Strings in an arbitrary constant magnetic field with arbitrary constant metric and stringy form factors

  • Igor Pesando


We quantize the open string in an arbitrary constant magnetic field with a non factorized metric on a torus. We then discuss carefully the vertexes which describe the emission of dipole open strings and closed strings in the non compact limit. Finally we compute various stringy form factors which in the compact case induces a Kæhler and complex structure dependence and suppression of some amplitudes with KK states.


Brane Dynamics in Gauge Theories Conformal Field Models in String Theory 

Further Reading

  1. [1]
    C. Bachas, A Way to break supersymmetry, hep-th/9503030 [SPIRES].
  2. [2]
    C. Angelantonj, I. Antoniadis, E. Dudas and A. Sagnotti, Type-I strings on magnetised orbifolds and brane transmutation, Phys. Lett. B 489 (2000) 223 [hep-th/0007090] [SPIRES].MathSciNetADSGoogle Scholar
  3. [3]
    F. Marchesano, Progress in D-brane model building, Fortsch. Phys. 55 (2007) 491 [hep-th/0702094] [SPIRES].MathSciNetMATHCrossRefADSGoogle Scholar
  4. [4]
    R. Blumenhagen, M. Cvetič, S. Kachru and T. Weigand, D-Brane Instantons in Type II Orientifolds, Ann. Rev. Nucl. Part. Sci. 59 (2009) 269 [arXiv:0902.3251] [SPIRES].ADSCrossRefGoogle Scholar
  5. [5]
    N. Dorey, T.J. Hollowood, V.V. Khoze and M.P. Mattis, The calculus of many instantons, Phys. Rept. 371 (2002) 231 [hep-th/0206063] [SPIRES].MathSciNetADSMATHCrossRefGoogle Scholar
  6. [6]
    M.B. Green and M. Gutperle, D-instanton induced interactions on a D3-brane, JHEP 02 (2000) 014 [hep-th/0002011] [SPIRES].MathSciNetADSCrossRefGoogle Scholar
  7. [7]
    M. Billó et al., Classical gauge instantons from open strings, JHEP 02 (2003) 045 [hep-th/0211250] [SPIRES].ADSCrossRefGoogle Scholar
  8. [8]
    P. Di Vecchia et al., Classical p-branes from boundary state, Nucl. Phys. B 507 (1997) 259 [hep-th/9707068] [SPIRES].ADSCrossRefGoogle Scholar
  9. [9]
    I. Antoniadis, K. Benakli and A. Laugier, Contact interactions in D-brane models, JHEP 05 (2001) 044 [hep-th/0011281] [SPIRES].MathSciNetADSCrossRefGoogle Scholar
  10. [10]
    M. Cvetič and I. Papadimitriou, Conformal field theory couplings for intersecting D-branes on orientifolds, Phys. Rev. D 68 (2003) 046001 [Erratum ibid D 70 (2004) 029903] [hep-th/0303083] [SPIRES].ADSGoogle Scholar
  11. [11]
    D. Cremades, L.E. Ibáñez and F. Marchesano, Computing Yukawa couplings from magnetized extra dimensions, JHEP 05 (2004) 079 [hep-th/0404229] [SPIRES].ADSCrossRefGoogle Scholar
  12. [12]
    R. Blumenhagen, L. Görlich, B. Körs and D. Lüst, Noncommutative compactifications of type-I strings on tori with magnetic background flux, JHEP 10 (2000) 006 [hep-th/0007024] [SPIRES].ADSCrossRefGoogle Scholar
  13. [13]
    I. Antoniadis and T. Maillard, Moduli stabilization from magnetic fluxes in type-I string theory, Nucl. Phys. B 716 (2005) 3 [hep-th/0412008] [SPIRES].MathSciNetADSCrossRefGoogle Scholar
  14. [14]
    M. Billó et al., Instantons in N = 2 magnetized D-brane worlds, JHEP 10 (2007) 091 [arXiv:0708.3806] [SPIRES].ADSCrossRefGoogle Scholar
