Brane dimers and quiver gauge theories

Journal of High Energy Physics

Volumn , Issue 1, 2006, Pages 2401-2448

  Franco, Sebastián ^a   Hanany, Amihay ^a   Vegh, David ^a   Wecht, Brian ^a   Kennaway, Kristian D ^b  

^a MASSACHUSETTS INSTITUTE OF TECHNOLOGY   (United States)

^b UNIVERSITY OF TORONTO   (Canada)

Author keywords

AdS CFT Correspondence; D branes

Indexed keywords

EID: 33645531080     PISSN: 10298479     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2006/01/096     Document Type: Article

References (53)

1. J. McKay, Graphs, singularities, and finite groups 1980 Pure Math. 37 183-186
2. A. Hanany and E. Witten, Type IIB superstrings, BPS monopoles and three-dimensional gauge dynamics 1997 Nucl. Phys. B 492 152 [hep-th/9611230]
3. H. Ooguri and C. Vafa, Two-dimensional black hole and singularities of CY manifolds 1996 Nucl. Phys. B 463 55 [hep-th/9511164]
4. A. Karch, D. Lüst and D.J. Smith, Equivalence of geometric engineering and Hanany-Witten via fractional branes 1998 Nucl. Phys. B 533 348 [hep-th/9803232]
5. Y. Ito and M. Reid, The mckay correspondence for finite subgroups of SL(3,C) [alg-geom/9411010]
6. M. Reid, McKay correspondence [alg-geom/9702016]
7. S. Govindarajan and T. Jayaraman, D-branes, exceptional sheaves and quivers on Calabi-Yau manifolds: from Mukai to McKay 2001 Nucl. Phys. B 600 457 [hep-th/0010196]
8. A. Tomasiello, D-branes on Calabi-Yau manifolds and helices 2001 J. High Energy Phys. JHEP02(2001)008 [hep-th/0010217]
9. P. Mayr, Phases of supersymmetric D-branes on Kähler manifolds and the mckay correspondence 2001 J. High Energy Phys. JHEP01(2001)018 [hep-th/0010223]
10. W. Lerche, P. Mayr and J. Walcher, A new kind of McKay correspondence from non-abelian gauge theories [hep-th/0103114]
11. M.R. Douglas, B.R. Greene and D.R. Morrison, Orbifold resolution by D-branes 1997 Nucl. Phys. B 506 84 [hep-th/9704151]
12. M.R. Douglas and G.W. Moore, D-branes, quivers and ALE instantons [hep-th/9603167]
13. A.E. Lawrence, N. Nekrasov and C. Vafa, On conformal field theories in four dimensions 1998 Nucl. Phys. B 533 199 [hep-th/9803015]
14. A. Hanany and Y.-H. He, Non-abelian finite gauge theories 1999 J. High Energy Phys. JHEP02(1999)013 [hep-th/9811183]
15. B. Feng, A. Hanany and Y.-H. He, D-brane gauge theories from toric singularities and toric duality 2001 Nucl. Phys. B 595 165 [hep-th/0003085]
16. B. Feng, A. Hanany and Y.-H. He, Phase structure of D-brane gauge theories and toric duality 2001 J. High Energy Phys. JHEP08(2001)040 [hep-th/0104259]
17. C.E. Beasley and M.R. Plesser, Toric duality is Seiberg duality 2001 J. High Energy Phys. JHEP12(2001)001 [hep-th/0109053]
18. W. Fulton, Introduction to toric varieties (Princeton University Press), 1993
19. N.C. Leung and C. Vafa, Branes and toric geometry 1998 Adv. Theor. Math. Phys. 2 91 [hep-th/9711013]
20. B. Feng, S. Franco, A. Hanany and Y.-H. He, Symmetries of toric duality 2002 J. High Energy Phys. JHEP12(2002)076 [hep-th/0205144]
21. 3 2004 Adv. Theor. Math. Phys. 8 711 [hep-th/0403002]
22. D. Martelli and J. Sparks, Toric geometry, Sasaki-Einstein manifolds and a new infinite class of AdS/CFT duals [hep-th/0411238]
23. M. Bertolini, F. Bigazzi and A.L. Cotrone, New checks and subtleties for AdS/CFT and a-maximization 2004 J. High Energy Phys. JHEP12(2004)024 [hep-th/0411249]
24. S. Benvenuti, S. Franco, A. Hanany, D. Martelli and J. Sparks, An infinite family of superconformal quiver gauge theories with Sasaki-Einstein duals 2005 J. High Energy Phys. JHEP06(2005)064 [hep-th/0411264]
