Abstract
We study in detail the procedure for obtaining couplings of D-branes to closed string fields by evaluating string theory disc amplitudes. We perform a careful construction of the relevant vertex operators and discuss the effects of inserting the boundary state which encodes the presence of the D-brane. We confront the issue of non-decoupling of BRSTexact states and prove that the problem is evaded for the computations we need, thus demonstrating that our amplitudes are automatically gauge-invariant and independent of the distribution of picture charge. Finally, we compute explicitly the two-point amplitudes of two NS-NS fields or one NS-NS and one R-R field on the disc, and we carefully compare all the lowest order terms with predictions from supergravity.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
K. Becker and M. Becker, M theory on eight manifolds, Nucl. Phys. B 477 (1996) 155 [hep-th/9605053] [INSPIRE].
K. Dasgupta, G. Rajesh and S. Sethi, M theory, orientifolds and G-flux, JHEP 08 (1999) 023 [hep-th/9908088] [INSPIRE].
M.B. Green, J.A. Harvey and G.W. Moore, I-brane inflow and anomalous couplings on D-branes, Class. Quant. Grav. 14 (1997) 47 [hep-th/9605033] [INSPIRE].
Y.-K.E. Cheung and Z. Yin, Anomalies, branes and currents, Nucl. Phys. B 517 (1998) 69 [hep-th/9710206] [INSPIRE].
R. Minasian and G.W. Moore, K theory and Ramond-Ramond charge, JHEP 11 (1997) 002 [hep-th/9710230] [INSPIRE].
B. Stefanski Jr., Gravitational couplings of D-branes and O-planes, Nucl. Phys. B 548 (1999) 275 [hep-th/9812088] [INSPIRE].
B. Craps and F. Roose, Anomalous D-brane and orientifold couplings from the boundary state, Phys. Lett. B 445 (1998) 150 [hep-th/9808074] [INSPIRE].
C.A. Scrucca and M. Serone, Anomalies and inflow on D-branes and O-planes, Nucl. Phys. B 556 (1999) 197 [hep-th/9903145] [INSPIRE].
K. Becker, G. Guo and D. Robbins, Higher derivative brane couplings from T-duality, JHEP 09 (2010) 029 [arXiv:1007.0441] [INSPIRE].
K. Becker, G. Guo and D. Robbins, Four-Derivative Brane Couplings from String Amplitudes, arXiv:1110.3831 [INSPIRE].
M.R. Garousi, T-duality of curvature terms in D-brane actions, JHEP 02 (2010) 002 [arXiv:0911.0255] [INSPIRE].
M.R. Garousi, Ramond-Ramond field strength couplings on D-branes, JHEP 03 (2010) 126 [arXiv:1002.0903] [INSPIRE].
M.R. Garousi and M. Mir, On RR couplings on D-branes at order O(α ′2), JHEP 02 (2011) 008 [arXiv:1012.2747] [INSPIRE].
M.R. Garousi and M. Mir, Towards extending the Chern-Simons couplings at order O(α ′2), JHEP 05 (2011) 066 [arXiv:1102.5510] [INSPIRE].
M.R. Garousi, S-duality of D-brane action at order O(α ′2), Phys. Lett. B 701 (2011) 465 [arXiv:1103.3121] [INSPIRE].
D. Lüst, P. Mayr, R. Richter and S. Stieberger, Scattering of gauge, matter and moduli fields from intersecting branes, Nucl. Phys. B 696 (2004) 205 [hep-th/0404134] [INSPIRE].
M. Berg, M. Haack and B. Körs, String loop corrections to Kähler potentials in orientifolds, JHEP 11 (2005) 030 [hep-th/0508043] [INSPIRE].
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] [INSPIRE].
M. Billó, L. Ferro, M. Frau, F. Fucito, A. Lerda and J.F. Morales, Flux interactions on D-branes and instantons, JHEP 10 (2008) 112 [arXiv:0807.1666] [INSPIRE].
C.G. Callan Jr., C. Lovelace, C. Nappi and S. Yost, String loop corrections to β-functions, Nucl. Phys. B 288 (1987) 525 [INSPIRE].
V. Kostelecky, O. Lechtenfeld and S. Samuel, Covariant string amplitudes on exotic topologies to one loop, Nucl. Phys. B 298 (1988) 133 [INSPIRE].
