A tale of two cascades: Higgsing and Seiberg-duality cascades from type IIB string theory

Journal of High Energy Physics

Volumn 2012, Issue 2, 2012, Pages

  Conde, Eduardo ^a   Gaillard, Jérôme ^b   Núñez, Carlos ^c   Piai, Maurizio ^c   Ramallo, Alfonso V ^a  

^a Universidade de Santiago de Compostela   (Spain)

^b Wisconsin Electric Machines and Power Electronics Consortium   (United States)

^c SWANSEA UNIVERSITY   (United Kingdom)

Author keywords

AdS CFT correspondence; Duality in gauge field theories; Gauge gravity correspondence; Supersymmetry and duality

Indexed keywords

EID: 84857815611     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1007/JHEP02(2012)145     Document Type: Article

References (87)

1. K.G. Wilson, The Renormalization Group and Strong Interactions, Phys. Rev. D 3 (1971) 1818.
2. J.M. Maldacena, The Large-N limit of superconformal field theories and supergravity, Adv. Theor. Math. Phys. 2 (1998) 231 [Int. J. Theor. Phys. 38 (1999) 1133] [hep-th/9711200].
3. S. Gubser, I.R. Klebanov and A.M. Polyakov, Gauge theory correlators from noncritical string theory, Phys. Lett. B 428 (1998) 105 [hep-th/9802109].
4. E. Witten, Anti-de Sitter space and holography, Adv. Theor. Math. Phys. 2 (1998) 253 [hep-th/9802150].
5. N. Itzhaki, J.M. Maldacena, J. Sonnenschein and S. Yankielowicz, Supergravity and the large-N limit of theories with sixteen supercharges, Phys. Rev. D 58 (1998) 046004 [hep-th/9802042].
6. J. Polchinski and M.J. Strassler, The String dual of a confining four-dimensional gauge theory, hep-th/0003136.
7. K. Pilch and N.P. Warner, N=1 supersymmetric renormalization group flows from IIB supergravity, Adv. Theor. Math. Phys. 4 (2002) 627 [hep-th/0006066].
8. I.R. Klebanov and E. Witten, Superconformal field theory on three-branes at a Calabi-Yau singularity, Nucl. Phys. B 536 (1998) 199 [hep-th/9807080].
9. I.R. Klebanov and A.A. Tseytlin, Gravity duals of supersymmetric SU(N) x SU(N+M) gauge theories, Nucl. Phys. B 578 (2000) 123 [hep-th/0002159].
10. I.R. Klebanov and M.J. Strassler, Supergravity and a confining gauge theory: Duality cascades and chi SB resolution of naked singularities, JHEP 08 (2000) 052 [hep-th/0007191].
11. A. Dymarsky, I.R. Klebanov and N. Seiberg, On the moduli space of the cascading SU(M+p) x SU(P) gauge theory, JHEP 01 (2006) 155 [hep-th/0511254].
12. O. Aharony, A. Buchel and A. Yarom, Short distance properties of cascading gauge theories, JHEP 11 (2006) 069 [hep-th/0608209].
13. O. Aharony, A. Buchel and A. Yarom, Holographic renormalization of cascading gauge theories, Phys. Rev. D 72 (2005) 066003 [hep-th/0506002].
14. E. Witten, Anti-de Sitter space, thermal phase transition and confinement in gauge theories, Adv. Theor. Math. Phys. 2 (1998) 505 [hep-th/9803131].
15. J.M. Maldacena and C. Núñez, Towards the large-N limit of pure N = 1 super Yang-Mills, Phys. Rev. Lett. 86 (2001) 588 [hep-th/0008001].
16. R. Andrews and N. Dorey, Deconstruction of the Maldacena- Núñez compactification, Nucl. Phys. B 751 (2006) 304 [hep-th/0601098].
17. R. Andrews and N. Dorey, Spherical deconstruction, Phys. Lett. B 631 (2005) 74 [hep-th/0505107].
