Abstract
We explore the entire form of S-Matrix elements of a potential C n−1 Ramond-Ramond (RR) form field, a tachyon and two transverse scalar fields on both world volume and transverse directions of type IIB and IIA superstring theories. Apart from \( \left\langle {V}_{C^{-2}}{V}_{\phi^0}{V}_{\phi^0}{V}_{T^0}\right\rangle \) the other scattering amplitude, namely \( \left\langle {V}_{C^{-1}}{V}_{\phi^{-1}}{V}_{\phi^0}{V}_{T^0}\right\rangle \) is also revealed. We then start to compare all singularity structures of symmetric and asymmetric analysis, generating all infinite singularity structures as well as all order α′ contact interactions on the whole directions. This leads to deriving various new contact terms and several new restricted Bianchi identities in both type IIB and IIA. It is also shown that just some of the new couplings of type IIB (IIA) string theory can be re-verified in an Effective Field Theory (EFT) by pull-back of branes. To construct the rest of S-matrix elements one needs to first derive restricted world volume (or bulk) Bianchi identities and then discover new EFT couplings in both type IIB and IIA. Finally the presence of commutator of scalar fields inside the exponential of Wess-Zumino action for non-BPS branes has been confirmed as well.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
J. Polchinski, Dirichlet branes and Ramond-Ramond charges, Phys. Rev. Lett. 75 (1995) 4724 [hep-th/9510017] [INSPIRE].
E. Witten, Bound states of strings and p-branes, Nucl. Phys. B 460 (1996) 335 [hep-th/9510135] [INSPIRE].
J. Polchinski, TASI lectures on D-branes, hep-th/9611050 [INSPIRE].
R.C. Myers, Dielectric branes, JHEP 12 (1999) 022 [hep-th/9910053] [INSPIRE].
E. Hatefi, Shedding light on new Wess-Zumino couplings with their corrections to all orders in alpha-prime, JHEP 04 (2013) 070 [arXiv:1211.2413] [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].
M. Li, Boundary states of D-branes and Dy strings, Nucl. Phys. B 460 (1996) 351 [hep-th/9510161] [INSPIRE].
M.R. Douglas, Branes within branes, hep-th/9512077 [INSPIRE].
E. Hatefi, On RR couplings, singularity structures and all order α′ contact interactions to BPS string amplitudes, JHEP 12 (2015) 124 [arXiv:1506.08802] [INSPIRE].
E. Hatefi, On bulk singularity structures and all order α′ contact terms of BPS string amplitudes, Phys. Lett. B 761 (2016) 287 [arXiv:1604.03514] [INSPIRE].
E. Hatefi, A.J. Nurmagambetov and I.Y. Park, ADM reduction of IIB on \( {\mathrm{\mathscr{H}}}^{p,q} \) to dS braneworld, JHEP 04 (2013) 170 [arXiv:1210.3825] [INSPIRE].
E. Hatefi, A.J. Nurmagambetov and I.Y. Park, N 3 entropy of M5 branes from dielectric effect, Nucl. Phys. B 866 (2013) 58 [arXiv:1204.2711] [INSPIRE].
S. de Alwis, R. Gupta, E. Hatefi and F. Quevedo, Stability, tunneling and flux changing de Sitter transitions in the large volume string scenario, JHEP 11 (2013) 179 [arXiv:1308.1222] [INSPIRE].
P.S. Howe, U. Lindström and L. Wulff, On the covariance of the Dirac-Born-Infeld-Myers action, JHEP 02 (2007) 070 [hep-th/0607156] [INSPIRE].
R.G. Leigh, Dirac-Born-Infeld action from Dirichlet σ-model, Mod. Phys. Lett. A 4 (1989) 2767 [INSPIRE].
M. Cederwall, A. von Gussich, B.E.W. Nilsson and A. Westerberg, The Dirichlet super three-brane in ten-dimensional type IIB supergravity, Nucl. Phys. B 490 (1997) 163 [hep-th/9610148] [INSPIRE].
M. Cederwall, A. von Gussich, B.E.W. Nilsson, P. Sundell and A. Westerberg, The Dirichlet super p-branes in ten-dimensional type IIA and IIB supergravity, Nucl. Phys. B 490 (1997) 179 [hep-th/9611159] [INSPIRE].
E. Bergshoeff and P.K. Townsend, Super D-branes, Nucl. Phys. B 490 (1997) 145 [hep-th/9611173] [INSPIRE].
B. Michel, E. Mintun, J. Polchinski, A. Puhm and P. Saad, Remarks on brane and antibrane dynamics, JHEP 09 (2015) 021 [arXiv:1412.5702] [INSPIRE].
E. Hatefi, On D-brane anti D-brane effective actions and their corrections to all orders in alpha-prime, JCAP 09 (2013) 011 [arXiv:1211.5538] [INSPIRE].
E. Hatefi, All order α′ higher derivative corrections to non-BPS branes of type IIB Super string theory, JHEP 07 (2013) 002 [arXiv:1304.3711] [INSPIRE].
