams.

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  1. Theoretical Physics Group, The Blackett Laboratory, Imperial College London, Prince Consort Road, London, SW7 2AZ, U.K.

    Amihay Hanany & Rak-Kyeong Seong

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  1. Amihay Hanany
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  2. Rak-Kyeong Seong
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Correspondence to Rak-Kyeong Seong.

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ArXiv ePrint: 1206.2386

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Hanany, A., Seong, RK. Brane tilings and specular duality. J. High Energ. Phys. 2012, 107 (2012). https://doi.org/10.1007/JHEP08(2012)107

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