Abstract
We evaluate the string theory disc amplitude of one Ramond-Ramond field C (p−3) and two Neveu-Schwarz B-fields in the presence of a single Dp-brane in type II string theory. From this amplitude we extract the four-derivative (or equivalently order α′2) part of the Dp-brane action involving these fields. We show that the new couplings are invariant under R-R and NS-NS gauge transformations and compatible with linear T-duality.
Similar content being viewed by others
References
K. Becker, G. Guo and D. Robbins, Higher Derivative Brane Couplings from T-duality, JHEP 09 (2010) 029 [arXiv:1007.0441] [INSPIRE].
E. Bergshoeff and M. De Roo, D-branes and T duality, Phys. Lett. B 380 (1996) 265 [arXiv:hep-th/9603123] [INSPIRE].
E. Alvarez, J. Barbon and J. Borlaf, T duality for open strings, Nucl. Phys. B 479 (1996) 218 [arXiv:hep-th/9603089] [INSPIRE].
R.C. Myers, Dielectric branes, JHEP 12 (1999) 022 [arXiv:hep-th/9910053] [INSPIRE].
K. Becker, G. Guo and D. Robbins, Disc amplitudes, picture changing and space-time actions, arXiv:1106.3307 [INSPIRE].
M. Bershadsky, C. Vafa and V. Sadov, D-branes and topological field theories, Nucl. Phys. B 463 (1996)420 [arXiv:hep-th/9511222] [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 [arXiv:hep-th/9605033] [INSPIRE].
B. Craps and F. Roose, Anomalous D-brane and orientifold couplings from the boundarystate, Phys. Lett. B 445 (1998) 150 [arXiv:hep-th/9808074] [INSPIRE].
B. Craps and F. Roose, (Non)anomalous D-brane and O-plane couplings: The Normal bundle, Phys. Lett. B 450 (1999) 358 [arXiv:hep-th/9812149] [INSPIRE].
J.F. Morales, C.A. Scrucca and M. Serone, Anomalous couplings for D-branes and O-planes, Nucl. Phys. B 552 (1999) 291 [arXiv:hep-th/9812071] [INSPIRE].
C.A. Scrucca and M. Serone, Anomalies and inflow on D-branes and O-planes, Nucl. Phys. B 556 (1999) 197 [arXiv:hep-th/9903145] [INSPIRE].
B. Stefanski Jr., Gravitational couplings of D-branes and O-planes, Nucl. Phys. B 548 (1999)275 [arXiv:hep-th/9812088] [INSPIRE].
C.P. Bachas, P. Bain and M.B. Green, Curvature terms in D-brane actions and their M-theory origin, JHEP 05 (1999) 011 [arXiv:hep-th/9903210] [INSPIRE].
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].
V. Kostelecky, O. Lechtenfeld and S. Samuel, Covariant string amplitudes on exotic topologies to one loop, Nucl. Phys. B 298 (1988) 133 [INSPIRE].
S.S. Gubser, A. Hashimoto, I.R. Klebanov and J.M. Maldacena, Gravitational lensing by p-branes, Nucl. Phys. B 472 (1996) 231 [arXiv:hep-th/9601057] [INSPIRE].
M.R. Garousi and R.C. Myers, Superstring scattering from D-branes, Nucl. Phys. B 475 (1996)193 [arXiv:hep-th/9603194] [INSPIRE].
A. Hashimoto and I.R. Klebanov, Decay of excited D-branes, Phys. Lett. B 381 (1996) 437 [arXiv:hep-th/9604065] [INSPIRE].
A. Hashimoto and I.R. Klebanov, Scattering of strings from D-branes, Nucl. Phys. Proc. Suppl. 55B (1997) 118 [arXiv:hep-th/9611214] [INSPIRE].
M.R. Garousi, Ramond-Ramond field strength couplings on D-branes, JHEP 03 (2010) 126 [arXiv:1002.0903] [INSPIRE].
N. Wyllard, Derivative corrections to D-brane actions with constant background fields, Nucl. Phys. B 598 (2001) 247 [arXiv:hep-th/0008125] [INSPIRE].
N. Wyllard, Derivative corrections to the D-brane Born-Infeld action: Nongeodesic embeddings and the Seiberg-Witten map, JHEP 08 (2001) 027 [arXiv:hep-th/0107185] [INSPIRE].
K. Becker, G. Guo and D. Robbins, Complete four-derivative corrections to D-brane actions, work in progress.
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].
S. Stieberger, Open & Closed vs. Pure Open String Disk Amplitudes, arXiv:0907.2211 [INSPIRE].
Author information
Authors and Affiliations
Corresponding author
Additional information
ArXiv ePrint: 1110.3831
Rights and permissions
About this article
Cite this article
Becker, K., Guo, G. & Robbins, D. Four-derivative brane couplings from string amplitudes. J. High Energ. Phys. 2011, 50 (2011). https://doi.org/10.1007/JHEP12(2011)050
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP12(2011)050