Advertisement

Scattering amplitudes in three-dimensional superconformal field theory

  • Marco S. BianchiEmail author
Review
  • 83 Downloads

Abstract

Recent progress in computation of loop amplitudes in three-dimensional superconformal models is reviewed.

Keywords

Gauge Group Wilson Loop ABJM Theory Tree Level Amplitude Cusp Anomalous Dimension 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

References

  1. 1.
    G.P. Korchemsky, J.M. Drummond, E. Sokatchev, Nucl. Phys. B 795, 385 (2008) arXiv:0707.0243 [hep-th].MathSciNetADSCrossRefzbMATHGoogle Scholar
  2. 2.
    A. Brandhuber, P. Heslop, G. Travaglini, Nucl. Phys. B 794, 231 (2008) arXiv:0707.1153 [hep-th].MathSciNetADSCrossRefzbMATHGoogle Scholar
  3. 3.
    J.M. Drummond, J. Henn, G.P. Korchemsky, E. Sokatchev, Nucl. Phys. B 795, 52 (2008) arXiv:0709.2368 [hep-th].MathSciNetADSCrossRefzbMATHGoogle Scholar
  4. 4.
    J.M. Drummond, J. Henn, G.P. Korchemsky, E. Sokatchev, Nucl. Phys. B 828, 317 (2010) arXiv:0807.1095 [hep-th].MathSciNetADSCrossRefzbMATHGoogle Scholar
  5. 5.
    A. Brandhuber, P. Heslop, G. Travaglini, Phys. Rev. D 78, 125005 (2008) arXiv:0807.4097 [hep-th].MathSciNetADSCrossRefGoogle Scholar
  6. 6.
    L.F. Alday, J.M. Maldacena, JHEP 06, 064 (2007) arXiv:0705.0303 [hep-th].MathSciNetADSCrossRefGoogle Scholar
  7. 7.
    J.M. Drummond, J.M. Henn, J. Plefka, JHEP 05, 046 (2009) arXiv:0902.2987 [hep-th].MathSciNetADSCrossRefGoogle Scholar
  8. 8.
    N. Arkani-Hamed, F. Cachazo, C. Cheung, J. Kaplan, JHEP 03, 020 (2010) arXiv:0907.5418 [hep-th].MathSciNetADSCrossRefGoogle Scholar
  9. 9.
    N. Arkani-Hamed, J.L. Bourjaily, F. Cachazo, S. Caron-Huot, J. Trnka, JHEP 01, 041 (2011) arXiv:1008.2958 [hep-th].MathSciNetADSCrossRefGoogle Scholar
  10. 10.
    O. Aharony, O. Bergman, D.L. Jafferis, J. Maldacena, JHEP 10, 091 (2008) arXiv:0806.1218 [hep-th].MathSciNetADSCrossRefGoogle Scholar
  11. 11.
    J.M. Maldacena, Adv. Theor. Math. Phys. 2, 231 (1998) hep-th/9711200.MathSciNetADSzbMATHGoogle Scholar
  12. 12.
    M. Benna, I. Klebanov, T. Klose, M. Smedback, JHEP 09, 072 (2008) arXiv:0806.1519 [hep-th].MathSciNetADSCrossRefGoogle Scholar
  13. 13.
    B.E.W. Nilsson, C.N. Pope, Class. Quantum Grav. 1, 499 (1984).MathSciNetADSCrossRefGoogle Scholar
  14. 14.
    O. Aharony, O. Bergman, D.L. Jafferis, JHEP 11, 043 (2008) arXiv:0807.4924 [hep-th].MathSciNetADSCrossRefGoogle Scholar
  15. 15.
