Abstract
Using the compatibility of the anomalous Chern-Simons couplings on D p -branes with the linear T-duality and with the antisymmetric B-field gauge transformations, some couplings have been recently found for C (p−3) at order O(α′2). We examine these couplings with the S-matrix element of one RR and two antisymmetric B-field vertex operators. We find that the S-matrix element reproduces these couplings as well as some other couplings. Each of them is invariant under the linear T-duality and the B-field gauge transformations.
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References
R.G. Leigh, Dirac-Born-Infeld Action from Dirichlet σ-model, Mod. Phys. Lett. A 4 (1989) 2767 [SPIRES].
C. Bachas, D-brane dynamics, Phys. Lett. B 374 (1996) 37 [hep-th/9511043] [SPIRES].
C.P. Bachas, P. Bain and M.B. Green, Curvature terms in D-brane actions and their M-theory origin, JHEP 05 (1999) 011 [hep-th/9903210] [SPIRES].
M.R. Garousi and R.C. Myers, Superstring Scattering from D-branes, Nucl. Phys. B 475 (1996) 193 [hep-th/9603194] [SPIRES].
A. Hashimoto and I.R. Klebanov, Decay of Excited D-branes, Phys. Lett. B 381 (1996) 437 [hep-th/9604065] [SPIRES].
M.R. Garousi, T-duality of Curvature terms in D-brane actions, JHEP 02 (2010) 002 [arXiv:0911.0255] [SPIRES].
N. Wyllard, Derivative corrections to D-brane actions with constant background fields, Nucl. Phys. B 598 (2001) 247 [hep-th/0008125] [SPIRES].
S.R. Das, S. Mukhi and N.V. Suryanarayana, Derivative corrections from noncommutativity, JHEP 08 (2001) 039 [hep-th/0106024] [SPIRES].
S. Mukhi and N.V. Suryanarayana, Open-string actions and noncommutativity beyond the large-B limit, JHEP 11 (2002) 002 [hep-th/0208203] [SPIRES].
J. Polchinski, Dirichlet-Branes and Ramond-Ramond Charges, Phys. Rev. Lett. 75 (1995) 4724 [hep-th/9510017] [SPIRES].
M.R. Douglas, Branes within branes, hep-th/9512077 [SPIRES].
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] [SPIRES].
Y.-K.E. Cheung and Z. Yin, Anomalies, branes and currents, Nucl. Phys. B 517 (1998) 69 [hep-th/9710206] [SPIRES].
R. Minasian and G.W. Moore, K-theory and Ramond-Ramond charge, JHEP 11 (1997) 002 [hep-th/9710230] [SPIRES].
B. Craps and F. Roose, Anomalous D-brane and orientifold couplings from the boundary state, Phys. Lett. B 445 (1998) 150 [hep-th/9808074] [SPIRES].
J.F. Morales, C.A. Scrucca and M. Serone, Anomalous couplings for D-branes and O-planes, Nucl. Phys. B 552 (1999) 291 [hep-th/9812071] [SPIRES].
B. Stefanski, Jr., Gravitational couplings of D-branes and O-planes, Nucl. Phys. B 548 (1999) 275 [hep-th/9812088] [SPIRES].
K. Becker, G. Guo and D. Robbins, Higher Derivative Brane Couplings from T-duality, JHEP 09 (2010) 029 [arXiv:1007.0441] [SPIRES].
M.R. Garousi, T-duality of anomalous Chern-Simons couplings, arXiv:1007.2118 [SPIRES].
M.R. Garousi, Ramond-Ramond field strength couplings on D-branes, JHEP 03 (2010) 126 [arXiv:1002.0903] [SPIRES].
T.H. Buscher, Quantum corrections and extended supersymmetry in new σ-models, Phys. Lett. B 159 (1985) 127 [SPIRES].
T.H. Buscher, A Symmetry of the String Background Field Equations, Phys. Lett. B 194 (1987) 59 [SPIRES].
T.H. Buscher, Path Integral Derivation of Quantum Duality in Nonlinear σ-models, Phys. Lett. B 201 (1988) 466 [SPIRES].
P. Meessen and T. Ortín, An Sl(2,Z) multiplet of nine-dimensional type-II supergravity theories, Nucl. Phys. B 541 (1999) 195 [hep-th/9806120] [SPIRES].
E. Bergshoeff, C.M. Hull and T. Ortín, Duality in the type-II superstring effective action, Nucl. Phys. B 451 (1995) 547 [hep-th/9504081] [SPIRES].
E. Bergshoeff, M. de Roo, M.B. Green, G. Papadopoulos and P.K. Townsend, Duality of Type II 7-branes and 8-branes, Nucl. Phys. B 470 (1996) 113 [hep-th/9601150] [SPIRES].
S.F. Hassan, T-duality, space-time spinors and RR fields in curved backgrounds, Nucl. Phys. B 568 (2000) 145 [hep-th/9907152] [SPIRES].
M.R. Garousi and M. Mir, On RR couplings on D-branes at order O(α′2), JHEP 02 (2011) 008 [arXiv:1012.2747] [SPIRES].
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].
H. Liu and J . Michelson, *-trek III: The search for Ramond-Ramond couplings, Nucl. Phys. B 614 (2001) 330 [hep-th/0107172] [SPIRES].
M.B. Green and N. Seiberg, Contact Interactions In Superstring Theory, Nucl. Phys. B 299 (1988) 559 [SPIRES].
M.R. Garousi, Disk level S-matrix elements at eikonal Regge limit, Phys. Lett. B 696 (2011) 291 [arXiv:1010.4950] [SPIRES].
T. Huber and D. Maître, HypExp, a Mathematica package for expanding hypergeometric functions around integer-valued parameters, Comput. Phys. Commun. 175 (2006) 122 [hep-ph/0507094] [SPIRES].
I.S. Gradshteyn and I.M. Ryzhik, Table of Integrals, Series and Products, Academic Press, San Diego U.S.A. (1994).
M.R. Garousi and R.C. Myers, World-volume interactions on D-branes, Nucl. Phys. B 542 (1999) 73 [hep-th/9809100] [SPIRES].
A. Fotopoulos, On (α′)2 corrections to the D-brane action for non-geodesic world-volume embeddings, JHEP 09 (2001) 005 [hep-th/0104146] [SPIRES].
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ArXiv ePrint: 1102.5510
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Garousi, M.R., Mir, M. Towards extending the Chern-Simons couplings at order O(α′2). J. High Energ. Phys. 2011, 66 (2011). https://doi.org/10.1007/JHEP05(2011)066
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DOI: https://doi.org/10.1007/JHEP05(2011)066