18. F. Bigazzi, A. Cotrone, M. Petrini and A. Zaffaroni, Supergravity duals of supersymmetric four-dimensional gauge theories, Riv. Nuovo Cim. 25N12 (2002) 1 [hep-th/0303191].
19. M. Bertolini, Four lectures on the gauge/gravity correspondence, Int. J. Mod. Phys. A 18 (2003) 5647 [hep-th/0303160]. Lectures given at SISSA/ISAS Trieste, Dec 17-20,2002.
20. S.S. Gubser, C.P. Herzog and I.R. Klebanov, Variations on the warped deformed conifold, Comptes Rendus Physique 5 (2004) 1031 [hep-th/0409186].
21. C.P. Herzog, I.R. Klebanov and P. Ouyang, D-branes on the conifold and N = 1 gauge/gravity dualities, hep-th/0205100.
22. O. Aharony, The NonAdS/nonCFT correspondence, or three different paths to QCD, hep-th/0212193.
23. J.D. Edelstein and R. Portugues, Gauge/string duality in confining theories, Fortsch. Phys. 54 (2006) 525 [hep-th/0602021].
24. J. Erdmenger, N. Evans, I. Kirsch and E. Threlfall, Mesons in Gauge/Gravity Duals - A Review, Eur. Phys. J. A 35 (2008) 81 [arXiv:0711.4467].
25. C. Núñez, A. Paredes and A.V. Ramallo, Unquenched Flavor in the Gauge/Gravity Correspondence, Adv. High Energy Phys. 2010 (2010) 196714 [arXiv:1002.1088].
26. F. Bigazzi, A.L. Cotrone, J. Mas, D. Mayerson and J. Tarrio, Holographic Duals of Quark Gluon Plasmas with Unquenched Flavors, arXiv:1110.1744.
27. J. Maldacena and D. Martelli, The Unwarped, resolved, deformed conifold: Fivebranes and the baryonic branch of the Klebanov-Strassler theory, JHEP 01 (2010) 104 [arXiv:0906.0591].
28. D. Elander, J. Gaillard, C. Núñez and M. Piai, Towards multi-scale dynamics on the baryonic branch of Klebanov-Strassler, JHEP 07 (2011) 056 [arXiv:1104.3963].
29. J. Gaillard, D. Martelli, C. Núñez and I. Papadimitriou, The warped, resolved, deformed conifold gets flavoured, Nucl. Phys. B 843 (2011) 1 [arXiv:1004.4638].
30. R. Minasian, M. Petrini and A. Zaffaroni, New families of interpolating type IIB backgrounds, JHEP 04 (2010) 080 [arXiv:0907.5147].
31. N. Halmagyi, Missing Mirrors: Type IIA Supergravity on the Resolved Conifold, arXiv:1003.2121.
32. E. Caceres, C. Núñez and L.A. Pando-Zayas, Heating up the Baryonic Branch with U-duality: A Unified picture of conifold black holes, JHEP 03 (2011) 054 [arXiv:1101.4123].
33. S. Bennett, E. Caceres, C. Núñez, D. Schofield and S. Young, The non-SUSY Baryonic Branch: Soft Supersymmetry Breaking of N = 1 Gauge Theories, arXiv:1111.1727.
34. A. Butti, M. Graña, R. Minasian, M. Petrini and A. Zaffaroni, The Baryonic branch of Klebanov-Strassler solution: A supersymmetric family of SU(3) structure backgrounds, JHEP 03 (2005) 069 [hep-th/0412187].
35. O. Aharony, A Note on the holographic interpretation of string theory backgrounds with varying flux, JHEP 03 (2001) 012 [hep-th/0101013].
36. E. Conde, J. Gaillard, C. Nunez, M. Piai and A.V. Ramallo, Towards the String Dual of Tumbling and Cascading Gauge Theories, arXiv:1112.3346, to appear in Phys Lett. B (2012).
37. R. Casero, C. Núñez and A. Paredes, Towards the string dual of N = 1 SQCD-like theories, Phys. Rev. D 73 (2006) 086005 [hep-th/0602027].
38. C. Hoyos-Badajoz, C. Núñez and I. Papadimitriou, Comments on the String dual to N = 1 SQCD, Phys. Rev. D 78 (2008) 086005 [arXiv:0807.3039].
