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We test the AdS/CFT correspondence by computing the partition function of some $\mathcal{N}=2$ quiver Chern-Simons-matter theories on three-sphere.
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D. Martelli and J. Sparks, Toric geometry, Sasaki-Einstein manifolds and a new infinite class of AdS/CFT duals
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D. Martelli and J. Sparks, Moduli spaces of Chern-Simons quiver gauge theories and AdS(4)/CFT(3)
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A. Hanany and A. Zaffaroni, Tilings, Chern-Simons Theories and M2 Branes
2008
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K. Ueda and M. Yamazaki, Toric Calabi-Yau four-folds dual to Chern-Simons-matter theories
2008
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Y. Imamura and K. Kimura, Quiver Chern-Simons theories and crystals
2008
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2008
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A. Hanany, D. Vegh, and A. Zaffaroni, Brane Tilings and M2 Branes
2009
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J. Bhattacharya and S. Minwalla, Superconformal Indices for 𝒩 = 6 {\cal N}=6 Chern Simons Theories
F. Benini, C. Closset, and S. Cremonesi, Chiral flavors and M2-branes at toric CY4 singularities
2010
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Y. Imamura and S. Yokoyama, A Monopole Index for N=4 Chern-Simons Theories
2010
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S. Kim and J. Park, Probing AdS4/CFT3 proposals beyond chiral rings
2010
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2010
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M. Marino and P. Putrov, Exact Results in ABJM Theory from Topological Strings
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2009
Cited alongside, same era.
S. Kim, The complete superconformal index for N=6 Chern-Simons theory
2009
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N. Halmagyi and V. Yasnov, The spectral curve of the lens space matrix model
2009
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2009
Cited alongside, same era.
M. Aganagic, A Stringy Origin of M2 Brane Chern-Simons Theories
2010
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D. L. Jafferis, Quantum corrections to N=2 Chern-Simons theories with flavor and their AdS4 duals
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Y. Imamura and S. Yokoyama, Twisted Sectors in Gravity Duals of N=4 Chern-Simons Theories
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Cited in the paper.
2010
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T. Suyama, On Large N Solution of Gaiotto-Tomasiello Theory
2010
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2010
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J. H. Lee, S. Kim, J. Kim, and N. Kim, Probing Non-Toric Geometry with Rotating Membranes
2010
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