Advertisement

On the Symmetries of Classical String Theory

  • Constantin P. Bachas
Conference paper

Abstract

I discuss some aspects of conformal defects and conformal interfaces in two spacetime dimensions. Special emphasis is placed on their role as spectrumgenerating symmetries of classical string theory.

Keywords

Wilson Loop Loop Operator Topological Defect Fusion Rule Conformal Boundary 
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.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    I. Affleck, Acta Phys. Polon. B 26 (1995) 1869 [arXiv:cond-mat/9512099].MathSciNetGoogle Scholar
  2. 2.
    I. Affleck and A. W. W. Ludwig, Phys. Rev. Lett. 67 (1991) 161.MATHCrossRefADSMathSciNetGoogle Scholar
  3. 3.
    A. Alekseev and S. Monnier, JHEP 0708 (2007) 039 [arXiv:hep-th/0702174].CrossRefADSMathSciNetGoogle Scholar
  4. 4.
    A. Alekseev and S. L. Shatashvili, Commun. Math. Phys. 133 (1990) 353.MATHCrossRefADSMathSciNetGoogle Scholar
  5. 5.
    N. Andrei, Phys. Rev. Lett. 45 (1980) 379.CrossRefADSGoogle Scholar
  6. 6.
    O. Babelon, D. Bernard and M. Talon, Introduction to Classical Integrable Systems (Cambridge University Press, Cambridge, 2003).MATHCrossRefGoogle Scholar
  7. 7.
    C. Bachas and I. Brunner, JHEP 0802 (2008) 085 [arXiv:0712.0076 [hep-th]].CrossRefADSMathSciNetGoogle Scholar
  8. 8.
    C. Bachas and M. Gaberdiel, JHEP 0411 (2004) 065 [arXiv:hep-th/0411067].CrossRefADSMathSciNetMATHGoogle Scholar
  9. 9.
    C. Bachas and M. Petropoulos, JHEP 0102 (2001) 025 [arXiv:hep-th/0012234].CrossRefADSMathSciNetGoogle Scholar
  10. 10.
    C. Bachas, J. de Boer, R. Dijkgraaf and H. Ooguri, JHEP 0206 (2002) 027 [arXiv:hep-th/0111210].CrossRefADSMathSciNetGoogle Scholar
  11. 11.
    V. V. Bazhanov, S. L. Lukyanov and A. B. Zamolodchikov, Commun. Math. Phys. 177 (1996) 381 [arXiv:hep-th/9412229].MATHCrossRefADSMathSciNetGoogle Scholar
  12. 12.
    V. V. Bazhanov, S. L. Lukyanov and A. B. Zamolodchikov, Commun. Math. Phys. 190 (1997) 247 [arXiv:hep-th/9604044].MATHCrossRefADSMathSciNetGoogle Scholar
  13. 13.
    V. V. Bazhanov, S. L. Lukyanov and A. B. Zamolodchikov, Commun. Math. Phys. 200 (1999) 297 [arXiv:hep-th/9805008].MATHCrossRefADSMathSciNetGoogle Scholar
  14. 14.
    I. Brunner and D. Roggenkamp, JHEP 0708 (2007) 093 [arXiv:0707.0922 [hep-th]].CrossRefADSMathSciNetGoogle Scholar
  15. 15.
    I. Brunner and D. Roggenkamp, JHEP 0804 (2008) 001 [arXiv:0712.0188 [hep-th]].CrossRefADSMathSciNetGoogle Scholar
  16. 16.
    I. Brunner, H. Jockers and D. Roggenkamp, arXiv:0806.4734 [hep-th] (unpublished).Google Scholar
  17. 17.
    C. G. Callan, C. Lovelace, C. R. Nappi and S. A. Yost, Nucl. Phys. B 293 (1987) 83.CrossRefADSMathSciNetGoogle Scholar
  18. 18.
    O. DeWolfe, D. Z. Freedman and H. Ooguri, Phys. Rev. D 66 (2002) 025009 [arXiv:hep-th/0111135].ADSMathSciNetGoogle Scholar
  19. 19.
    J. Ehlers, Konstruktionen und Charakterisierung von Lsungen der Einsteinschen Gravitations-feldgleichungen, Dissertation, Hamburg University, Hamburg, Germany (1957).Google Scholar
  20. 20.
    J. Erdmenger, Z. Guralnik and I. Kirsch, Phys. Rev. D 66 (2002) 025020 [arXiv:hep-th/0203020].ADSMathSciNetGoogle Scholar
  21. 21.
    S. Ferrara, R. Kallosh and A. Strominger, Phys. Rev. D 52 (1995) 5412 [arXiv:hep-th/9508072].ADSMathSciNetGoogle Scholar
