M2-Branes and Quiver Chern-Simons: A Taxonomic Study
arXiv:0811.4044
Abstract
We initiate a systematic investigation of the space of 2+1 dimensional quiver gauge theories, emphasising a succinct "forward algorithm". Few "order parametres" are introduced such as the number of terms in the superpotential and the number of gauge groups. Starting with two terms in the superpotential, we find a generating function, with interesting geometric interpretation, which counts the number of inequivalent theories for a given number of gauge groups and fields. We demonstratively list these theories for some low numbers thereof. Furthermore, we show how these theories arise from M2-branes probing toric Calabi-Yau 4-folds by explicitly obtaining the toric data of the vacuum moduli space. By observing equivalences of the vacua between markedly different theories, we see a new emergence of "toric duality".
33 pages, 16 Figures. Forward Algorithm in Section 2 corrected and clarified
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Cited by in corpus (30)
- Supersymmetry on Curved Spaces and Holography
- A Stringy Origin of M2 Brane Chern-Simons Theories
- The Large N Limit of Toric Chern-Simons Matter Theories and Their Duals
- Infrared Stability of N=2 Chern-Simons Matter Theories
- ABJM Mirrors and a Duality of Dualities
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- Counting Orbifolds
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- Gauge Theories, Tessellations & Riemann Surfaces
- M2-branes Theories without 3+1 Dimensional Parents via Un-Higgsing
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