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Double handled brane tilings

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Abstract

We classify the first few brane tilings on a genus 2 Riemann surface and identify their toric Calabi-Yau moduli spaces. These brane tilings are extensions of tilings on the 2-torus, which represent one of the largest known classes of 4d \( \mathcal{N}=1 \) superconformal field theories for D3-branes. The classification consists of 16 distinct genus 2 brane tilings with up to 8 quiver fields and 4 superpotential terms. The Higgs mechanism is used to relate the different theories.

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Correspondence to Rak-Kyeong Seong.

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ArXiv ePrint: 1305.3607

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Cremonesi, S., Hanany, A. & Seong, RK. Double handled brane tilings. J. High Energ. Phys. 2013, 1 (2013). https://doi.org/10.1007/JHEP10(2013)001

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