M.R. Garousi and E. Hatefi, On Wess-Zumino terms of brane-antibrane systems, Nucl. Phys. B 800 (2008) 502 [arXiv:0710.5875] [INSPIRE].
E. Hatefi, On D-brane-anti D-brane effective actions and their all order bulk singularity structures, JCAP 04 (2016) 055 [arXiv:1601.06667] [INSPIRE].
C. Kennedy and A. Wilkins, Ramond-Ramond couplings on brane-anti-brane systems, Phys. Lett. B 464 (1999) 206 [hep-th/9905195] [INSPIRE].
E. Hatefi, SYM, Chern-Simons, Wess-Zumino couplings and their higher derivative corrections in IIA superstring theory, Eur. Phys. J. C 74 (2014) 2949 [arXiv:1403.1238] [INSPIRE].
E. Hatefi, More on Ramond-Ramond, SYM, WZ couplings and their corrections in IIA, Eur. Phys. J. C 74 (2014) 3116 [arXiv:1403.7167] [INSPIRE].
E. Hatefi, On higher derivative corrections to Wess-Zumino and tachyonic actions in type-II super string theory, Phys. Rev. D 86 (2012) 046003 [arXiv:1203.1329] [INSPIRE].
A. Sen and E. Witten, Filling the gaps with PCO’s, JHEP 09 (2015) 004 [arXiv:1504.00609] [INSPIRE].
E. Hatefi, Selection rules and RR couplings on non-BPS branes, JHEP 11 (2013) 204 [arXiv:1307.3520] [INSPIRE].
M. Bianchi, G. Pradisi and A. Sagnotti, Toroidal compactification and symmetry breaking in open string theories, Nucl. Phys. B 376 (1992) 365 [INSPIRE].
H. Liu and J. Michelson, ∗-trek 3: the search for Ramond-Ramond couplings, Nucl. Phys. B 614 (2001) 330 [hep-th/0107172] [INSPIRE].
L.A. Barreiro and R. Medina, RNS derivation of N -point disk amplitudes from the revisited S-matrix approach, Nucl. Phys. B 886 (2014) 870 [arXiv:1310.5942] [INSPIRE].
E. Hatefi, On RR couplings and bulk singularity structures of non-BPS branes, Phys. Lett. B 760 (2016) 509 [arXiv:1511.04971] [INSPIRE].
E. Hatefi, On singularity structure, new RR-string couplings in asymmetric picture and their all order α′ corrections, arXiv:1507.02641 [INSPIRE].
R. Medina, F.T. Brandt and F.R. Machado, The open superstring five point amplitude revisited, JHEP 07 (2002) 071 [hep-th/0208121] [INSPIRE].
E. Hatefi, super-Yang-Mills, Chern-Simons couplings and their all order α′ corrections in IIB superstring theory, Eur. Phys. J. C 74 (2014) 3003 [arXiv:1310.8308] [INSPIRE].
M.R. Garousi and E. Hatefi, More on WZ action of non-BPS branes, JHEP 03 (2009) 008 [arXiv:0812.4216] [INSPIRE].
E. Hatefi, Closed string Ramond-Ramond proposed higher derivative interactions on fermionic amplitudes in IIB, Nucl. Phys. B 880 (2014) 1 [arXiv:1302.5024] [INSPIRE].
E. Hatefi, Remarks on the mixed Ramond-Ramond, open string scattering amplitudes of BPS, non-BPS and brane-anti-brane, Eur. Phys. J. C 75 (2015) 517 [arXiv:1502.06536] [INSPIRE].
E. Hatefi, On effective actions of BPS branes and their higher derivative corrections, JHEP 05 (2010) 080 [arXiv:1003.0314] [INSPIRE].
E. Hatefi, On SYM theory and all order bulk singularity structures of BPS strings in type-II theory, arXiv:1603.05245 [INSPIRE].
E. Hatefi and I.Y. Park, More on closed string induced higher derivative interactions on D-branes, Phys. Rev. D 85 (2012) 125039 [arXiv:1203.5553] [INSPIRE].
I.Y. Park, One loop scattering on D-branes, Eur. Phys. J. C 62 (2009) 783 [arXiv:0801.0218] [INSPIRE].
A. Fotopoulos, On (α′)2 corrections to the D-brane action for nongeodesic world volume embeddings, JHEP 09 (2001) 005 [hep-th/0104146] [INSPIRE].
E. Hatefi and I.Y. Park, Universality in all-order α′ corrections to BPS/non-BPS brane world volume theories, Nucl. Phys. B 864 (2012) 640 [arXiv:1205.5079] [INSPIRE].
Open Access
This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
Author information
Authors and Affiliations
Corresponding author
Additional information
ArXiv ePrint: 1609.01385
Rights and permissions
Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (https://creativecommons.org/licenses/by/4.0), which permits use, duplication, adaptation, distribution, and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
About this article
Cite this article
Hatefi, E. Remarks on non-BPS string amplitudes and their all order α′ contact interactions in IIB, IIA. J. High Energ. Phys. 2017, 19 (2017). https://doi.org/10.1007/JHEP03(2017)019
Received:
Revised:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP03(2017)019