Abstract
We realize the 16 unbroken supersymmetries on a BPS D-brane as invariances of the action of the corresponding open superstring field theory. We work in the small Hilbert space approach, where a symmetry of the action translates into a symmetry of the associated cyclic A ∞ structure. We compute the supersymmetry algebra, being careful to disentangle the components which produce a translation, a gauge transformation, and a symmetry transformation which vanishes on-shell. Via the minimal model theorem, we illustrate how supersymmetry of the action implies supersymmetry of the tree level open string scattering amplitudes.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
H. Kunitomo and Y. Okawa, Complete action for open superstring field theory, Prog. Theor. Exp. Phys. 2016 (2016) 023B01 [arXiv:1508.00366] [INSPIRE].
S. Konopka and I. Sachs, Open superstring field theory on the restricted Hilbert space, JHEP 04 (2016) 164 [arXiv:1602.02583] [INSPIRE].
T. Erler, Y. Okawa and T. Takezaki, Complete action for open superstring field theory with cyclic A ∞ structure, JHEP 08 (2016) 012 [arXiv:1602.02582] [INSPIRE].
T. Erler, Superstring field theory and the Wess-Zumino-Witten action, in preparation.
H. Kunitomo, Space-time supersymmetry in WZW-like open superstring field theory, Prog. Theor. Exp. Phys. 2017 (2017) 043B04 [arXiv:1612.08508] [INSPIRE].
A. Sen, Supersymmetry restoration in superstring perturbation theory, JHEP 12 (2015) 075 [arXiv:1508.02481] [INSPIRE].
E. Witten, Superstring perturbation theory revisited, arXiv:1209.5461 [INSPIRE].
A. Sen and B. Zwiebach, A proof of local background independence of classical closed string field theory, Nucl. Phys. B 414 (1994) 649 [hep-th/9307088] [INSPIRE].
T. Erler, Analytic solution for tachyon condensation in Berkovits’ open superstring field theory, JHEP 11 (2013) 007 [arXiv:1308.4400] [INSPIRE].
T. Erler and C. Maccaferri, String field theory solution for any open string background, JHEP 10 (2014) 029 [arXiv:1406.3021] [INSPIRE].
D. Friedan, E.J. Martinec and S.H. Shenker, Conformal invariance, supersymmetry and string theory, Nucl. Phys. B 271 (1986) 93 [INSPIRE].
T. Erler, Relating Berkovits and A ∞ superstring field theories; small Hilbert space perspective, JHEP 10 (2015) 157 [arXiv:1505.02069] [INSPIRE].
T. Erler, S. Konopka and I. Sachs, Ramond equations of motion in superstring field theory, JHEP 11 (2015) 199 [arXiv:1506.05774] [INSPIRE].
A. Sen, Gauge invariant 1PI effective superstring field theory: inclusion of the Ramond sector, JHEP 08 (2015) 025 [arXiv:1501.00988] [INSPIRE].
T. Erler, Y. Okawa and T. Takezaki, A ∞ structure from the Berkovits formulation of open superstring field theory, arXiv:1505.01659 [INSPIRE].
N. Berkovits, The Ramond sector of open superstring field theory, JHEP 11 (2001) 047 [hep-th/0109100] [INSPIRE].
J. Polchinski, String theory. Vol. 2: superstring theory and beyond, Cambridge Univ. Pr., Cambridge U.K., (1998) [INSPIRE].
H. Matsunaga, Comments on complete actions for open superstring field theory, JHEP 11 (2016) 115 [arXiv:1510.06023] [INSPIRE].
T. Erler, Relating Berkovits and A ∞ superstring field theories; large Hilbert space perspective, JHEP 02 (2016) 121 [arXiv:1510.00364] [INSPIRE].
T. Erler, S. Konopka and I. Sachs, Resolving Witten’s superstring field theory, JHEP 04 (2014) 150 [arXiv:1312.2948] [INSPIRE].
N. Moeller and I. Sachs, Closed string cohomology in open string field theory, JHEP 07 (2011) 022 [arXiv:1010.4125] [INSPIRE].
H. Kajiura, Noncommutative homotopy algebras associated with open strings, Rev. Math. Phys. 19 (2007) 1 [math/0306332] [INSPIRE].
M. Kontsevich, Deformation quantization of Poisson manifolds. 1, Lett. Math. Phys. 66 (2003) 157 [q-alg/9709040] [INSPIRE].
S. Konopka, The S-matrix of superstring field theory, JHEP 11 (2015) 187 [arXiv:1507.08250] [INSPIRE].
K. Ohmori and Y. Okawa, Open superstring field theory based on the supermoduli space, arXiv:1703.08214 [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: 1610.03251
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
Erler, T. Supersymmetry in open superstring field theory. J. High Energ. Phys. 2017, 113 (2017). https://doi.org/10.1007/JHEP05(2017)113
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP05(2017)113