  15. [15]
    M. Billó et al., Instanton effects in N = 1 brane models and the Kähler metric of twisted matter, JHEP 12 (2007) 051 [arXiv:0709.0245] [SPIRES].ADSCrossRefGoogle Scholar
  16. [16]
    M. Billó et al., Stringy instanton corrections to N = 2 gauge couplings, JHEP 05 (2010) 107 [arXiv:1002.4322] [SPIRES].ADSCrossRefGoogle Scholar
  17. [17]
    M. Billó et al., Exotic instanton counting and heterotic/type-I’ duality, JHEP 07 (2009) 092 [arXiv:0905.4586] [SPIRES].ADSCrossRefGoogle Scholar
  18. [18]
    D. Lüst, S. Stieberger and T.R. Taylor, The LHC String Hunter’s Companion, Nucl. Phys. B 808 (2009) 1 [arXiv:0807.3333] [SPIRES].ADSCrossRefGoogle Scholar
  19. [19]
    P. Di Vecchia, R. Marotta, I. Pesando and F. Pezzella, Open strings in the system D5/D9, J. Phys. A 44 (2011) 245401 [arXiv:1101.0120] [SPIRES].ADSGoogle Scholar
  20. [20]
    S. Sciuto, The General Vertex Function In Dual Resonance Models, Lett. Nuovo Cim. 2S1 (1969) 411 [SPIRES].CrossRefGoogle Scholar
  21. [21]
    A. Della Selva and S. Saito, A simple expression for the sciuto three-reggeon vertex-generating duality, Lett. Nuovo Cim. 4S1 (1970) 689 [SPIRES].CrossRefGoogle Scholar
  22. [22]
    E. Corrigan and D.B. Fairlie, Off-Shell States in Dual Resonance Theory, Nucl. Phys. B 91 (1975) 527 [SPIRES].ADSCrossRefGoogle Scholar
  23. [23]
    I. Pesando, Open and Closed String Vertices for branes with magnetic field and T-duality, JHEP 02 (2010) 064 [arXiv:0910.2576] [SPIRES].MathSciNetADSCrossRefGoogle Scholar
  24. [24]
    M. Billó, P. Di Vecchia and D. Cangemi, Boundary states for moving D-branes, Phys. Lett. B 400 (1997) 63 [hep-th/9701190] [SPIRES].ADSGoogle Scholar
  25. [25]
    M. Billó et al., Microscopic string analysis of the D0-D8 brane system and dual RR states, Nucl. Phys. B 526 (1998) 199 [hep-th/9802088] [SPIRES].ADSCrossRefGoogle Scholar
  26. [26]
    M. Billó and I. Pesando, Boundary states for GS superstrings in an Hpp wave background, Phys. Lett. B 536 (2002) 121 [hep-th/0203028] [SPIRES].ADSGoogle Scholar
  27. [27]
    C.P. Bachas and M.R. Gaberdiel, World-sheet duality for D-branes with travelling waves, JHEP 03 (2004) 015 [hep-th/0310017] [SPIRES].MathSciNetADSCrossRefGoogle Scholar
  28. [28]
    P. Di Vecchia and A. Liccardo, D-branes in string theory. 1, NATO Adv. Study Inst. Ser. C. Math. Phys. Sci. 556 (2000) 1 [hep-th/9912161] [SPIRES].Google Scholar
  29. [29]
    E.S. Fradkin and A.A. Tseytlin, Effective Field Theory from Quantized Strings, Phys. Lett. B 158 (1985) 316 [SPIRES].MathSciNetADSGoogle Scholar
  30. [30]
    A. Abouelsaood, C.G. Callan Jr., C.R. Nappi and S.A. Yost, Open Strings in Background Gauge Fields, Nucl. Phys. B 280 (1987) 599 [SPIRES].MathSciNetADSCrossRefGoogle Scholar
  31. [31]
    M. Bianchi and E. Trevigne, The open story of the magnetic fluxes, JHEP 08 (2005) 034 [hep-th/0502147] [SPIRES].MathSciNetADSCrossRefGoogle Scholar
  32. [32]
    I. Pesando, in preparation.Google Scholar
  33. [33]
