Fetching the paper…

Reading the bibliography…

2011

The large N limit of quiver matrix models and Sasaki-Einstein manifolds

Martelli, Dario, Sparks, James

Original
PDF
Post on X

Understand

We study the matrix models that result from localization of the partition functions of N=2 Chern-Simons-matter theories on the three-sphere.

A large class of such theories are conjectured to be holographically dual to M-theory on Sasaki-Einstein seven-manifolds.
We study the M-theory limit (large N and fixed Chern-Simons levels) of these matrix models for various examples, and show that in this limit the free energy reproduces the expected AdS/CFT result of N^{3/2}/Vol(Y)^{1/2}, where Vol(Y) is the volume of the corresponding Sasaki-Einstein metric.
More generally we conjecture a relation between the large N limit of the partition function, interpreted as a function of trial R-charges, and the volumes of Sasakian metrics on links of Calabi-Yau four-fold singularities.

The large N limit of quiver matrix models and Sasaki-Einstein manifolds · Around

Built on

I. R. Klebanov and A. A. Tseytlin, “Entropy of Near-Extremal Black p-branes,” Nucl. Phys. B 475
1996
Earlier work this paper cites.
R. Emparan, C. V. Johnson and R. C. Myers, “Surface terms as counterterms in the AdS/CFT correspondence,” Phys. Rev. D 60
1999
Earlier work this paper cites.
D. R. Morrison and M. R. Plesser, “Non-spherical horizons. I,” Adv. Theor. Math. Phys. 3
1999
Earlier work this paper cites.
K. A. Intriligator and B. Wecht, “The exact superconformal R-symmetry maximizes a,” Nucl. Phys. B 667
2003
Earlier work this paper cites.
J. H. Schwarz, “Superconformal Chern-Simons theories,” JHEP 0411
2004
Earlier work this paper cites.
A. Butti and A. Zaffaroni, “R-charges from toric diagrams and the equivalence of a-maximization and Z-minimization,” JHEP 0511
2005
Earlier work this paper cites.
D. Martelli, J. Sparks and S. T. Yau, “The geometric dual of a-maximisation for toric Sasaki-Einstein manifolds,” Commun. Math. Phys. 268
2006
Earlier work this paper cites.
J. P. Gauntlett, D. Martelli, J. Sparks and S. T. Yau, “Obstructions to the existence of Sasaki-Einstein metrics,” Commun. Math. Phys. 273
2007
Earlier work this paper cites.
D. Gaiotto and X. Yin, “Notes on superconformal Chern-Simons-matter theories,” JHEP 0708
Original
2007
Earlier work this paper cites.
J. Bagger and N. Lambert, “Modeling multiple M2’s,” Phys. Rev. D 75
Original
2008
Earlier work this paper cites.

Similar

O. Aharony, O. Bergman, D. L. Jafferis and J. Maldacena, “ 𝒩 = 6 {\cal N}=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals,” JHEP 0810
Original
2008
Cited alongside, same era.
Y. Imamura and K. Kimura, “On the moduli space of elliptic Maxwell-Chern-Simons theories,” Prog. Theor. Phys. 120
Original
2008
Cited alongside, same era.
D. L. Jafferis and A. Tomasiello, “A simple class of 𝒩 = 3 {\cal N}=3 gauge/gravity duals,” JHEP 0810
Original
2008
Cited alongside, same era.
D. Martelli, J. Sparks and S. T. Yau, “Sasaki-Einstein manifolds and volume minimisation,” Commun. Math. Phys. 280
2008
Cited alongside, same era.
D. Martelli and J. Sparks, “Moduli spaces of Chern-Simons quiver gauge theories and AdS 4 /CFT 3 ,” Phys. Rev. D 78

Then

T. Suyama, “On Large N Solution of ABJM Theory,” Nucl. Phys. B 834
Original
2010
Later among the works it cites.
A. Kapustin, B. Willett and I. Yaakov, “Exact Results for Wilson Loops in Superconformal Chern-Simons Theories with Matter,” JHEP 1003
Original
2010
Later among the works it cites.
M. Gabella, J. P. Gauntlett, E. Palti, J. Sparks and D. Waldram, “AdS 5 Solutions of Type IIB Supergravity and Generalized Complex Geometry,” Commun. Math. Phys. 299
Original
2010
Later among the works it cites.
M. Aganagic, “A Stringy Origin of M2 Brane Chern-Simons Theories,” Nucl. Phys. B 835
Original
2010
Later among the works it cites.
F. Benini, C. Closset and S. Cremonesi, “Chiral flavors and M2-branes at toric CY4 singularities,” JHEP 1002

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

2008

Cited alongside, same era.

A. Hanany and A. Zaffaroni, “Tilings, Chern-Simons Theories and M2 Branes,” JHEP 0810

2008

Cited alongside, same era.

O. Aharony, O. Bergman and D. L. Jafferis, “Fractional M2-branes,” JHEP 0811

2008

Cited alongside, same era.

A. Gustavsson, “Algebraic structures on parallel M2-branes,” Nucl. Phys. B 811

2009

Cited alongside, same era.

A. Hanany, D. Vegh and A. Zaffaroni, “Brane Tilings and M2 Branes,” JHEP 0903

2009

Cited alongside, same era.

A. Futaki, H. Ono, G. Wang, “Transverse Kähler geometry of Sasaki manifolds and toric Sasaki-Einstein manifolds,” J. Diff. Geom. 83

2009

Cited alongside, same era.

N. Drukker, M. Marino and P. Putrov, “From weak to strong coupling in ABJM theory,” arXiv:1007.3837 [hep-th]

Cited in the paper.

C. P. Herzog, I. R. Klebanov, S. S. Pufu and T. Tesileanu, “Multi-Matrix Models and Tri-Sasaki Einstein Spaces,” arXiv:1011.5487 [hep-th]

Cited in the paper.

2010

Later among the works it cites.

D. Gaiotto and A. Tomasiello, “The gauge dual of Romans mass,” JHEP 1001

2010

Later among the works it cites.

M. Marino and P. Putrov, “Exact Results in ABJM Theory from Topological Strings,” JHEP 1006

2010

Later among the works it cites.

T. Suyama, “On Large N N Solution of Gaiotto-Tomasiello Theory,” JHEP 1010

2010

Later among the works it cites.

D. Martelli and J. Sparks, “AdS 4 /CFT 3 duals from M2-branes at hypersurface singularities and their deformations,” JHEP 0912

2036

Closest in time.