    B.M. Zupnik, D.G. Pak, Theor. Math. Phys. 77, 1070 (1988) Teor. Mat. Fiz. 77.MathSciNetCrossRefGoogle Scholar
  16. 16.
    B.M. Zupnik, D.G. Pak, Sov. Phys. J. 31, 962 (1988).CrossRefGoogle Scholar
  17. 17.
    E.A. Ivanov, Phys. Lett. B 268, 203 (1991).MathSciNetADSCrossRefGoogle Scholar
  18. 18.
    H. Nishino, S.J.J. Gates, Phys. Lett. B 281, 72 (1992).MathSciNetADSCrossRefGoogle Scholar
  19. 19.
    H. Nishino, S.J.J. Gates, Int. J. Mod. Phys. A 8, 3371 (1993).MathSciNetADSCrossRefzbMATHGoogle Scholar
  20. 20.
    M.S. Bianchi, S. Penati, M. Siani, JHEP 01, 080 (2010) arXiv:0910.5200 [hep-th].ADSCrossRefGoogle Scholar
  21. 21.
    M.S. Bianchi, S. Penati, M. Siani, JHEP 05, 106 (2010) arXiv:0912.4282 [hep-th].MathSciNetADSCrossRefGoogle Scholar
  22. 22.
    T. Bargheer, F. Loebbert, C. Meneghelli, Phys. Rev. D 82, 045016 (2010) arXiv:1003.6120 [hep-th].ADSCrossRefGoogle Scholar
  23. 23.
    Y.-t. Huang, A.E. Lipstein, JHEP 11, 076 (2010) arXiv:1008.0041 [hep-th].MathSciNetADSCrossRefGoogle Scholar
  24. 24.
    S. Lee, Phys. Rev. Lett. 105, 151603 (2010) arXiv:1007.4772 [hep-th].MathSciNetADSCrossRefGoogle Scholar
  25. 25.
    D. Gang, Y.-t. Huang, E. Koh, S. Lee, A.E. Lipstein, JHEP 03, 116 (2011) arXiv:1012.5032 [hep-th].MathSciNetADSCrossRefGoogle Scholar
  26. 26.
    M.S. Bianchi, M. Leoni, A. Mauri, S. Penati, A. Santambrogio, JHEP 01, 056 (2012) arXiv:1107.3139 [hep-th].MathSciNetADSCrossRefGoogle Scholar
  27. 27.
    M.S. Bianchi, M. Leoni, A. Mauri, S. Penati, A. Santambrogio, JHEP 12, 073 (2011) arXiv:1110.0738 [hep-th].MathSciNetADSCrossRefGoogle Scholar
  28. 28.
    A. Agarwal, N. Beisert, T. McLoughlin, JHEP 06, 045 (2009) arXiv:0812.3367 [hep-th].MathSciNetADSCrossRefGoogle Scholar
  29. 29.
    T. Bargheer, N. Beisert, F. Loebbert, T. McLoughlin, J. Phys. A 45, 475402 (2012) arXiv:1204.4406 [hep-th].MathSciNetADSCrossRefGoogle Scholar
  30. 30.
    M.S. Bianchi, M. Leoni, A. Mauri, S. Penati, A. Santambrogio, JHEP 07, 029 (2012) arXiv:1204.4407 [hep-th].MathSciNetADSCrossRefGoogle Scholar
  31. 31.
    M.S. Bianchi, M. Leoni, S. Penati, JHEP 10, 198 (2012) arXiv:1208.0329 [hep-th].ADSCrossRefGoogle Scholar
  32. 32.
    A. Brandhuber, G. Travaglini, C. Wen, JHEP 07, 160 (2012) arXiv:1205.6705 [hep-th].MathSciNetADSCrossRefGoogle Scholar
  33. 33.
    A. Brandhuber, G. Travaglini, C. Wen, JHEP 10, 145 (2012) arXiv:1207.6908 [hep-th].MathSciNetADSCrossRefGoogle Scholar
  34. 34.
    L. Dolan, C.R. Nappi, E. Witten, JHEP 10, 017 (2003) hep-th/0308089.MathSciNetADSCrossRefGoogle Scholar