M. Billó, P. Di Vecchia and D. Cangemi, Boundary states for moving D-branes, Phys. Lett. B 400 (1997) 63 [hep-th/9701190] [INSPIRE].
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] [INSPIRE].
P. Di Vecchia, M. Frau, I. Pesando, S. Sciuto, A. Lerda and R. Russo, Classical p-branes from boundary state, Nucl. Phys. B 507 (1997) 259 [hep-th/9707068] [INSPIRE].
D. Friedan, E.J. Martinec and S.H. Shenker, Conformal Invariance, Supersymmetry and String Theory, Nucl. Phys. B 271 (1986) 93 [INSPIRE].
C. Vafa, Operator formulation on Riemann surfaces, Phys. Lett. B 190 (1987) 47 [INSPIRE].
L. Álvarez-Gaumé, C. Gomez, G.W. Moore and C. Vafa, Strings in the operator formalism, Nucl. Phys. B 303 (1988) 455 [INSPIRE].
B. Zwiebach, Constraints on covariant theories for closed string fields, Annals Phys. 186 (1988) 111 [INSPIRE].
P.C. Nelson, Covariant insertion of general vertex operators, Phys. Rev. Lett. 62 (1989) 993 [INSPIRE].
H.-S. La and P.C. Nelson, Effective field equations for fermionic strings, Nucl. Phys. B 332 (1990) 83 [INSPIRE].
J. Distler and P.C. Nelson, Topological couplings and contact terms in 2-D field theory, Commun. Math. Phys. 138 (1991) 273 [INSPIRE].
E. Witten and B. Zwiebach, Algebraic structures and differential geometry in 2-D string theory, Nucl. Phys. B 377 (1992) 55 [hep-th/9201056] [INSPIRE].
N. Berkovits and B. Zwiebach, On the picture dependence of Ramond-Ramond cohomology, Nucl. Phys. B 523 (1998) 311 [hep-th/9711087] [INSPIRE].
B.H. Lian and G.J. Zuckerman, BRST cohomology of the supervirasoro algebras, Commun. Math. Phys. 125 (1989) 301 [INSPIRE].
I. Frenkel, H. Garland and G. Zuckerman, Semiinfinite cohomology and string theory, Proc. Nat. Acad. Sci. 83 (1986) 8442 [INSPIRE].
J. Polchinski, String theory. Volume 2: Superstring theory and beyond, Cambridge University Press (1998).
M. Billó et al., Microscopic string analysis of the D0-D8-brane system and dual R-R states, Nucl. Phys. B 526 (1998) 199 [hep-th/9802088] [INSPIRE].
H. Liu and J. Michelson, ∗-trek 3: The Search for Ramond-Ramond couplings, Nucl. Phys. B 614 (2001) 330 [hep-th/0107172] [INSPIRE].
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] [INSPIRE].
S.S. Gubser, A. Hashimoto, I.R. Klebanov and J.M. Maldacena, Gravitational lensing by p-branes, Nucl. Phys. B 472 (1996) 231 [hep-th/9601057] [INSPIRE].
M.R. Garousi and R.C. Myers, Superstring scattering from D-branes, Nucl. Phys. B 475 (1996) 193 [hep-th/9603194] [INSPIRE].
A. Hashimoto and I.R. Klebanov, Decay of excited D-branes, Phys. Lett. B 381 (1996) 437 [hep-th/9604065] [INSPIRE].
A. Hashimoto and I.R. Klebanov, Scattering of strings from D-branes, Nucl. Phys. Proc. Suppl. 55B (1997) 118 [hep-th/9611214] [INSPIRE].
E. Bergshoeff, R. Kallosh, T. Ortín, D. Roest and A. Van Proeyen, New formulations of D = 10 supersymmetry and D8-O8 domain walls, Class. Quant. Grav. 18 (2001) 3359 [hep-th/0103233] [INSPIRE].
B. Craps, D-branes and boundary states in closed string theories, Ph.D. Thesis (Advisor: W. Troost), hep-th/0004198 [INSPIRE].
Author information
Authors and Affiliations
Corresponding author
Additional information
ArXiv ePrint: 1106.3307
Rights and permissions
About this article
Cite this article
Becker, K., Guo, G. & Robbins, D. Disc amplitudes, picture changing and space-time actions. J. High Energ. Phys. 2012, 127 (2012). https://doi.org/10.1007/JHEP01(2012)127
Received:
Revised:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP01(2012)127