39. R. Casero, C. Núñez and A. Paredes, Elaborations on the String Dual to N = 1 SQCD, Phys. Rev. D 77 (2008) 046003 [arXiv:0709.3421].
40. A.H. Chamseddine and M.S. Volkov, NonAbelian BPS monopoles in N = 4 gauged supergravity, Phys. Rev. Lett. 79 (1997) 3343 [hep-th/9707176].
41. L. Martucci and P. Smyth, Supersymmetric D-branes and calibrations on general N = 1 backgrounds, JHEP 11 (2005) 048 [hep-th/0507099].
42. F. Bigazzi, R. Casero, A. Cotrone, E. Kiritsis and A. Paredes, Non-critical holography and four-dimensional CFT's with fundamentals, JHEP 10 (2005) 012 [hep-th/0505140].
43. S. Bennett, Wilson loops in warped resolved deformed conifolds, Annals Phys. 326 (2011) 2934 [arXiv:1102.5731].
44. E. Conde, J. Gaillard and A.V. Ramallo, On the holographic dual of N = 1 SQCD with massive flavors, JHEP 10 (2011) 023 [arXiv:1107.3803].
45. F. Benini, F. Canoura, S. Cremonesi, C. Núñez and A.V. Ramallo, Unquenched flavors in the Klebanov-Witten model, JHEP 02 (2007) 090 [hep-th/0612118].
46. F. Benini, F. Canoura, S. Cremonesi, C. Núñez and A.V. Ramallo, Backreacting flavors in the Klebanov-Strassler background, JHEP 09 (2007) 109 [arXiv:0706.1238].
47. F. Bigazzi, A.L. Cotrone, A. Paredes and A.V. Ramallo, The Klebanov-Strassler model with massive dynamical flavors, JHEP 03 (2009) 153 [arXiv:0812.3399].
48. f massive flavors from AdS/CFT and β-functions, JHEP 09 (2011) 086 [arXiv:1107.4002].
49. S.S. Gubser, C.P. Herzog and I.R. Klebanov, Symmetry breaking and axionic strings in the warped deformed conifold, JHEP 09 (2004) 036 [hep-th/0405282].
50. A. Dymarsky, On gravity dual of a metastable vacuum in Klebanov-Strassler theory, JHEP 05 (2011) 053 [arXiv:1102.1734].
51. L. Girardello, M. Petrini, M. Porrati and A. Zaffaroni, Novel local CFT and exact results on perturbations of N = 4 super Yang-Mills from AdS dynamics, JHEP 12 (1998) 022 [hep-th/9810126].
52. D. Freedman, S. Gubser, K. Pilch and N. Warner, Renormalization group flows from holography supersymmetry and a c theorem, Adv. Theor. Math. Phys. 3 (1999) 363 [hep-th/9904017].
53. I.R. Klebanov, D. Kutasov and A. Murugan, Entanglement as a probe of confinement, Nucl. Phys. B 796 (2008) 274 [arXiv:0709.2140].
54. N. Seiberg, Electric-magnetic duality in supersymmetric nonAbelian gauge theories, Nucl. Phys. B 435 (1995) 129 [hep-th/9411149].
55. M.J. Strassler, The Duality cascade, hep-th/0505153.
56. S. Dimopoulos and L. Susskind, Mass Without Scalars, Nucl. Phys. B 155 (1979) 237.
57. E. Eichten and K.D. Lane, Dynamical Breaking of Weak Interaction Symmetries, Phys. Lett. B 90 (1980) 125.
58. S. Weinberg, Implications of Dynamical Symmetry Breaking: An Addendum, Phys. Rev. D 19 (1979) 1277..
59. L. Susskind, Dynamics of Spontaneous Symmetry Breaking in the Weinberg-Salam Theory, Phys. Rev. D 20 (1979) 2619.
60. S. Weinberg, Implications of Dynamical Symmetry Breaking, Phys. Rev. D 13 (1976) 974.
61. B. Holdom, Techniodor, Phys. Lett. B 150 (1985) 301.
62. K. Yamawaki, M. Bando and K.-i. Matumoto, Scale Invariant Technicolor Model and a Technidilaton, Phys. Rev. Lett. 56 (1986) 1335.
63. T.W. Appelquist, D. Karabali and L. Wijewardhana, Chiral Hierarchies and the Flavor Changing Neutral Current Problem in Technicolor, Phys. Rev. Lett. 57 (1986) 957.
