Built on

Ronald C. Read and Derek G. Corneil, “The graph isomorphism disease,” Journal of Graph Theory, Vol 1, No 4, pp339-363, 1977
1977
Earlier work this paper cites.
E. Luks, “Isomorphism of graphs of bounded valence can be tested in polynomial time” in SFCS ’80: Proceedings of the 21st Annual Symposium on Foundations of Computer Science
1980
Earlier work this paper cites.
I. R. Klebanov and E. Witten, “Superconformal field theory on threebranes at a Calabi-Yau singularity,” Nucl. Phys. B 536
1998
Earlier work this paper cites.
Thomas H. Cormen, Charles E. Leiserson, Ronald L. Rivest and Clifford Stein, “Introduction to algorithms,” MIT Press, 0-262-03293-7, 2001
2001
Earlier work this paper cites.
B. Feng, A. Hanany and Y. H. He, “D-brane gauge theories from toric singularities and toric duality,” Nucl. Phys. B 595
2001
Earlier work this paper cites.
J. Gray, Y. H. He, V. Jejjala and B. D. Nelson, “The geometry of particle physics,” Phys. Lett. B 638
2006
Earlier work this paper cites.

Similar

J. Bagger and N. Lambert, “Modeling multiple M2’s,” Phys. Rev. D 75
Original
2008
Cited alongside, same era.
A. Gustavsson, “Algebraic structures on parallel M2-branes,” arXiv:0709.1260 [hep-th]. “Selfdual strings and loop space Nahm equations,” JHEP 0804
Original
2008
Cited alongside, same era.
N. Lambert and D. Tong, “Membranes on an Orbifold,” Phys. Rev. Lett. 101
Original
2008
Cited alongside, same era.
M. Benna, I. Klebanov, T. Klose, M. Smedback, “Superconformal Chern-Simons Theories and AdS4/CFT3 Correspondence,” JHEP 0809
Original
2008
Cited alongside, same era.
K. Hosomichi, K. M. Lee, S. Lee, S. Lee and J. Park, “N=5,6 Superconformal Chern-Simons Theories and M2-branes on Orbifolds,” JHEP 0809

Then

D. Martelli and J. Sparks, “Notes on toric Sasaki-Einstein seven-manifolds and A d S 4 / C F T 3 AdS_{4}/CFT_{3} ,” JHEP 0811
Original
2008
Later among the works it cites.
K. Kennaway, “Brane Tilings,” Int. J. Mod. Phys. A 22
Original
2008
Later among the works it cites.
J. Gray, A. Hanany, Y. H. He, V. Jejjala and N. Mekareeya, “SQCD: A Geometric Apercu,” JHEP 0805
Original
2008
Later among the works it cites.
G. Papathanasiou and M. Spradlin, “The Morphology of N=6 Chern-Simons Theory,” JHEP 0907
Original
2009
Closest in time.
J. Davey, A. Hanany, N. Mekareeya and G. Torri, “Phases of M2-brane Theories,” JHEP 0906
Original

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

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2009

Probing the Space of Toric Quiver Theories

Hewlett, Joseph, He, Yang-Hui

Understand

We demonstrate a practical and efficient method for generating toric Calabi-Yau quiver theories, applicable to both D3 and M2 brane world-volume physics.

A new analytic method is presented at low order parametres and an algorithm for the general case is developed which has polynomial complexity in the number of edges in the quiver.
Using this algorithm, carefully implemented, we classify the quiver diagram and assign possible superpotentials for various small values of the number of edges and nodes.
We examine some preliminary statistics on this space of toric quiver theories.

