Fetching the paper…

Reading the bibliography…

2014

Exact results in N=8 Chern-Simons-matter theories and quantum geometry

Codesido, Santiago, Grassi, Alba, Marino, Marcos

Original
PDF
Post on X

Understand

We show that, in ABJ(M) theories with N=8 supersymmetry, the non-perturbative sector of the partition function on the three-sphere simplifies drastically.

Due to this simplification, we are able to write closed form expressions for the grand potential of these theories, which determines the full large N asymptotics.
Moreover, we find explicit formulae for the generating functionals of their partition functions, for all values of the rank N of the gauge group: they involve Jacobi theta functions on the spectral curve associated to the planar limit.
Exact quantization conditions for the spectral problem of the Fermi gas are then obtained from the vanishing of the theta function.

Exact results in N=8 Chern-Simons-matter theories and quantum geometry · Around

Built on

P. Henrici, Applied and computational complex analysis
1977
Earlier work this paper cites.
I. Gohberg and S. Goldberg, Basic operator theory
1981
Earlier work this paper cites.
N. I. Akhiezer, Elements of the theory of elliptic functions
1990
Earlier work this paper cites.
P. S. Aspinwall, B. R. Greene and D. R. Morrison, “Measuring small distances in N = 2 N=2 sigma models,” Nucl. Phys. B 420
1994
Earlier work this paper cites.
A. B. Zamolodchikov, “Painleve III and 2-d polymers,” Nucl. Phys. B 432
1994
Earlier work this paper cites.
C. A. Tracy and H. Widom, “Proofs of two conjectures related to the thermodynamic Bethe ansatz,” Commun. Math. Phys. 179
1996
Earlier work this paper cites.
I. R. Klebanov and A. A. Tseytlin, “Entropy of near extremal black p-branes,” Nucl. Phys. B 475
1996
Earlier work this paper cites.
G. Bonnet, F. David and B. Eynard, “Breakdown of universality in multicut matrix models,” J. Phys. A 33
2000
Earlier work this paper cites.
B. Simon, Trace ideals and their applications
2000
Earlier work this paper cites.
J. M. Maldacena, “Non-Gaussian features of primordial fluctuations in single field inflationary models,” JHEP 0305
2003
Earlier work this paper cites.
J. M. Maldacena, G. W. Moore, N. Seiberg and D. Shih, “Exact vs. semiclassical target space of the minimal string,” JHEP 0410
2004
Earlier work this paper cites.
M. Mariño, “Chern-Simons theory, matrix integrals, and perturbative three manifold invariants,” Commun. Math. Phys. 253
2004
Earlier work this paper cites.
M. Aganagic, A. Klemm, M. Mariño and C. Vafa, “Matrix model as a mirror of Chern-Simons theory,” JHEP 0402
2004
Earlier work this paper cites.
B. Eynard and N. Orantin, “Invariants of algebraic curves and topological expansion,” Commun. Num. Theor. Phys. 1
2007
Earlier work this paper cites.
O. Aharony, O. Bergman, D. L. Jafferis and J. Maldacena, “N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals,” JHEP 0810
Original
2008
Earlier work this paper cites.
O. Aharony, O. Bergman and D. L. Jafferis, “Fractional M2-branes,” JHEP 0811
Original
2008
Earlier work this paper cites.
M. Aganagic, V. Bouchard and A. Klemm, “Topological Strings and (Almost) Modular Forms,” Commun. Math. Phys. 277
2008
Earlier work this paper cites.
M. Mariño, “Nonperturbative effects and nonperturbative definitions in matrix models and topological strings,” JHEP 0812
Original
2008
Earlier work this paper cites.
O. K. Kwon, P. Oh and J. Sohn, “Notes on Supersymmetry Enhancement of ABJM Theory,” JHEP 0908
Original
2009
Earlier work this paper cites.
B. Eynard, “Large N expansion of convergent matrix integrals, holomorphic anomalies, and background independence,” JHEP 0903
Original
2009
Earlier work this paper cites.

Similar

O. Bergman and S. Hirano, “Anomalous radius shift in AdS(4)/CFT(3),” JHEP 0907
Original
2009
Cited alongside, same era.
A. Iqbal, C. Kozcaz and C. Vafa, “The Refined topological vertex,” JHEP 0910
2009
Cited alongside, same era.
A. Kapustin, B. Willett and I. Yaakov, “Exact Results for Wilson Loops in Superconformal Chern-Simons Theories with Matter,” JHEP 1003
Original
2010
Cited alongside, same era.
M. Mariño and P. Putrov, “Exact Results in ABJM Theory from Topological Strings,” JHEP 1006
Original
2010
Cited alongside, same era.
M. K. Benna, I. R. Klebanov and T. Klose, “Charges of Monopole Operators in Chern-Simons Yang-Mills Theory,” JHEP 1001
Original
2010