25. K. Intriligator and B. Wecht, The exact superconformal R-symmetry maximizes A 2003 Nucl. Phys. B 667 183 [hep-th/0304128]
26. C.P. Herzog, Q.J. Ejaz and I.R. Klebanov, Cascading RG flows from new Sasaki-Einstein manifolds 2005 J. High Energy Phys. JHEP02(2005)009 [hep-th/0412193]
27. A. Hanany and A. Zaffaroni, On the realization of chiral four-dimensional gauge theories using branes 1998 J. High Energy Phys. JHEP05(1998)001 [hep-th/9801134]
28. A. Hanany and A.M. Uranga, Brane boxes and branes on singularities 1998 J. High Energy Phys. JHEP05(1998)013 [hep-th/9805139]
29. M. Aganagic, A. Karch, D. Lüst and A. Miemiec, Mirror symmetries for brane configurations and branes at singularities 2000 Nucl. Phys. B 569 277 [hep-th/9903093]
30. B. Feng, A. Hanany, Y.-H. He and A.M. Uranga, Toric duality as Seiberg duality and brane diamonds 2001 J. High Energy Phys. JHEP12(2001)035 [hep-th/0109063]
31. D. Bazeia and F.A. Brito, Pattern formation through the entrapment of a network of domain walls 2000 Phys. Rev. D 62 101701 [hep-th/0005045]
32. A. Okounkov, N. Reshetikhin and C. Vafa, Quantum Calabi-Yau and classical crystals [hep-th/0309208]
33. A. Hanany and K.D. Kennaway, Dimer models and toric diagrams [hep-th/0503149]
34. D.R. Morrison and M.R. Plesser, Non-spherical horizons, I 1999 Adv. Theor. Math. Phys. 3 1 [hep-th/9810201]
35. S. Elitzur, A. Giveon, D. Kutasov, E. Rabinovici and G. Sarkisian, D-branes in the background of NS fivebranes 2001 Int. J. Mod. Phys. A 16 880
36. K. Intriligator and B. Wecht, Baryon charges in 4d superconformal field theories and their AdS duals 2004 Comm. Math. Phys. 245 407 [hep-th/0305046]
37. S. Benvenuti and A. Hanany, New results on superconformal quivers [hep-th/0411262]
38. R. Kenyon, An introduction to the dimer model [math.CO/0310326]
39. P. Kasteleyn, Graph theory and crystal physics in Graph theory and theoretical physics (Academic Press, London), 1967, pp. 43-110
40. B. Feng, S. Franco, A. Hanany and Y.-H. He, Unhiggsing the del pezzo 2003 J. High Energy Phys. JHEP08(2003)058 [hep-th/0209228]
41. A. Hanany, P. Kazakopoulos and B. Wecht, A new infinite class of quiver gauge theories 2005 J. High Energy Phys. JHEP08(2005)054 [hep-th/0503177]
42. M. Schmaltz, Duality of non-supersymmetric large-N gauge theories 1999 Phys. Rev. D 59 105018 [hep-th/9805218]
43. S. Franco, A. Hanany, Y.-H. He and P. Kazakopoulos, Duality walls, duality trees and fractional branes [hep-th/0306092]
44. S. Franco, A. Hanany and Y.-H. He, A trio of dualities: walls, trees and cascades 2004 Fortschr. Phys. 52 540 [hep-th/0312222]
45. S. Franco, Y.-H. He, C. Herzog and J. Walcher, Chaotic duality in string theory 2004 Phys. Rev. D 70 046006 [hep-th/0402120]
46. J. Propp, Generalized domino-shuffling [math.CO/0111034]
47. A. Hanany, M.J. Strassler and A.M. Uranga, Finite theories and marginal operators on the brane 1998 J. High Energy Phys. JHEP06(1998)011 [hep-th/9803086]
48. R. Kenyon, A. Okounkov and S. Sheffield, Dimers and amoebae [math-ph/0311005]
49. B. Feng, Y.-H. He and F. Lam, On correspondences between toric singularities and (p,q)-webs 2004 Nucl. Phys. B 701 334 [hep-th/0403133]
50. S. Benvenuti, A. Hanany and P. Kazakopoulos, The toric phases of the y(p,q) quivers 2005 J. High Energy Phys. JHEP07(2005)021 [hep-th/0412279]
51. A. Dunn and A. Hanany, unpublished work
52. D. Martelli, J. Sparks and S.T. Yau, The geometric dual of a-maximisation for toric Sasaki-Einstein manifolds [hep-th/0503183]
53. A. Hanany and D. Vegh, Quivers, tilings, branes and rhombi [hep-th/0511063]