  22. 22.
    S. Fredenhagen, Nucl. Phys. B 660 (2003) 436 [arXiv:hep-th/0301229].ADSMathSciNetGoogle Scholar
  23. 23.
    J. Frohlich, J. Fuchs, I. Runkel and C. Schweigert, Phys. Rev. Lett. 93 (2004) 070601 [arXiv:cond-mat/0404051].CrossRefADSMathSciNetGoogle Scholar
  24. 24.
    J. Frohlich, J. Fuchs, I. Runkel and C. Schweigert, Nucl. Phys. B 763 (2007) 354 [arXiv: hep-th/0607247].CrossRefADSMathSciNetGoogle Scholar
  25. 25.
    J. Fuchs, M. R. Gaberdiel, I. Runkel and C. Schweigert, J. Phys. A 40 (2007) 11403 [arXiv:0705.3129 [hep-th]].ADSMathSciNetGoogle Scholar
  26. 26.
    J. Fuchs, I. Runkel and C. Schweigert, arXiv:math/0701223 (unpublished).Google Scholar
  27. 27.
    R. Geroch, J. Math. Phys. 12 (1971) 918.MATHCrossRefADSMathSciNetGoogle Scholar
  28. 28.
    K. Graham and G. M. T. Watts, JHEP 0404 (2004) 019 [arXiv:hep-th/0306167].CrossRefADSMathSciNetGoogle Scholar
  29. 29.
    S. Gukov and E. Witten, arXiv:hep-th/0612073 (unpublished).Google Scholar
  30. 30.
    J. A. Harvey and G. W. Moore, Commun. Math. Phys. 197 (1998) 489 [arXiv:hep-th/ 9609017].MATHCrossRefADSMathSciNetGoogle Scholar
  31. 31.
    C. M. Hull, JHEP 0707 (2007) 080 [arXiv:hep-th/0605149].CrossRefADSMathSciNetGoogle Scholar
  32. 32.
    V. G. Kac, Proc. Natl. Acad. Sci. U. S. A. 81 (1984) 645.MATHCrossRefADSGoogle Scholar
  33. 33.
    A. Kapustin, arXiv:hep-th/0612119 (unpublished).Google Scholar
  34. 34.
    A. Kapustin and N. Saulina, arXiv:0710.2097 [hep-th] (unpublished).Google Scholar
  35. 35.
    A. Kapustin and E. Witten, arXiv:hep-th/0604151 (unpublished).Google Scholar
  36. 36.
    A. Karch and L. Randall, JHEP 0105 (2001) 008 [arXiv:hep-th/0011156].CrossRefADSMathSciNetGoogle Scholar
  37. 37.
    A. Karch and L. Randall, JHEP 0106 (2001) 063 [arXiv:hep-th/0105132].CrossRefADSMathSciNetGoogle Scholar
  38. 38.
    J. M. Maldacena, Phys. Rev. Lett. 80 (1998) 4859 [arXiv:hep-th/9803002].MATHCrossRefADSMathSciNetGoogle Scholar
  39. 39.
    M. Oshikawa and I. Affleck, Nucl. Phys. B 495 (1997) 533 [arXiv:cond-mat/9612187].CrossRefADSMathSciNetGoogle Scholar
  40. 40.
    V. B. Petkova and J. B. Zuber, Phys. Lett. B 504 (2001) 157 [arXiv:hep-th/0011021].ADSMathSciNetGoogle Scholar
  41. 41.
    J. Polchinski, Phys. Rev. Lett. 75 (1995) 4724 [arXiv:hep-th/9510017].MATHCrossRefADSMathSciNetGoogle Scholar
  42. 42.
    J. Polchinski and Y. Cai, Nucl. Phys. B 296 (1988) 91.CrossRefADSMathSciNetGoogle Scholar
  43. 43.
    S. J. Rey and J. T. Yee, Eur. Phys. J. C 22 (2001) 379 [arXiv:hep-th/9803001].MATHCrossRefADSMathSciNetGoogle Scholar
  44. 44.
    T. Quella, I. Runkel and G. M. T. Watts, JHEP 0704 (2007) 095 [arXiv:hep-th/0611296].CrossRefADSMathSciNetGoogle Scholar
  45. 45.
    E. P. Verlinde, Nucl. Phys. B 300 (1988) 360.CrossRefADSMathSciNetGoogle Scholar
  46. 46.
    P. B. Wiegmann, JETP Lett. 31 (1980) 392.Google Scholar
  47. 47.
    K. G. Wilson, Phys. Rev. D 10 (1974) 2445.ADSGoogle Scholar
  48. 48.
    K. G. Wilson, Rev. Mod. Phys. 47 (1975) 773.CrossRefADSGoogle Scholar

Copyright information

© Springer-Verlag New York 2009

Authors and Affiliations

  1. 1.Laboratoire de Physique ThéoriqueÉcole Normale SupérieureFrance

Personalised recommendations