    P. Di Vecchia, A. Liccardo, R. Marotta, F. Pezzella and I. Pesando, Boundary state for magnetized D9 branes and one-loop calculation, hep-th/0601067 [SPIRES].
  34. [34]
    I. Pesando, A comment on discrete Kalb-Ramond field on orientifold and rank reduction, Phys. Lett. B 668 (2008) 324 [arXiv:0804.3931] [SPIRES].MathSciNetADSGoogle Scholar
  35. [35]
    M. Bianchi, G. Pradisi and A. Sagnotti, Toroidal compactification and symmetry breaking in open string theories, Nucl. Phys. B 376 (1992) 365 [SPIRES].MathSciNetADSCrossRefGoogle Scholar
  36. [36]
    M. Bianchi and A. Sagnotti, Twist symmetry and open string Wilson lines, Nucl. Phys. B 361 (1991) 519 [SPIRES].MathSciNetADSCrossRefGoogle Scholar
  37. [37]
    M. Bianchi, A note on toroidal compactifications of the type-I superstring and other superstring vacuum configurations with 16 supercharges, Nucl. Phys. B 528 (1998) 73 [hep-th/9711201] [SPIRES].MathSciNetADSCrossRefGoogle Scholar
  38. [38]
    E.J. Ferrer and V. dela Incera, Mass eigenvalues of the open charged string in a magnetic background, Phys. Rev. D 52 (1995) 1011 [SPIRES].MathSciNetADSGoogle Scholar
  39. [39]
    M. Ademollo et al., Unified Dual Model for Interacting Open and Closed Strings, Nucl. Phys. B 77 (1974) 189 [SPIRES].ADSCrossRefGoogle Scholar
  40. [40]
    S. Hamidi and C. Vafa, Interactions on Orbifolds, Nucl. Phys. B 279 (1987) 465 [SPIRES].MathSciNetADSCrossRefGoogle Scholar
  41. [41]
    P. Di Vecchia, A. Liccardo, R. Marotta, I. Pesando and F. Pezzella, Wrapped Magnetized Branes: Two Alternative Descriptions?, JHEP 11 (2007) 100 [arXiv:0709.4149] [SPIRES].ADSCrossRefGoogle Scholar
  42. [42]
    I. Pesando, Multibranes boundary states with open string interactions, Nucl. Phys. B 793 (2008) 211 [hep-th/0310027] [SPIRES].MathSciNetADSCrossRefGoogle Scholar
  43. [43]
    I. Pesando, On the effective potential of the Dp Dp-bar system in type-II theories, Mod. Phys. Lett. A 14 (1999) 1545 [hep-th/9902181] [SPIRES].MathSciNetADSGoogle Scholar
  44. [44]
    I. Pesando, A κ gauge fixed type IIB superstring action on AdS 5 × S 5, JHEP 11 (1998) 002 [hep-th/9808020] [SPIRES].MathSciNetADSCrossRefGoogle Scholar
  45. [45]
    M.B. Green, Space-time duality and Dirichlet string theory, Phys. Lett. B 266 (1991) 325 [SPIRES].ADSGoogle Scholar
  46. [46]
    M. Frau, I. Pesando, S. Sciuto, A. Lerda and R. Russo, Scattering of closed strings from many D-branes, Phys. Lett. B 400 (1997) 52 [hep-th/9702037] [SPIRES].MathSciNetADSGoogle Scholar
  47. [47]
    M. Bertolini, M. Billó, A. Lerda, J.F. Morales and R. Russo, Brane world effective actions for D-branes with fluxes, Nucl. Phys. B 743 (2006) 1 [hep-th/0512067] [SPIRES].ADSCrossRefGoogle Scholar
  48. [48]
    M. Billó, M. Frau, L. Gallot, A. Lerda and I. Pesando, Classical solutions for exotic instantons?, JHEP 03 (2009) 056 [arXiv:0901.1666] [SPIRES].ADSCrossRefGoogle Scholar

Copyright information

© SISSA, Trieste, Italy 2011

Authors and Affiliations

  1. 1.Dipartimento di Fisica TeoricaUniversità di Torino and I.N.F.N. – sezione di TorinoTorinoItaly

Personalised recommendations