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Seiberg duality for Chern-Simons quivers and D-brane mutations

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Abstract

Chern-Simons quivers for M2-branes at Calabi-Yau singularities are best understood as the low energy theory of D2-branes on a dual type IIA background. We show how the D2-brane point of view naturally leads to three dimensional Seiberg dualities for Chern-Simons quivers with chiral matter content: They arise from a change of brane basis (or mutation), in complete analogy with the better known Seiberg dualities for D3-brane quivers. This perspective reproduces the known rules for Seiberg dualities in Chern-Simons-Yang-Mills theories with unitary gauge groups. We provide explicit examples of dual theories for the quiver dual to the \( {Y^{{p,q}}}\left( {\mathbb{C}{\mathbb{P}^{{2}}}} \right) \) geometries. We also comment on the string theory derivation of CS quivers dual to massive type IIA geometries.

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  1. Department of Particle Physics and Astrophysics, Weizmann Institute of Science, Rehovot, 76100, Israel

    Cyril Closset

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Closset, C. Seiberg duality for Chern-Simons quivers and D-brane mutations. J. High Energ. Phys. 2012, 56 (2012). https://doi.org/10.1007/JHEP03(2012)056

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