2008

A simple class of N=3 gauge/gravity duals

Jafferis, Daniel Louis, Tomasiello, Alessandro

Understand

We find the gravity duals to an infinite series of N=3 Chern-Simons quiver theories.

They are AdS_4 x M_7 vacua of M-theory, with M_7 in a certain class of 3-Sasaki-Einstein manifolds obtained by a quotient construction.
The field theories can be engineered from a brane configuration; their geometry is summarized by a "hyperKaehler toric fan" that can be read off easily from the relative angles of the branes.
The singularity at the tip of the cone over M_7 is generically not an orbifold.

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Similar

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1997
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M. Billo, D. Fabbri, P. Fre, P. Merlatti, and A. Zaffaroni, “Rings of short 𝒩 = 3 {\cal N}=3 superfields in three dimensions and M–theory on AdS 4 × N 0 , 1 , 0 {}_{4}\times N^{0,1,0} ,” Class. Quant. Grav
2001
Cited alongside, same era.

Then

S. Franco, A. Hanany, K. D. Kennaway, D. Vegh, and B. Wecht, “Brane dimers and quiver gauge theories,” JHEP
2006
Later among the works it cites.
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2007
Later among the works it cites.
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2007
Later among the works it cites.
S. Lee, S. Lee, and J. Park, “Toric AdS 4 /CFT 3 duals and M–theory crystals,” JHEP
2007
Later among the works it cites.
J. Bagger and N. Lambert, “Modeling multiple M2’s,” Phys. Rev
2007
Later among the works it cites.
K.-M. Lee and H.-U. Yee, “New AdS 4 × X 7 {}_{4}\times X_{7} geometries with N = 6 {\rm N}=6 in M–theory,” JHEP
2007
Later among the works it cites.
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D. Gaiotto and X. Yin, “Notes on superconformal Chern–Simons–matter theories,” JHEP
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Later among the works it cites.
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Later among the works it cites.
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2008
Closest in time.
J. Bagger and N. Lambert, “Gauge Symmetry and Supersymmetry of Multiple M2-Branes,” Phys. Rev
2008
Closest in time.
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Closest in time.
K. Hosomichi, K.-M. Lee, S. Lee, S. Lee, and J. Park, “ 𝒩 = 4 {\cal N}=4 Superconformal Chern–Simons Theories with Hyper and Twisted Hyper Multiplets,” JHEP
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Closest in time.
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2008
Closest in time.

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