  35. 35.
    L. Dolan, C.R. Nappi, E. Witten, in Proceedings of the 3rd International Symposium on Quantum Theory and Symmetries (QTS3) 10-14 September 2003, Cincinnati, Ohio, CNUM: C03-09-10, hep-th/0401243.Google Scholar
  36. 36.
    F. Cachazo, P. Svrcek, E. Witten, JHEP 10, 077 (2004) hep-th/0409245.MathSciNetADSCrossRefGoogle Scholar
  37. 37.
    T. Bargheer, N. Beisert, W. Galleas, F. Loebbert, T. McLoughlin, JHEP 11, 056 (2009) arXiv:0905.3738 [hep-th].MathSciNetADSCrossRefGoogle Scholar
  38. 38.
    T. Bargheer, N. Beisert, F. Loebbert, J. Phys. A 44, 454012 (2011) arXiv:1104.0700 [hep-th].MathSciNetADSCrossRefGoogle Scholar
  39. 39.
    W.-M. Chen, Y.-t. Huang, JHEP 11, 057 (2011) arXiv:1107.2710 [hep-th].ADSCrossRefGoogle Scholar
  40. 40.
    A.V. Kotikov, L.N. Lipatov, Nucl. Phys. B 661, 19 (20030) 685.Google Scholar
  41. 41.
    A.V. Kotikov, L.N. Lipatov, A.I. Onishchenko, V.N. Velizhanin, Phys. Lett. B 595, 521 (2004) 632.MathSciNetADSCrossRefzbMATHGoogle Scholar
  42. 42.
    A.V. Kotikov, L.N. Lipatov, Nucl. Phys. B 769, 217 (2007) hep-th/0611204.MathSciNetADSCrossRefzbMATHGoogle Scholar
  43. 43.
    N. Berkovits, J. Maldacena, JHEP 09, 062 (2008) arXiv:0807.3196 [hep-th].MathSciNetADSCrossRefGoogle Scholar
  44. 44.
    N. Beisert, R. Ricci, A.A. Tseytlin, M. Wolf, Phys. Rev. D 78, 126004 (2008) arXiv:0807.3228 [hep-th].MathSciNetADSCrossRefGoogle Scholar
  45. 45.
    J.M. Henn, J. Plefka, K. Wiegandt, JHEP 08, 032 (2010) arXiv:1004.0226 [hep-th].MathSciNetADSCrossRefGoogle Scholar
  46. 46.
    M.S. Bianchi, M. Leoni, A. Mauri, S. Penati, C. Ratti, A. Santambrogio, JHEP 06, 118 (2011) arXiv:1103.3675 [hep-th].MathSciNetADSCrossRefGoogle Scholar
  47. 47.
    K. Wiegandt, Phys. Rev. D 84, 126015 (2011) arXiv:1110.1373 [hep-th].ADSCrossRefGoogle Scholar
  48. 48.
    M.S. Bianchi, G. Giribet, M. Leoni, S. Penati, arXiv:1304.6085 [hep-th].
  49. 49.
    M.S. Bianchi, G. Giribet, M. Leoni, S. Penati, arXiv:1303.6939 [hep-th].
  50. 50.
    N. Drukker, M. Marino, P. Putrov, Commun. Math. Phys. 306, 511 (2011) arXiv:1007.3837 [hep-th].MathSciNetADSCrossRefzbMATHGoogle Scholar
  51. 51.
    I. Adam, A. Dekel, Y. Oz, JHEP 04, 120 (2009) arXiv:0902.3805 [hep-th].MathSciNetADSCrossRefGoogle Scholar
  52. 52.
    P.A. Grassi, D. Sorokin, L. Wulff, JHEP 08, 060 (2009) arXiv:0903.5407 [hep-th].MathSciNetADSCrossRefGoogle Scholar
  53. 53.