Then

M. -x. Huang and A. Klemm, “Direct integration for general Ω \Omega backgrounds,” Adv. Theor. Math. Phys. 16
Original
2012
Later among the works it cites.
A. Castro and A. Maloney, “The Wave Function of Quantum de Sitter,” JHEP 1211
Original
2012
Later among the works it cites.
Y. Hatsuda, S. Moriyama and K. Okuyama, “Instanton Effects in ABJM Theory from Fermi Gas Approach,” JHEP 1301
Original
2013
Later among the works it cites.
Y. Hatsuda, S. Moriyama and K. Okuyama, “Instanton Bound States in ABJM Theory,” JHEP 1305
Original
2013
Later among the works it cites.
F. Calvo and M. Mariño, “Membrane instantons from a semiclassical TBA,” JHEP 1305
Original

Beyond the bibliography

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

Open on alphaXiv

alphaXiv is searching for related work…

Cited alongside, same era.

O. Aharony, A. Hashimoto, S. Hirano and P. Ouyang, “D-brane Charges in Gravitational Duals of 2+1 Dimensional Gauge Theories and Duality Cascades,” JHEP 1001

2010

Cited alongside, same era.

A. Kapustin, B. Willett and I. Yaakov, “Nonperturbative Tests of Three-Dimensional Dualities,” JHEP 1010

2010

Cited alongside, same era.

N. Drukker, M. Mariño, P. Putrov, “From weak to strong coupling in ABJM theory,” Commun. Math. Phys. 306

2011

Cited alongside, same era.

D. Bashkirov and A. Kapustin, “Supersymmetry enhancement by monopole operators,” JHEP 1105

2011

Cited alongside, same era.

D. Bashkirov and A. Kapustin, “Dualities between N = 8 superconformal field theories in three dimensions,” JHEP 1105

2011

Cited alongside, same era.

C. P. Herzog, I. R. Klebanov, S. S. Pufu and T. Tesileanu, “Multi-Matrix Models and Tri-Sasaki Einstein Spaces,” Phys. Rev. D 83

2011

Cited alongside, same era.

H. Fuji, S. Hirano and S. Moriyama, “Summing Up All Genus Free Energy of ABJM Matrix Model,” JHEP 1108

2011

Cited alongside, same era.

2013

Later among the works it cites.

H. Awata, S. Hirano and M. Shigemori, “The Partition Function of ABJ Theory,” Prog. Theor. Exp. Phys. , 053B04 (2013) [arXiv:1212.2966]

2013

Later among the works it cites.

M. Honda, “Direct derivation of ”mirror” ABJ partition function,” JHEP 1312

2013

Later among the works it cites.

D. Anninos, F. Denef and D. Harlow, “Wave function of Vasiliev’s universe: A few slices thereof,” Phys. Rev. D 88

2013

Later among the works it cites.

S. Banerjee, A. Belin, S. Hellerman, A. Lepage-Jutier, A. Maloney, D. Radicevic and S. Shenker, “Topology of Future Infinity in dS/CFT,” JHEP 1311

2013

Later among the works it cites.

Y. Hatsuda, M. Mariño, S. Moriyama and K. Okuyama, “Non-perturbative effects and the refined topological string,” JHEP 1409

2014

Closest in time.

S. Matsumoto and S. Moriyama, “ABJ Fractional Brane from ABJM Wilson Loop,” JHEP 1403

2014

Closest in time.

M. Honda and K. Okuyama, “Exact results on ABJ theory and the refined topological string,” JHEP 1408

2014

Closest in time.

S. M. Chester, J. Lee, S. S. Pufu and R. Yacoby, “The 𝒩 = 8 \mathcal{N}=8 superconformal bootstrap in three dimensions,” JHEP 1409

2014

Closest in time.

A. Dabholkar, N. Drukker and J. Gomes, “Localization in supergravity and quantum A d S 4 / C F T 3 AdS_{4}/CFT_{3} holography,” JHEP 1410

2014

Closest in time.

Y. Hatsuda and K. Okuyama, “Probing non-perturbative effects in M-theory,” JHEP 1410

2014

Closest in time.

M. Honda and S. Moriyama, “Instanton Effects in Orbifold ABJM Theory,” JHEP 1408

2014

Closest in time.

M. Mariño, “Lectures on non-perturbative effects in large N N gauge theories, matrix models and strings,” Fortsch. Phys. 62

2014

Closest in time.

X. f. Wang, X. Wang and M. x. Huang, “A Note on Instanton Effects in ABJM Theory,” JHEP 1411

2014

Closest in time.

A. Grassi and M. Mariño, “M-theoretic matrix models,” JHEP 1502

2015

Closest in time.