Built on

Ronald C. Read and Derek G. Corneil, “The graph isomorphism disease,” Journal of Graph Theory, Vol 1, No 4, pp339-363, 1977
1977
Earlier work this paper cites.
E. Luks, “Isomorphism of graphs of bounded valence can be tested in polynomial time” in SFCS ’80: Proceedings of the 21st Annual Symposium on Foundations of Computer Science
1980
Earlier work this paper cites.
I. R. Klebanov and E. Witten, “Superconformal field theory on threebranes at a Calabi-Yau singularity,” Nucl. Phys. B 536
1998
Earlier work this paper cites.
Thomas H. Cormen, Charles E. Leiserson, Ronald L. Rivest and Clifford Stein, “Introduction to algorithms,” MIT Press, 0-262-03293-7, 2001
2001
Earlier work this paper cites.
B. Feng, A. Hanany and Y. H. He, “D-brane gauge theories from toric singularities and toric duality,” Nucl. Phys. B 595
2001
Earlier work this paper cites.
J. Gray, Y. H. He, V. Jejjala and B. D. Nelson, “The geometry of particle physics,” Phys. Lett. B 638
2006
Earlier work this paper cites.

Similar

J. Bagger and N. Lambert, “Modeling multiple M2’s,” Phys. Rev. D 75
Original
2008
Cited alongside, same era.
A. Gustavsson, “Algebraic structures on parallel M2-branes,” arXiv:0709.1260 [hep-th]. “Selfdual strings and loop space Nahm equations,” JHEP 0804
Original
2008
Cited alongside, same era.
N. Lambert and D. Tong, “Membranes on an Orbifold,” Phys. Rev. Lett. 101
Original
2008
Cited alongside, same era.
M. Benna, I. Klebanov, T. Klose, M. Smedback, “Superconformal Chern-Simons Theories and AdS4/CFT3 Correspondence,” JHEP 0809
Original
2008
Cited alongside, same era.
K. Hosomichi, K. M. Lee, S. Lee, S. Lee and J. Park, “N=5,6 Superconformal Chern-Simons Theories and M2-branes on Orbifolds,” JHEP 0809

Then

D. Martelli and J. Sparks, “Notes on toric Sasaki-Einstein seven-manifolds and A d S 4 / C F T 3 AdS_{4}/CFT_{3} ,” JHEP 0811
Original
2008
Later among the works it cites.
K. Kennaway, “Brane Tilings,” Int. J. Mod. Phys. A 22
Original
2008
Later among the works it cites.
J. Gray, A. Hanany, Y. H. He, V. Jejjala and N. Mekareeya, “SQCD: A Geometric Apercu,” JHEP 0805
Original
2008
Later among the works it cites.
G. Papathanasiou and M. Spradlin, “The Morphology of N=6 Chern-Simons Theory,” JHEP 0907
Original
2009
Closest in time.
J. Davey, A. Hanany, N. Mekareeya and G. Torri, “Phases of M2-brane Theories,” JHEP 0906
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…

Original

2008

Cited alongside, same era.

A. Hanany, N. Mekareeya and A. Zaffaroni, “Partition Functions for Membrane Theories,” JHEP 0809

Original

2008

Cited alongside, same era.

O. Aharony, O. Bergman, D. L. Jafferis and J. Maldacena, “N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals,” arXiv:0806.1218 [hep-th]

Original

Cited in the paper.

S. Franco, A. Hanany, J. Park and D. Rodriguez-Gomez, “Towards M2-brane Theories for Generic Toric Singularities,” arXiv:0809.3237 [hep-th]

Original

Cited in the paper.

K. Ueda and M. Yamazaki, “Toric Calabi-Yau four-folds dual to Chern-Simons-matter theories,” arXiv:0808.3768 [hep-th]

Original

Cited in the paper.

Y. Imamura, K. Kimura, “Quiver Chern-Simons theories and crystals,” arXiv:0808.4155 [hep-th]

Original

Cited in the paper.

D. Martelli and J. Sparks, “Moduli spaces of Chern-Simons quiver gauge theories and AdS(4)/CFT(3),” arXiv:0808.0912 [hep-th]

Original

Cited in the paper.

A. Hanany and A. Zaffaroni, “Tilings, Chern-Simons Theories and M2 Branes,” arXiv:0808.1244 [hep-th]

Original

Cited in the paper.

2009

Closest in time.

A. Hanany, “Finding M Theory Duals to Type IIA Backgrounds with RR Fluxes,” (talk at Fundamental Aspects of Superstring Theory), May 29, 2009, Kavli Institute for Theoretical Physics (KITP): http://online.itp.ucsb.edu/online/strings09/hanany2/

2009

Closest in time.