Gauge Theories from D Branes

  • Paolo Di Vecchia
  • Antonella Liccardo
Chapter

Abstract

In these lectures we start with a pedagogical introduction of the properties of open and closed superstrings and then, using the open/closed string duality, we construct the boundary state that provides the description of the maximally supersymmetric Dp branes in terms of the perturbative string formalism. We then use it for deriving the corresponding supergravity solution and the Born-Infeld action and for studying the properties of the maximally supersymmetric gauge theories living on their worldvolume. In the last section of these lectures we extend these results to less supersymmetric and non-conformal gauge theories by considering fractional branes of orbifolds and wrapped branes.

Keywords

Gauge Theory Vertex Operator Open String Closed String Gauge Coupling Constant 
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.
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References

  1. 1.
    J. Maldacena, The Large N Limit of Superconformal Field Theories and Supergravity, Adv. Theor. Math. Phys. 2 (1998) 231, hep-th/9711200.MATHGoogle Scholar
  2. 2.
    P. Di Vecchia and A. Liccardo, D branes in string theory I, NATO Adv. Study Inst. Ser. C. Math. Phys. Sci.556 (2000) 1, hep-th/9912161. P. Di Vecchia and A. Liccardo, D branes in string theory II Proceedings of the YITP workshop on Developments in Superstring and M-Theory, p. 7, hep-th/9912275Google Scholar
  3. 3.
    M. Bertolini, Four Lectures on The Gauge/Gravity Correspondence, Int. J. Mod. Phys. A18 (2003) 5647, hep-th/0303160.Google Scholar
  4. 4.
    F. Bigazzi, A.L. Cotrone, M. Petrini and A. Zaffaroni, Supergravity duals of supersymmetric four dimensional gauge theories, Riv. Nuovo Cim. 25N12 (2002) 1, hep-th/0303191.Google Scholar
  5. 5.
    D. Friedan, E. Martinec and S. Shenker, Conformal invariance, supersymmetry and string theory, Nucl. Phys. B271 (1986) 93.Google Scholar
  6. 6.
    R. Pettorino and F. Pezzella, More about picture changed vertices in superstring theory, Phys. Lett. B269 (1991) 77.Google Scholar
  7. 7.
    M. Billó, P. Di Vecchia, M. Frau, A. Lerda, I. Pesando, R. Russo and S. Sciuto, Microscopic string analysis of the D0-D8 brane system and dual R-R states, Nucl. Phys. B526 (1998) 199, hep-th/9802088.CrossRefGoogle Scholar
  8. 8.
    P. Di Vecchia, A. Lerda, L. Magnea, R. Marotta, R. Russo, String techniques for the calculation of renormalization constants in field theory, Nucl. Phys. B469 (1996) 235, hep-th/9601143CrossRefGoogle Scholar
  9. 9.
    J. Polchinski, Dirichlet-branes and Ramond-Ramond Charges, Phys. Rev. Lett. 75 (1995) 4724, hep-th/9510017.MATHCrossRefGoogle Scholar
  10. 10.
    P. Di Vecchia, M. Frau, I. Pesando, S. Sciuto, A. Lerda, R. Russo, Classical p-branes from boundary state, Nucl. Phys. B507 (1997) 259, hep-th/9707068.CrossRefGoogle Scholar
  11. 11.
    S.A. Yost, Bosonized superstring boundary state and partition functions, Nucl. Phys. B321 (1989) 629.CrossRefGoogle Scholar
  12. 12.
    M. Bianchi, G. Pradisi and A. Sagnotti, Toroidal compactifications and symmetry breaking in open-string theories, Nucl. Phys. B376 (1992) 365.CrossRefGoogle Scholar
  13. 13.
    P. Di Vecchia, M. Frau, A. Lerda and A. Liccardo, (F, Dp) bound states from the boundary state, Nucl. Phys. B565 (2000) 397, hep-th/9906214.Google Scholar
  14. 14.
    A.A. Tseytlin, On non-abelian generalization of Born-Infeld action in string theory, Nucl. Phys. B501 (1997) 41, hep-th/9701125.CrossRefGoogle Scholar
  15. 15.
    P. Di Vecchia, A. Liccardo, R. Marotta and F. Pezzella, Gauge/Gravity Correspondence from Open/Closed String Duality, JHEP 0306 (2003) 007, hep-th/0305061CrossRefGoogle Scholar
  16. 16.
    M. Bertolini, P. Di Vecchia, M. Frau, A. Lerda and R. Marotta, N=2 gauge theories on systems of fractional D3/D7 branes, Nucl. Phys. B621 (2002) 157, hep-th/0107057.CrossRefGoogle Scholar
  17. 17.
    I.R. Klebanov and N. Nekrasov, Gravity Duals of Fractional Branes and Logarithmic RG Flow, Nucl. Phys. B574 (2000) 263–274, hep-th/9911096.CrossRefGoogle Scholar
  18. 18.
    M. Bertolini, P. Di Vecchia, M. Frau, A. Lerda, R. Marotta and I. Pesando, Fractional D-branes and their gauge duals, JHEP 02 (2001) 014, hep-th/0011077.CrossRefGoogle Scholar
