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Geometry of open strings ending on backreacting D3-branes

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Abstract

We investigate open string theory on backreacting D3-branes using a spacetime approach. We study in detail the half-BPS supergravity solutions describing open strings ending on D3-branes, in the near horizon of the D3-branes. We recover quantitatively several non-trivial features of open string physics including the appearance of D3-brane spikes, the polarization of fundamental strings into D5-branes, and the Hanany-Witten effect. Finally we detail the computation of the gravitational potential between two open strings, and contrast it with the holographic computation of Wilson lines. We argue that the D-brane backreaction has a large influence on the low-energy gravity, which may lead to experimental tests for string theory brane-world scenarios.

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References

  1. J. Polchinski, Dirichlet branes and Ramond-Ramond charges, Phys. Rev. Lett. 75 (1995) 4724 [hep-th/9510017] [INSPIRE].

    Article  MathSciNet  ADS  MATH  Google Scholar 

  2. J. Polchinski, TASI lectures on D-branes, hep-th/9611050 [INSPIRE].

  3. D. Garfinkle, G.T. Horowitz and A. Strominger, Charged black holes in string theory, Phys. Rev. D 43 (1991) 3140 [Erratum ibid. D 45 (1992) 3888] [INSPIRE].

    MathSciNet  ADS  Google Scholar 

  4. K. Stelle, Lectures on supergravity p-branes, hep-th/9701088 [INSPIRE].

  5. M.B. Green and J.H. Schwarz, Infinity cancellations in SO(32) superstring theory, Phys. Lett. B 151 (1985) 21 [INSPIRE].

    MathSciNet  ADS  Google Scholar 

  6. C.G. Callan Jr., C. Lovelace, C. Nappi and S. Yost, Adding holes and crosscaps to the superstring, Nucl. Phys. B 293 (1987) 83 [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  7. J. Polchinski and Y. Cai, Consistency of open superstring theories, Nucl. Phys. B 296 (1988) 91 [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  8. C. Angelantonj and A. Sagnotti, Open strings, Phys. Rept. 371 (2002) 1 [Erratum ibid. 376 (2003) 339] [hep-th/0204089] [INSPIRE].

    Article  MathSciNet  ADS  MATH  Google Scholar 

  9. 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] [INSPIRE].

    MathSciNet  ADS  MATH  Google Scholar 

  10. R. Benichou and J. Estes, The fate of Newtons law in brane-world scenarios, arXiv:1112.0565 [INSPIRE].

  11. L. Randall and R. Sundrum, An alternative to compactification, Phys. Rev. Lett. 83 (1999) 4690 [hep-th/9906064] [INSPIRE].

    Article  MathSciNet  ADS  MATH  Google Scholar 

  12. H.L. Verlinde, Holography and compactification, Nucl. Phys. B 580 (2000) 264 [hep-th/9906182] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  13. R. Benichou, The influence of D-branesbackreaction upon gravitational interactions between open strings, JHEP 10 (2010) 001 [arXiv:1006.2824] [INSPIRE].

    Article  ADS  Google Scholar 

  14. A. Strominger and C. Vafa, Microscopic origin of the Bekenstein-Hawking entropy, Phys. Lett. B 379 (1996) 99 [hep-th/9601029] [INSPIRE].

    MathSciNet  ADS  Google Scholar 

  15. G. ’t Hooft, Dimensional reduction in quantum gravity, gr-qc/9310026 [INSPIRE].

  16. L. Susskind, The world as a hologram, J. Math. Phys. 36 (1995) 6377 [hep-th/9409089] [INSPIRE].

    Article  MathSciNet  ADS  MATH  Google Scholar 

  17. I. Park, Scattering on D3-branes, Phys. Lett. B 660 (2008) 583 [arXiv:0708.3452] [INSPIRE].

    ADS  Google Scholar 

  18. I. Park, Open string engineering of D-brane geometry, JHEP 08 (2008) 026 [arXiv:0806.3330] [INSPIRE].

    Article  ADS  Google Scholar 

  19. E. D’Hoker, J. Estes and M. Gutperle, Gravity duals of half-BPS Wilson loops, JHEP 06 (2007) 063 [arXiv:0705.1004] [INSPIRE].

    Article  MathSciNet  Google Scholar 

  20. N. Drukker, D.J. Gross and H. Ooguri, Wilson loops and minimal surfaces, Phys. Rev. D 60 (1999) 125006 [hep-th/9904191] [INSPIRE].

