E3-brane instantons and baryonic operators for D3-branes on toric singularities

Journal of High Energy Physics

Volumn 2009, Issue 3, 2009, Pages

  Forcella, Davide ^a,b   García Etxebarria, Ĩaki ^b,c   Uranga, Angel ^b,c  

^a SEZIONE DI TRIESTE   (Italy)

^b CERN   (Switzerland)

^c UNIVERSIDAD AUTÓNOMA DE MADRID   (Spain)

Author keywords

1 N expansion; AdS CFT correspondence; Brane dynamics in gauge theories; Solitons monopoles and instantons

Indexed keywords

EID: 67649559539     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2009/03/041     Document Type: Article

References (81)

1. S. Kachru and E. Silverstein, 1998 4 D conformal theories and strings on orbifolds, Phys. Rev. Lett. 80 4855 [hep-th/9802183]
2. I.R. Klebanov and E. Witten, 1998 Superconformal field theory on threebranes at a Calabi-Yau singularity, Nucl. Phys. B 536 199 [hep-th/9807080]
3. D.R. Morrison and M.R. Plesser, 1999 Non-spherical horizons. I, Adv. Theor. Math. Phys. 3 1 [hep-th/9810201]
4. M. Bertolini, F. Bigazzi and A.L. Cotrone, 2004 New checks and subtleties for AdS/CFT and a-maximization, J. High Energy Phys. JHEP12(2004)024 [hep-th/0411249]
5. S. Benvenuti, S. Franco, A. Hanany, D. Martelli and J. Sparks, 2005 An infinite family of superconformal quiver gauge theories with Sasaki-Einstein duals, J. High Energy Phys. JHEP06(2005)064 [hep-th/0411264]
6. D. Martelli and J. Sparks, 2006 Toric geometry, Sasaki-Einstein manifolds and a new infinite class of AdS/CFT duals, Commun. Math. Phys. 262 51 [hep-th/0411238]
7. D. Martelli, J. Sparks and S.-T. Yau, 2006 The geometric dual of a-maximisation for toric Sasaki-Einstein manifolds, Commun. Math. Phys. 268 39 [hep-th/0503183]
8. pq|r, J. High Energy Phys. JHEP04(2006)033 [hep-th/0505206]
9. A. Butti, D. Forcella and A. Zaffaroni, 2005 The dual superconformal theory for L(p,q,r) manifolds, J. High Energy Phys. JHEP09(2005)018 [hep-th/0505220]
10. S. Franco, A. Hanany, D. Martelli, J. Sparks, D. Vegh and B. Wecht, 2006 Gauge theories from toric geometry and brane tilings, J. High Energy Phys. JHEP01(2006)128 [hep-th/0505211]
11. A. Butti and A. Zaffaroni, 2005 R-charges from toric diagrams and the equivalence of a-maximization and Z-minimization, J. High Energy Phys. JHEP11(2005)019 [hep-th/0506232]
12. I.R. Klebanov and M.J. Strassler, 2000 Supergravity and a confining gauge theory: duality cascades and χ SB-resolution of naked singularities, J. High Energy Phys. JHEP08(2000)052 [hep-th/0007191]
13. S. Franco, Y.-H. He, C. Herzog and J. Walcher, 2004 Chaotic duality in string theory, Phys. Rev. D 70 046006 [hep-th/0402120]
14. S. Franco, A. Hanany, F. Saad and A.M. Uranga, 2006 Fractional branes and dynamical supersymmetry breaking, J. High Energy Phys. JHEP01(2006)011 [hep-th/0505040]
15. D. Berenstein, C.P. Herzog, P. Ouyang and S. Pinansky, 2005 Supersymmetry breaking from a Calabi-Yau singularity, J. High Energy Phys. JHEP09(2005)084 [hep-th/0505029]
16. M. Bertolini, F. Bigazzi and A.L. Cotrone, 2005 Supersymmetry breaking at the end of a cascade of Seiberg dualities, Phys. Rev. D 72 061902 [hep-th/0505055]