  19. 19.
    J. Polchinski, N = 2 gauge-gravity duals, Int. J. Mod. Phys. A16 (2001) 707, hep-th/0011193.Google Scholar
  20. 20.
    M. Graña and J. Polchinski, Gauge/gravity duals with holomorphic dilaton, Phys. Rev D65 (2002) 126005, hep-th/0106014.Google Scholar
  21. 21.
    M. Billò, L. Gallot and A. Liccardo, Classical geometry and gauge duals for fractional branes on ALE spaces, Nucl. Phys. B614 (2001) 254, hep-th/0105258.CrossRefGoogle Scholar
  22. 22.
    M. Bertolini, P. Di Vecchia and R. Marotta, N=2 four-dimensional gauge theories from fractional branes, in “Multiple Facets of Quantization and Supersymmetry”, Michael Marinov memorial volume, edited by M. Olshanetsky and A. Vainshtein, World Scientific, p. 730, hep-th/0112195.Google Scholar
  23. 23.
    C.V. Johnson, A.W. Peet and J. Polchinski, Gauge theory and the excision of repulson singularities, Phys. Rev. D61 (2000) 086001, hep-th/9911161.Google Scholar
  24. 24.
    I.R. Klebanov, P. Ouyang and E. Witten, A Gravity Dual of the Chiral Anomaly, Phys. Rev. D65 (2002) 105007, hep-th/0202056.Google Scholar
  25. 25.
    M. Bertolini, P. Di Vecchia, M. Frau, A. Lerda and R. Marotta, More anomalies from fractional branes, Phys. Lett. B540 (2002) 104, hep-th/0202195.Google Scholar
  26. 26.
    R. Marotta, F. Nicodemi, R. Pettorino, F. Pezzella and F. Sannino, N = 1 Matter from Fractional Branes, JHEP 0209 (2002) 010, hep-th/0208153.CrossRefGoogle Scholar
  27. 27.
    M. Bertolini, P. Di Vecchia, G. Ferretti and R. Marotta, Fractional Branes and N = 1 Gauge Theories, Nucl. Phys. 360 (2002) 222, hep-th/0112187.CrossRefGoogle Scholar
  28. 28.
    J. Maldacena and C. Nuñez, Towards The Large N Limit Of N=1 Super Yang Mills, Phys. Rev. Lett. 86 (2001) 588, hep-th/0008001.CrossRefGoogle Scholar
  29. 29.
    P. Di Vecchia, A. Lerda and P. Merlatti, N = 1 and N = 2 super Yang-Mills theories from wrapped branes, Nucl. Phys. B646 (2002) 43, hep-th/0205204.CrossRefGoogle Scholar
  30. 30.
    M. Cvetic, H. Lu and C. N. Pope, Consistent Kaluza-Klein Sphere Reduction, Phys. Rev. D62 (2000) 064028, hep-th/0003286.Google Scholar
  31. 31.
    A. H. Chamseddine and M. S. Volkov, Non-Abelian BPS Monopoles In N = 4 Gauged Supergravity, Phys. Rev. Lett. 79 (1997) 3343, hep-th/9707176; Non-Abelian Solitons In N = 4 Gauged Supergravity And Leading Order String Theory, Phys. Rev. D57 (1998) 6242, hep-th/9711181.MATHCrossRefGoogle Scholar
  32. 32.
    R. Apreda, F. Bigazzi, A. L. Cotrone, M. Petrini and A. Zaffaroni, Some Comments on N = 1 Gauge Theories From Wrapped Branes, Phys. Lett. B536 (2002) 161, hep-th/0112236.Google Scholar
  33. 33.
    V. Novikov, M. Shifman, A. Vainstein and V. Zakharov, Exact Gell-Mann-Low Function Of Supersymmetric Yang-Mills Theories From Instanton Calculus, Nucl. Phys. B229 (1983) 381.CrossRefGoogle Scholar
  34. 34.
    P. Olesen and F. Sannino, N = 1 super Yang-Mills from supergravity: The UV-IR connection, hep-th/0207039.Google Scholar
  35. 35.
    M. A. Shifman and A. I. Vainshtein, Solution Of The Anomaly Puzzle In Susy Gauge Theories And The Wilson Operator Expansion, Nucl. Phys. B277 (1986) 456 [Sov. Phys. JETP 64 (1986) 428].CrossRefGoogle Scholar
  36. 36.
    P. Olesen, private communication.Google Scholar
  37. 37.
    M. Bertolini and P. Merlatti, A note on the dual of N = 1 super Yang-Mills theory, Phys. Lett. B556 (2003) 80, hep-th/0211142.Google Scholar
  38. 38.
    P. Merlatti, N = 1 super Yang-Mills theory and wrapped branes, Class. Quant. Grav. 20 (2003) S541, hep-th/0212203.MATHCrossRefGoogle Scholar
  39. 39.
    W. Mück, Perturbative and nonperturbative aspects of pure N = 1 super Yang-Mills theory from wrapped branes, JHEP 0302 (2003) 013, hep-th/0301171.CrossRefGoogle Scholar
  40. 40.
    P. Di Vecchia, Non conformal gauge theories from D branes, Fortschritte der Physik 51/7–8 (2003) 697, hep-th/0212162.CrossRefGoogle Scholar

Copyright information

© Springer 2007

Authors and Affiliations

  • Paolo Di Vecchia
    • 1
  • Antonella Liccardo
    • 2
  1. 1.NORDITACopenhagen øDenmark
  2. 2.Dipartimento di Scienze FisicheUniversita di Napoli Complesso Universitario Monte S. AngeloNapoliItaly

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