    I. Adam, A. Dekel, Y. Oz, JHEP 10, 110 (2010) arXiv:1008.0649 [hep-th].MathSciNetADSCrossRefGoogle Scholar
  54. 54.
    I. Bakhmatov, Nucl. Phys. B 847, 38 (2011) arXiv:1011.0985 [hep-th].MathSciNetADSCrossRefzbMATHGoogle Scholar
  55. 55.
    A. Dekel, Y. Oz, JHEP 03, 117 (2011) arXiv:1101.0400 [hep-th].MathSciNetADSCrossRefGoogle Scholar
  56. 56.
    I. Bakhmatov, E.O. Colgain, H. Yavartanoo, JHEP 10, 085 (2011) arXiv:1109.1052 [hep-th].ADSCrossRefGoogle Scholar
  57. 57.
    E.O. Colgain, JHEP 04, 047 (2012) arXiv:1202.3416 [hep-th].ADSCrossRefGoogle Scholar
  58. 58.
    S. Caron-Huot, Y.-t. Huang, JHEP 03, 075 (2013) arXiv:1210.4226 [hep-th].ADSCrossRefGoogle Scholar
  59. 59.
    J.M. Drummond, J. Henn, V.A. Smirnov, E. Sokatchev, JHEP 01, 064 (2007) hep-th/0607160.MathSciNetADSCrossRefGoogle Scholar
  60. 60.
    J.M. Drummond, J. Henn, G.P. Korchemsky, E. Sokatchev, Nucl. Phys. B 826, 337 (2010) arXiv:0712.1223 [hep-th].MathSciNetADSCrossRefzbMATHGoogle Scholar
  61. 61.
    Z. Bern, L.J. Dixon, D.C. Dunbar, D.A. Kosower, Nucl. Phys. B 425, 217 (1994) hep-ph/9403226.MathSciNetADSCrossRefzbMATHGoogle Scholar
  62. 62.
    A.H. Mueller, Phys. Rev. D 20, 2037 (1979).MathSciNetADSCrossRefGoogle Scholar
  63. 63.
    J.C. Collins, Phys. Rev. D 22, 1478 (1980).ADSCrossRefGoogle Scholar
  64. 64.
    A. Sen, Phys. Rev. D 24, 3281 (1981).ADSCrossRefGoogle Scholar
  65. 65.
    G.P. Korchemsky, A.V. Radyushkin, Phys. Lett. B 171, 459 (1986).ADSCrossRefGoogle Scholar
  66. 66.
    G.P. Korchemsky, A.V. Radyushkin, Nucl. Phys. B 283, 342 (1987).ADSCrossRefGoogle Scholar
  67. 67.
    G.P. Korchemsky, Phys. Lett. B 217, 330 (1989).MathSciNetADSCrossRefGoogle Scholar
  68. 68.
    L. Magnea, G.F. Sterman, Phys. Rev. D 42, 4222 (1990).ADSCrossRefGoogle Scholar
  69. 69.
    G.F. Sterman, M.E. Tejeda-Yeomans, Phys. Lett. B 552, 48 (2003) hep-ph/0210130.ADSCrossRefzbMATHGoogle Scholar
  70. 70.
    Z. Bern, L.J. Dixon, V.A. Smirnov, Phys. Rev. D 72, 085001 (2005) hep-th/0505205.MathSciNetADSCrossRefGoogle Scholar
  71. 71.
    N. Gromov, P. Vieira, JHEP 01, 016 (2009) arXiv:0807.0777 [hep-th].MathSciNetADSCrossRefGoogle Scholar
  72. 72.
    M.S. Bianchi, M. Leoni, S. Penati, JHEP 04, 045 (2012) arXiv:1112.3649 [hep-th].MathSciNetADSCrossRefGoogle Scholar

Copyright information

© Società Italiana di Fisica and Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  1. 1.Institut für PhysikHumboldt-Universität zu BerlinBerlinGermany

Personalised recommendations