17. A. Brini and D. Forcella, 2006 Comments on the non-conformal gauge theories dual to Y(p,q) manifolds, J. High Energy Phys. JHEP06(2006)050 [hep-th/0603245]
18. A. Hanany and K.D. Kennaway, Dimer models and toric diagrams, [hep-th/0503149]
19. S. Franco, A. Hanany, K.D. Kennaway, D. Vegh and B. Wecht, 2006 Brane Dimers and quiver gauge theories, J. High Energy Phys. JHEP01(2006)096 [hep-th/0504110]
20. A. Hanany and D. Vegh, 2007 Quivers, tilings, branes and rhombi, J. High Energy Phys. JHEP10(2007)029 [hep-th/0511063]
21. B. Feng, Y.-H. He, K.D. Kennaway and C. Vafa, 2008 Dimer models from mirror symmetry and quivering amoebae, Adv. Theor. Math. Phys. 12 3 [hep-th/0511287]
22. K.D. Kennaway, 2007 Brane tilings, Int. J. Mod. Phys. A 22 2977 [0706.1660]
23. M. Yamazaki, 2008 Brane tilings and their applications, Fortsch. Phys. 56 555 [0803.4474]
24. J. Kinney, J.M. Maldacena, S. Minwalla and S. Raju, 2007 An index for 4 dimensional super conformal theories, Commun. Math. Phys. 275 209 [hep-th/0510251]
25. I. Biswas, D. Gaiotto, S. Lahiri and S. Minwalla, 2007 Supersymmetric states of N=4 Yang-Mills from giant gravitons, J. High Energy Phys. JHEP12(2007)006 [hep-th/0606087]
26. D. Martelli, J. Sparks and S.-T. Yau, 2008 Sasaki-Einstein manifolds and volume minimisation, Commun. Math. Phys. 280 611 [hep-th/0603021]
27. S. Benvenuti, B. Feng, A. Hanany and Y.-H. He, 2007 Counting BPS operators in gauge theories: quivers, syzygies and plethystics, J. High Energy Phys. JHEP11(2007)050 [hep-th/0608050]
28. D. Martelli and J. Sparks, 2006 Dual giant gravitons in Sasaki-Einstein backgrounds, Nucl. Phys. B 759 292 [hep-th/0608060]
29. C.P. Herzog and J. Walcher, 2003 Dibaryons from exceptional collections, J. High Energy Phys. JHEP09(2003)060 [hep-th/0306298]
30. A. Butti, D. Forcella and A. Zaffaroni, 2007 Counting BPS baryonic operators in CFTs with Sasaki-Einstein duals, J. High Energy Phys. JHEP06(2007)069 [hep-th/0611229]
31. A. Hanany and C. Romelsberger, 2007 Counting BPS operators in the chiral ring of N=2 supersymmetric gauge theories or N=2 braine surgery, Adv. Theor. Math. Phys. 11 1091 [hep-th/0611346]
32. B. Feng, A. Hanany and Y.-H. He, 2007 Counting gauge invariants: the plethystic program, J. High Energy Phys. JHEP03(2007)090 [hep-th/0701063]
33. D. Forcella, A. Hanany and A. Zaffaroni, 2007 Baryonic generating functions, J. High Energy Phys. JHEP12(2007)022 [hep-th/0701236]
34. A. Butti, D. Forcella, A. Hanany, D. Vegh and A. Zaffaroni, 2007 Counting chiral operators in quiver gauge theories, J. High Energy Phys. JHEP11(2007)092 [0705.2771]
35. D. Forcella, BPS partition functions for quiver gauge theories: counting fermionic operators, [0705.2989]
36. D. Forcella, A. Hanany, Y.-H. He and A. Zaffaroni, 2008 The master space of N=1 gauge theories, J. High Energy Phys. JHEP08(2008)012 [0801.1585]
37. D. Forcella, A. Hanany, Y.-H. He and A. Zaffaroni, 2008 Mastering the master space, Lett. Math. Phys. 85 163 [0801.3477]