64. R. Chivukula, Lectures on technicolor and compositeness, hep-ph/0011264.
65. K. Lane, Two lectures on technicolor, hep-ph/0202255.
66. C.T. Hill and E.H. Simmons, Strong dynamics and electroweak symmetry breaking, Phys. Rept. 381 (2003) 235 [Erratum ibid. 390 (2004) 553] [hep-ph/0203079].
67. A. Martin, Technicolor Signals at the LHC, arXiv:0812.1841.
68. F. Sannino, Conformal Dynamics for TeV Physics and Cosmology, Acta Phys. Polon. B 40 (2009) 3533 [arXiv:0911.0931].
69. M. Piai, Lectures on walking technicolor, holography and gauge/gravity dualities, Adv. High Energy Phys. 2010 (2010) 464302 [arXiv:1004.0176].
70. T. Appelquist and R. Shrock, Neutrino masses in theories with dynamical electroweak symmetry breaking, Phys. Lett. B 548 (2002) 204 [hep-ph/0204141].
71. T. Appelquist and R. Shrock, Dynamical symmetry breaking of extended gauge symmetries, Phys. Rev. Lett. 90 (2003) 201801 [hep-ph/0301108]. 4 pages
72. latex Journal-ref: Phys. Rev. Lett. 90, 201801 (2003).
73. T. Appelquist, M. Piai and R. Shrock, Fermion masses and mixing in extended technicolor models, Phys. Rev. D 69 (2004) 015002 [hep-ph/0308061].
74. T. Appelquist, M. Piai and R. Shrock, Lepton dipole moments in extended technicolor models, Phys. Lett. B 593 (2004) 175 [hep-ph/0401114].
75. T. Appelquist, M. Piai and R. Shrock, Quark dipole operators in extended technicolor models, Phys. Lett. B 595 (2004) 442 [hep-ph/0406032].
76. T. Appelquist, N.D. Christensen, M. Piai and R. Shrock, Flavor-changing processes in extended technicolor, Phys. Rev. D 70 (2004) 093010 [hep-ph/0409035].
77. P. Sikivie, L. Susskind, M.B. Voloshin and V.I. Zakharov, Isospin Breaking in Technicolor Models, Nucl. Phys. B 173 (1980) 189.
78. T. Appelquist and J. Terning, An Extended technicolor model, Phys. Rev. D 50 (1994) 2116 [hep-ph/9311320].
79. T. Appelquist and F. Sannino, The Physical spectrum of conformal SU(N) gauge theories, Phys. Rev. D 59 (1999) 067702 [hep-ph/9806409].
80. T. Appelquist and L. Wijewardhana, Chiral Hierarchies from Slowly Running Couplings in Technicolor Theories, Phys. Rev. D 36 (1987) 568.
81. D. Elander, C. Núñez and M. Piai, A Light scalar from walking solutions in gauge-string duality, Phys. Lett. B 686 (2010) 64 [arXiv:0908.2808].
82. C. Núñez, M. Piai and A. Rago, Wilson Loops in string duals of Walking and Flavored Systems, Phys. Rev. D 81 (2010) 086001 [arXiv:0909.0748].
83. J. Alanen, T. Alho, K. Kajantie and K. Tuominen, Mass spectrum and thermodynamics of quasi-conformal gauge theories from gauge/gravity duality, Phys. Rev. D 84 (2011) 086007 [arXiv:1107.3362].
84. L. Anguelova, P. Suranyi and L. Wijewardhana, Holographic Walking Technicolor from D-branes, Nucl. Phys. B 852 (2011) 39 [arXiv:1105.4185].
85. D. Elander and M. Piai, Light scalars from a compact fifth dimension, JHEP 01 (2011) 026 [arXiv:1010.1964].
86. L. Anguelova, Electroweak Symmetry Breaking from Gauge/Gravity Duality, Nucl. Phys. B 843 (2011) 429 [arXiv:1006.3570].
87. R. Alvares, N. Evans, A. Gebauer and G.J. Weatherill, Holographic integral equations and walking technicolour, Phys. Rev. D 81 (2010) 025013 [arXiv:0910.3073].