Thermodynamics of theories with sixteen supercharges in non-trivial vacua

Journal of High Energy Physics

Volumn 2007, Issue 10, 2007, Pages

  Grignani, Gianluca ^a   Griguolo, Luca ^b   Mori, Nicola ^c   Seminara, Domenico ^c  

^a UNIVERSITY OF PERUGIA   (Italy)

^b UNIVERSITY OF PARMA   (Italy)

^c UNIVERSITY OF FLORENCE   (Italy)

Author keywords

1 N expansion; AdS CFT correspondence; Confinement; Gauge gravity correspondence

Indexed keywords

EID: 35748950402     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2007/10/068     Document Type: Article

References (62)

1. J.M. Maldacena, The large-N limit of superconformal field theories and supergravity 1998 Adv. Theor. Math. Phys. 2 231 [1999 Int. J. Theor. Phys. 38 1113 ] [hep-th/9711200]
2. S.S. Gubser, I.R. Klebanov and A.M. Polyakov, Gauge theory correlators from non-critical string theory 1998 Phys. Lett. B 428 105 [hep-th/9802109]
3. E. Witten, Anti-de Sitter space and holography 1998 Adv. Theor. Math. Phys. 2 253 [hep-th/9802150]
4. N. Itzhaki, J.M. Maldacena, J. Sonnenschein and S. Yankielowicz, Supergravity and the large-N limit of theories with sixteen supercharges 1998 Phys. Rev. D 58 046004 [hep-th/9802042]
5. H. Lin and J.M. Maldacena, Fivebranes from gauge theory 2006 Phys. Rev. D 74 084014 [hep-th/0509235]
6. H. Lin, O. Lunin and J.M. Maldacena, Bubbling AdS space and 1/2 BPS geometries 2004 J. High Energy Phys. JHEP10(2004)025 [hep-th/0409174]
7. J.M. Maldacena, M.M. Sheikh-Jabbari and M. Van Raamsdonk, Transverse fivebranes in matrix theory 2003 J. High Energy Phys. JHEP01(2003)038 [hep-th/0211139]
8. B. Sundborg, The Hagedorn transition, deconfinement and N = 4 SYM theory 2000 Nucl. Phys. B 573 349 [hep-th/9908001]
9. O. Aharony, J. Marsano, S. Minwalla, K. Papadodimas and M. Van Raamsdonk, The Hagedorn/deconfinement phase transition in weakly coupled large-N gauge theories 2004 Adv. Theor. Math. Phys. 8 603 [hep-th/0310285]
10. 3 2005 Nucl. Phys. B 711 199 [hep-th/0408178]
11. 3 2003 Nucl. Phys. B 671 359 [hep-th/0306054]
12. K. Furuuchi, E. Schreiber and G.W. Semenoff, Five-brane thermodynamics from the matrix model [hep-th/0310286]
13. S. Hadizadeh, B. Ramadanovic, G.W. Semenoff and D. Young, Free energy and phase transition of the matrix model on a plane-wave 2005 Phys. Rev. D 71 065016 [hep-th/0409318]
14. 3 2005 Phys. Rev. D 71 125018 [hep-th/0502149]
15. S.W. Hawking and D.N. Page, Thermodynamics of black holes in anti-de Sitter space 1983 Comm. Math. Phys. 87 577
16. E. Witten, Anti-de Sitter space, thermal phase transition and confinement in gauge theories 1998 Adv. Theor. Math. Phys. 2 505 [hep-th/9803131]
17. O. Aharony, J. Marsano, S. Minwalla and T. Wiseman, Black hole-black string phase transitions in thermal 1+1 dimensional supersymmetric Yang-Mills theory on a circle 2004 Class. Quantum Grav. 21 5169 [hep-th/0406210]
18. O. Aharony et al., The phase structure of low dimensional large-N gauge theories on tori 2006 J. High Energy Phys. JHEP01(2006)140 [hep-th/0508077]
19. D. Yamada and L.G. Yaffe, Phase diagram of N = 4 super-Yang-Mills theory with R-symmetry chemical potentials 2006 J. High Energy Phys. JHEP09(2006)027 [hep-th/0602074]
20. 3 2006 Nucl. Phys. B 757 117 [hep-th/0605234]
21. 2 2007 J. High Energy Phys. JHEP04(2007)069 [hep-th/0612066]
22. T. Harmark and M. Orselli, Matching the Hagedorn temperature in AdS/CFT 2006 Phys. Rev. D 74 126009 [hep-th/0608115]
23. T. Harmark, K.R. Kristjansson and M. Orselli, Magnetic Heisenberg-chain / pp-wave correspondence 2007 J. High Energy Phys. JHEP02(2007)085 [hep-th/0611242]
24. 3 [0707.1621]
25. V. Borokhov, A. Kapustin and X.-k. Wu, Topological disorder operators in three-dimensional conformal field theory 2002 J. High Energy Phys. JHEP11(2002)049 [hep-th/0206054]
26. V. Borokhov, A. Kapustin and X.-k. Wu, Monopole operators and mirror symmetry in three dimensions 2002 J. High Energy Phys. JHEP12(2002)044 [hep-th/0207074]
27. R. Jackiw and C. Rebbi, Solitons with fermion number 1/2 1976 Phys. Rev. D 13 3398
28. F. Green and S. Samuel, Calculating the large N phase transition in gauge and matrix models 1982 Nucl. Phys. B 194 107
29. P in a lattice gauge model 1982 Phys. Lett. B 117 72
30. P.J. Forrester and N.S. Witte, Application of the τ-function theory of Painlevé equations to random matrices: PV, PIII, the LUE, JUE and CUE 2002 Commun. Pure Appl. Math. 55 679 [math-ph/0201051]