38. E. Witten, 1998 Anti-de Sitter space and holography, Adv. Theor. Math. Phys. 2 253 [hep-th/9802150]
39. C.E. Beasley, 2002 BPS branes from baryons, J. High Energy Phys. JHEP11(2002)015 [hep-th/0207125]
40. J. McGreevy, L. Susskind and N. Toumbas, 2000 Invasion of the giant gravitons from anti-de Sitter space, J. High Energy Phys. JHEP06(2000)008 [hep-th/0003075]
41. S. Gukov, M. Rangamani and E. Witten, 1998 Dibaryons, strings and branes in AdS orbifold models, J. High Energy Phys. JHEP12(1998)025 [hep-th/9811048]
42. S.S. Gubser and I.R. Klebanov, 1998 Baryons and domain walls in an N=1 superconformal gauge theory, Phys. Rev. D 58 125025 [hep-th/9808075]
43. D. Berenstein, C.P. Herzog and I.R. Klebanov, 2002 Baryon spectra and AdS/CFT correspondence, J. High Energy Phys. JHEP06(2002)047 [hep-th/0202150]
44. K.A. Intriligator and B. Wecht, 2004 Baryon charges in 4 D superconformal field theories and their AdS duals, Commun. Math. Phys. 245 407 [hep-th/0305046]
45. A. Mikhailov, 2000 Giant gravitons from holomorphic surfaces, J. High Energy Phys. JHEP11(2000)027 [hep-th/0010206]
46. I.R. Klebanov and A. Murugan, 2007 Gauge/gravity duality and warped resolved conifold, J. High Energy Phys. JHEP03(2007)042 [hep-th/0701064]
47. D. Martelli and J. Sparks, Symmetry-breaking vacua and baryon condensates in AdS/CFT, [0804.3999]
48. I.R. Klebanov and E. Witten, 1999 AdS/CFT correspondence and symmetry breaking, Nucl. Phys. B 556 89 [hep-th/9905104]
49. G.S. Adkins, C.R. Nappi and E. Witten, 1983 Static properties of nucleons in the Skyrme model, Nucl. Phys. B 228 552
50. H. Hata, T. Sakai, S. Sugimoto and S. Yamato, Baryons from instantons in holographic QCD, [hep-th/0701280]
51. K. Becker, M. Becker and A. Strominger, 1995 Five-branes, membranes and nonperturbative string theory, Nucl. Phys. B 456 130 [hep-th/9507158]
52. E. Witten, 1996 Non-perturbative superpotentials in string theory, Nucl. Phys. B 474 343 [hep-th/9604030]
53. J.A. Harvey and G.W. Moore, Superpotentials and membrane instantons, [hep-th/9907026]
54. E. Witten, 2000 World-sheet corrections via D-instantons, J. High Energy Phys. JHEP02(2000)030 [hep-th/9907041]
55. R. Blumenhagen, M. Cveti and T. Weigand, 2007 Spacetime instanton corrections in 4 D string vacua - the seesaw mechanism for D-brane models, Nucl. Phys. B 771 113 [hep-th/0609191]
56. L.E. Ib̃ez and A.M. Uranga, 2007 Neutrino Majorana masses from string theory instanton effects, J. High Energy Phys. JHEP03(2007)052 [hep-th/0609213]
57. B. Florea, S. Kachru, J. McGreevy and N. Saulina, 2007 Stringy instantons and quiver gauge theories, J. High Energy Phys. JHEP05(2007)024 [hep-th/0610003]
58. O. Aharony and S. Kachru, 2007 Stringy instantons and cascading quivers, J. High Energy Phys. JHEP09(2007)060 [0707.3126]
59. R. Argurio, G. Ferretti and C. Petersson, 2008 Instantons and toric quiver gauge theories, J. High Energy Phys. JHEP07(2008)123 [0803.2041]
60. D. Krefl, 2008 A gauge theory analog of some 'stringy' D-instantons, Phys. Rev. D 78 066004 [0803.2829]