    MathSciNet  ADS  Google Scholar 

  21. W. Fischler and L. Susskind, Dilaton tadpoles, string condensates and scale invariance, Phys. Lett. B 171 (1986) 383 [INSPIRE].

    MathSciNet  ADS  Google Scholar 

  22. W. Fischler and L. Susskind, Dilaton tadpoles, string condensates and scale invariance. 2, Phys. Lett. B 173 (1986) 262 [INSPIRE].

    MathSciNet  ADS  Google Scholar 

  23. C.G. Callan Jr., C. Lovelace, C. Nappi and S. Yost, String loop corrections to β-functions, Nucl. Phys. B 288 (1987) 525 [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  24. D. Berenstein and R.G. Leigh, Superstring perturbation theory and Ramond-Ramond backgrounds, Phys. Rev. D 60 (1999) 106002 [hep-th/9904104] [INSPIRE].

    MathSciNet  ADS  Google Scholar 

  25. C.A. Keller, Brane backreactions and the Fischler-Susskind mechanism in conformal field theory, JHEP 12 (2007) 046 [arXiv:0709.1076] [INSPIRE].

    Article  ADS  Google Scholar 

  26. V. Schomerus, Lectures on branes in curved backgrounds, Class. Quant. Grav. 19 (2002) 5781 [hep-th/0209241] [INSPIRE].

    Article  MathSciNet  ADS  MATH  Google Scholar 

  27. C. Burgess, D. Hoover and G. Tasinato, UV caps and modulus stabilization for 6D gauged chiral supergravity, JHEP 09 (2007) 124 [arXiv:0705.3212] [INSPIRE].

    Article  ADS  Google Scholar 

  28. C. Burgess, D. Hoover, C. de Rham and G. Tasinato, Effective field theories and matching for codimension-2 branes, JHEP 03 (2009) 124 [arXiv:0812.3820] [INSPIRE].

    Article  ADS  Google Scholar 

  29. A. Bayntun, C. Burgess and L. van Nierop, Codimension-2 brane-bulk matching: examples from six and ten dimensions, New J. Phys. 12 (2010) 075015 [arXiv:0912.3039] [INSPIRE].

    Article  ADS  Google Scholar 

  30. C. Burgess, A. Maharana, L. van Nierop, A. Nizami and F. Quevedo, On brane back-reaction and de Sitter solutions in higher-dimensional supergravity, arXiv:1109.0532 [INSPIRE].

  31. S.-J. Rey and J.-T. Yee, Macroscopic strings as heavy quarks in large-N gauge theory and anti-de Sitter supergravity, Eur. Phys. J. C 22 (2001) 379 [hep-th/9803001] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  32. J.M. Maldacena, Wilson loops in large-N field theories, Phys. Rev. Lett. 80 (1998) 4859 [hep-th/9803002] [INSPIRE].

    Article  MathSciNet  ADS  MATH  Google Scholar 

  33. N. Drukker and B. Fiol, All-genus calculation of Wilson loops using D-branes, JHEP 02 (2005) 010 [hep-th/0501109] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  34. S. Yamaguchi, Wilson loops of anti-symmetric representation and D5-branes, JHEP 05 (2006) 037 [hep-th/0603208] [INSPIRE].

    Article  ADS  Google Scholar 

  35. J. Gomis and F. Passerini, Wilson loops as D3-branes, JHEP 01 (2007) 097 [hep-th/0612022] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  36. J. Gomis and F. Passerini, Holographic Wilson loops, JHEP 08 (2006) 074 [hep-th/0604007] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  37. C.G. Callan and J.M. Maldacena, Brane death and dynamics from the Born-Infeld action, Nucl. Phys. B 513 (1998) 198 [hep-th/9708147] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  38. R.C. Myers, Dielectric branes, JHEP 12 (1999) 022 [hep-th/9910053] [INSPIRE].

    Article  ADS  Google Scholar 

  39. R. Emparan, Born-Infeld strings tunneling to D-branes, Phys. Lett. B 423 (1998) 71 [hep-th/9711106] [INSPIRE].

    MathSciNet  ADS  Google Scholar 

  40. I. Bena, The polarization of F1 strings into D2-branes:Aut Caesar, aut nihil’, Phys. Rev. D 67 (2003) 026004 [hep-th/0111156] [INSPIRE].

    MathSciNet  ADS  Google Scholar 

  41. A. Hanany and E. Witten, Type IIB superstrings, BPS monopoles and three-dimensional gauge dynamics, Nucl. Phys. B 492 (1997) 152 [hep-th/9611230] [INSPIRE].