31. 3 and theories with 16 supercharges 2006 J. High Energy Phys. JHEP10(2006)007 [hep-th/0605163]
32. T. Ishii, G. Ishiki, S. Shimasaki and A. Tsuchiya, T-duality, fiber bundles and matrices 2007 J. High Energy Phys. JHEP05(2007)014 [hep-th/0703021]
33. M. Blau, Killing spinors and SYM on curved spaces 2000 J. High Energy Phys. JHEP11(2000)023 [hep-th/0005098]
34. S. Deser, L. Griguolo and D. Seminara, Gauge invariance, finite temperature and parity anomaly in D = 3 1997 Phys. Rev. Lett. 79 1976 [hep-th/9705052]
35. S. Deser, L. Griguolo and D. Seminara, Effective QED actions: representations, gauge invariance, anomalies and mass expansions 1998 Phys. Rev. D 57 7444 [hep-th/9712066]
36. D.J. Gross and E. Witten, Possible third order phase transition in the large N lattice gauge theory 1980 Phys. Rev. D 21 446
37. G. Grignani, G.W. Semenoff and P. Sodano, Confinement-deconfinement transition in three-dimensional QED 1996 Phys. Rev. D 53 7157 [hep-th/9504105]
38. G. Grignani, G.W. Semenoff, P. Sodano and O. Tirkkonen, Charge screening and confinement in the hot 3D-QED 1996 Nucl. Phys. B 473 143 [hep-th/9512048]
39. G. Grignani, G.W. Semenoff, P. Sodano and O. Tirkkonen, G/G models as the strong coupling limit of topologically massive gauge theory 1997 Nucl. Phys. B 489 360 [hep-th/9609228]
40. Y. Hikida, Phase transitions of large-N orbifold gauge theories 2006 J. High Energy Phys. JHEP12(2006)042 [hep-th/0610119]
41. P. van Nieuwenhuizen and N.P. Warner, Integrability conditions for Killing spinors 1984 Comm. Math. Phys. 93 277
42. M.F. Atiyah and R. Bott, The Yang-Mills equations over Riemann surfaces 1982 Phil. Trans. Roy. Soc. Lond. A 308 523
43. D.J. Gross and A. Matytsin, Instanton induced large-N phase transitions in two-dimensional and four-dimensional QCD 1994 Nucl. Phys. B 429 50 [hep-th/9404004]
44. H. Ling, A.R. Mohazab, H.-H. Shieh, G. van Anders and M. Van Raamsdonk, Little string theory from a double-scaled matrix model 2006 J. High Energy Phys. JHEP10(2006)018 [hep-th/0606014]
45. H. Ling, H.-H. Shieh and G. van Anders, Little string theory from double-scaling limits of field theories 2007 J. High Energy Phys. JHEP02(2007)031 [hep-th/0611019]
46. H. Lin, Instantons, supersymmetric vacua and emergent geometries 2006 Phys. Rev. D 74 125013 [hep-th/0609186]
47. G. van Anders, General Lin-Maldacena solutions and PWMM instantons from supergravity 2007 J. High Energy Phys. JHEP03(2007)028 [hep-th/0701277]
48. Y. Hikida and N. Iizuka, Closed string tachyons on AdS orbifolds and dual Yang-Mills instantons [0706.2742]
49. L. Alvarez-Gaume, S. Della Pietra and G.W. Moore, Anomalies and odd dimensions 1985 Ann. Phys. (NY) 163 288
50. T. Harmark and N.A. Obers, Thermodynamics of spinning branes and their dual field theories 2000 J. High Energy Phys. JHEP01(2000)008 [hep-th/9910036]
51. R.M. Gray, Toeplitz and circulant matrices: a review 2006 Found. Trends Comm. Inf. Theor. 2 155
52. P. Rossi, M. Campostrini and E. Vicari, The large-N expansion of unitary-matrix models 1998 Phys. Rep. 302 143 [hep-lat/9609003]
53. 5 and critical unitary matrix models 2006 Eur. Phys. J. C 48 647 [hep-th/0605041]
54. J. Distler and C. Vafa, A critical matrix model at c = 1 1991 Mod. Phys. Lett. A 6 259
55. J. Ambjørn, C.F. Kristjansen and Y. Makeenko, Generalized Penner models to all genera 1994 Phys. Rev. D 50 5193 [hep-th/9403024]
56. T. Hollowood, S.P. Kumar and A. Naqvi, Instabilities of the small black hole: a view from N = 4 SYM 2007 J. High Energy Phys. JHEP01(2007)001 [hep-th/0607111]
57. U. Gursoy, S.A. Hartnoll, T.J. Hollowood and S.P. Kumar, Topology change and new phases in thermal N = 4 SYM theory [hep-th/0703100]
58. J.K. Erickson, G.W. Semenoff and K. Zarembo, Wilson loops in N = 4 supersymmetric Yang-Mills theory 2000 Nucl. Phys. B 582 155 [hep-th/0003055]
59. N. Drukker and D.J. Gross, An exact prediction of N = 4 SUSYM theory for string theory 2001 J. Math. Phys. 42 2896 [hep-th/0010274]
60. T.T. Wu and C.N. Yang, Dirac monopole without strings: monopole harmonics 1976 Nucl. Phys. B 107 365
61. E.J. Weinberg, Monopole vector spherical harmonics 1994 Phys. Rev. D 49 1086 [hep-th/9308054]
62. G. Ishiki, S. Shimasaki, Y. Takayama and A. Tsuchiya, Embedding of theories with SU(2|4) symmetry into the plane wave matrix model, 2006 J. High Energy Phys. JHEP11(2006)089 [hep-th/0610038]