61. L.E. Ib̃ez and A.M. Uranga, 2008 Instanton induced open string superpotentials and branes at singularities, J. High Energy Phys. JHEP02(2008)103 [0711.1316]
62. C. Beasley and E. Witten, 2005 New instanton effects in supersymmetric QCD, J. High Energy Phys. JHEP01(2005)056 [hep-th/0409149]
63. C. Beasley and E. Witten, 2006 New instanton effects in string theory, J. High Energy Phys. JHEP02(2006)060 [hep-th/0512039]
64. I. Garcia-Etxebarria, F. Marchesano and A.M. Uranga, 2008 Non-perturbative F-terms across lines of BPS stability, J. High Energy Phys. JHEP07(2008)028 [0805.0713]
65. R. Blumenhagen, M. Cveti, R. Richter and T. Weigand, 2007 Lifting D-instanton zero modes by recombination and background fluxes, J. High Energy Phys. JHEP10(2007)098 [0708.0403]
66. I. Garcia-Etxebarria and A.M. Uranga, 2008 Non-perturbative superpotentials across lines of marginal stability, J. High Energy Phys. JHEP01(2008)033 [0711.1430]
67. R. Blumenhagen and M. Schmidt-Sommerfeld, 2008 Power towers of string instantons for N=1 vacua, J. High Energy Phys. JHEP07(2008)027 [0803.1562]
68. M. Cveti, R. Richter and T. Weigand, 2008 (Non-)BPS bound states and D-brane instantons, J. High Energy Phys. JHEP07(2008)012 [0803.2513]
69. S. Franco and A.M. Uranga, 2006 Dynamical SUSY breaking at meta-stable minima from D-branes at obstructed geometries, J. High Energy Phys. JHEP06(2006)031 [hep-th/0604136]
70. O.J. Ganor, 1997 A note on zeroes of superpotentials in F-theory, Nucl. Phys. B 499 55 [hep-th/9612077]
71. D. Baumann, A. Dymarsky, I. R. Klebanov, J.M. Maldacena, L.P. McAllister and A. Murugan, 2006 On D3-brane potentials in compactifications with fluxes and wrapped D-branes, J. High Energy Phys. JHEP11(2006)031 [hep-th/0607050]
72. M. Berg, M. Haack and B. Körs, 2005 Loop corrections to volume moduli and inflation in string theory, Phys. Rev. D 71 026005 [hep-th/0404087]
73. Y. Imamura, K. Kimura and M. Yamazaki, 2008 Anomalies and O-plane charges in orientifolded brane tilings, J. High Energy Phys. JHEP03(2008)058 [0801.3528]
74. O. Aharony and A. Hanany, 1997 Branes, superpotentials and superconformal fixed points, Nucl. Phys. B 504 239 [hep-th/9704170]
75. O. Aharony, A. Hanany and B. Kol, 1998 Webs of (p,q) 5-branes, five dimensional field theories and grid diagrams, J. High Energy Phys. JHEP01(1998)002 [hep-th/9710116]
76. N.C. Leung and C. Vafa, 1998 Branes and toric geometry, Adv. Theor. Math. Phys. 2 91 [hep-th/9711013]
77. J.H. Brodie, 1998 Fractional branes, confinement and dynamically generated superpotentials, Nucl. Phys. B 532 137 [hep-th/9803140]
78. M. Buican and S. Franco, 2008 SUSY breaking mediation by D-brane instantons, J. High Energy Phys. JHEP12(2008)030 [0806.1964]
79. R. Kenyon, An introduction to the dimer model, [math.CO/0310326]
80. R. Kenyon and J.-M. Schlenker, Rhombic embeddings of planar graphs with faces of degree 4' [math.PH/0305057]
81. I. Garcia-Etxebarria, F. Saad and A.M. Uranga, 2006 Quiver gauge theories at resolved and deformed singularities using dimers, J. High Energy Phys. JHEP06(2006)055 [hep-th/0603108]