    MathSciNet  ADS  Google Scholar 

  42. J. Pawelczyk and S.-J. Rey, Ramond-Ramond flux stabilization of D-branes, Phys. Lett. B 493 (2000) 395 [hep-th/0007154] [INSPIRE].

    MathSciNet  ADS  Google Scholar 

  43. J. Camino, A. Paredes and A. Ramallo, Stable wrapped branes, JHEP 05 (2001) 011 [hep-th/0104082] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  44. J. McGreevy, L. Susskind and N. Toumbas, Invasion of the giant gravitons from Anti-de Sitter space, JHEP 06 (2000) 008 [hep-th/0003075] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  45. M.T. Grisaru, R.C. Myers and O. Tafjord, SUSY and goliath, JHEP 08 (2000) 040 [hep-th/0008015] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  46. H. Lin, O. Lunin and J.M. Maldacena, Bubbling AdS space and 1/2 BPS geometries, JHEP 10 (2004) 025 [hep-th/0409174] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  47. O. Lunin, On gravitational description of Wilson lines, JHEP 06 (2006) 026 [hep-th/0604133] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  48. O. Lunin, Strings ending on branes from supergravity, JHEP 09 (2007) 093 [arXiv:0706.3396] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  49. T. Okuda and D. Trancanelli, Spectral curves, emergent geometry and bubbling solutions for Wilson loops, JHEP 09 (2008) 050 [arXiv:0806.4191] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  50. E.A. Erdelyi, Higher transcendental functions, Bateman manuscript project, volume II, Robert E. Krieger Publishing Company, Malabar U.S.A. (1981).

    Google Scholar 

  51. D.N. Page, Classical stability of round and squashed seven spheres in eleven-dimensional supergravity, Phys. Rev. D 28 (1983) 2976 [INSPIRE].

    MathSciNet  ADS  Google Scholar 

  52. C. Bachas, M.R. Douglas and C. Schweigert, Flux stabilization of D-branes, JHEP 05 (2000) 048 [hep-th/0003037] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  53. D. Marolf, Chern-Simons terms and the three notions of charge, hep-th/0006117 [INSPIRE].

  54. S.D. Mathur, The fuzzball proposal for black holes: an elementary review, Fortsch. Phys. 53 (2005) 793 [hep-th/0502050] [INSPIRE].

    Article  MathSciNet  ADS  MATH  Google Scholar 

  55. K. Skenderis and M. Taylor, The fuzzball proposal for black holes, Phys. Rept. 467 (2008) 117 [arXiv:0804.0552] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  56. J.P. Gauntlett, C. Kohl, D. Mateos, P. Townsend and M. Zamaklar, Finite energy Dirac-Born-Infeld monopoles and string junctions, Phys. Rev. D 60 (1999) 045004 [hep-th/9903156] [INSPIRE].

    MathSciNet  ADS  Google Scholar 

  57. C.G. Callan and J.M. Maldacena, D-brane approach to black hole quantum mechanics, Nucl. Phys. B 472 (1996) 591 [hep-th/9602043] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  58. V. Balasubramanian, M.-X. Huang, T.S. Levi and A. Naqvi, Open strings from N = 4 super Yang-Mills, JHEP 08 (2002) 037 [hep-th/0204196] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  59. D. Berenstein, D.H. Correa and S.E. Vazquez, A study of open strings ending on giant gravitons, spin chains and integrability, JHEP 09 (2006) 065 [hep-th/0604123] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  60. 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] [INSPIRE].

    MathSciNet  ADS  Google Scholar 

  61. E. Witten, Anti-de Sitter space and holography, Adv. Theor. Math. Phys. 2 (1998) 253 [hep-th/9802150] [INSPIRE].

    MathSciNet  ADS  MATH  Google Scholar 

  62. K. Zarembo, Holographic three-point functions of semiclassical states, JHEP 09 (2010) 030 [arXiv:1008.1059] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  63. M.S. Costa, R. Monteiro, J.E. Santos and D. Zoakos, On three-point correlation functions in the gauge/gravity duality, JHEP 11 (2010) 141 [arXiv:1008.1070] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  64. S.B. Giddings, E. Katz and L. Randall, Linearized gravity in brane backgrounds, JHEP 03 (2000) 023 [hep-th/0002091] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

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Correspondence to John Estes.

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ArXiv ePrint: 1112.3035

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Benichou, R., Estes, J. Geometry of open strings ending on backreacting D3-branes. J. High Energ. Phys. 2012, 25 (2012). https://doi.org/10.1007/JHEP03(2012)025

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