R-charges from toric diagrams and the equivalence of a-maximization and Z-minimization

Journal of High Energy Physics

Volumn , Issue 11, 2005, Pages 427-468

  Butti, Agostino ^a   Zaffaroni, Alberto ^a  

^a UNIVERSITY OF MILANO BICOCCA   (Italy)

Author keywords

AdS CFT and dS CFT Correspondence

Indexed keywords

EID: 33645502502     PISSN: 10298479     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2005/11/019     Document Type: Article

References (34)

1. I.R. Klebanov and E. Witten, Superconformal field theory on threebranes at a Calabi-Yau singularity 1998 Nucl. Phys. B 536 199 [hep-th/9807080]
2. B.S. Acharya, J.M. Figueroa-O'Farrill, C.M. Hull and B.J. Spence, Branes at conical singularities and holography 1999 Adv. Theor. Math. Phys. 2 1249 [hep-th/9808014]
3. D.R. Morrison and M.R. Plesser, Non-spherical horizons. I 1999 Adv. Theor. Math. Phys. 3 1 [hep-th/9810201]
4. 5 solutions of M-theory 2004 Class. Quantum Grav. 21 4335 [hep-th/0402153]
5. J.P. Gauntlett, D. Martelli, J. Sparks and D. Waldram, Sasaki-Einstein metrics on S(2) × S(3), 2004 Adv. Theor. Math. Phys. 8 711 [hep-th/0403002]
6. J.P. Gauntlett, D. Martelli, J. Sparks and D. Waldram, A new infinite class of Sasaki-Einstein manifolds [hep-th/0403038]
7. M. Cvetic, H. Lu, D.N. Page and C.N. Pope, New Einstein-Sasaki spaces in five and higher dimensions [hep-th/0504225]
8. M. Cvetic, H. Lu, D.N. Page and C.N. Pope, New Einstein-Sasaki and Einstein spaces from Kerr-de Sitter [hep-th/0505223]
9. 3, 2005 Phys. Lett. B 621 208 [hep-th/0505027]
10. 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]
11. S. Benvenuti and M. Kruczenski, From Sasaki-Einstein spaces to quivers via BPS geodesics: Lpqr [hep-th/0505206]
12. A. Butti, D. Forcella and A. Zaffaroni, The dual superconformal theory for L(p,q,r) manifolds 2005 J. High Energy Phys. JHEP09(2005)018 [hep-th/0505220]
13. S. Franco et al., Gauge theories from toric geometry and brane tilings [hep-th/0505211]
14. 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]
15. 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]
16. S. Benvenuti and M. Kruczenski, Semiclassical strings in Sasaki-Einstein manifolds and long operators in N ≤ 1 gauge theories [hep-th/0505046]
17. K. Intriligator and B. Wecht, The exact superconformal R-symmetry maximizes a 2003 Nucl. Phys. B 667 183 [hep-th/0304128]
18. D. Martelli, J. Sparks and S.T. Yau, The geometric dual of a-maximisation for toric Sasaki- Einstein manifolds [hep-th/0503183]
19. A. Hanany and K.D. Kennaway, Dimer models and toric diagrams [hep-th/0503149]
20. S. Franco, A. Hanany, K.D. Kennaway, D. Vegh and B. Wecht, Brane dimers and quiver gauge theories [hep-th/0504110]
21. 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]
22. A. Hanany and A.M. Uranga, Brane boxes and branes on singularities 1998 J. High Energy Phys. JHEP05(1998)013 [hep-th/9805139]
23. A. Hanany and E. Witten, Type iib superstrings, BPS monopoles and three-dimensional gauge dynamics 1997 Nucl. Phys. B 492 152 [hep-th/9611230]
24. A. Hanany and A. Iqbal, Quiver theories from D6-branes via mirror symmetry 2002 J. High Energy Phys. JHEP04(2002)009 [hep-th/0108137]
25. 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]
26. 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]
27. D. Anselmi, D.Z. Freedman, M.T. Grisaru and A.A. Johansen, Nonperturbative formulas for central functions of supersymmetric gauge theories 1998 Nucl. Phys. B 526 543 [hep-th/9708042]
28. D. Anselmi, D.Z. Freedman, M.T. Grisaru and A.A. Johansen, Positivity constraints on anomalies in supersymmetric gauge theories 1998 Phys. Rev. D 57 7570 [hep-th/9711035]
29. S.S. Gubser, Einstein manifolds and conformal field theories 1999 Phys. Rev. D 59 025006 [hep-th/9807164]
30. S.S. Gubser and I.R. Klebanov, Baryons and domain walls in an N ≤ 1 superconformal gauge theory 1998 Phys. Rev. D 58 125025 [hep-th/9808075]
31. Fulton, Introduction to Toric Varieties (Princeton University Press)
32. D. Martelli and J. Sparks, Toric geometry, sasaki-einstein manifolds and a new infinite class of AdS/CFT duals [hep-th/0411238]
33. 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]
34. 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]