Abstract
In a previous paper it was shown that the recently constructed action for open superstring field theory based on A ∞ algebras can be re-written in Wess-Zumino-Witten-like form, thus establishing its relation to Berkovits’ open superstring field theory. In this paper we explain the relation between these two theories from a different perspective which emphasizes the small Hilbert space, and in particular the relation between the A ∞ structures on both sides.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
T. Erler, S. Konopka and I. Sachs, Resolving Witten’s superstring field theory, JHEP 04 (2014) 150 [arXiv:1312.2948] [INSPIRE].
N. Berkovits, SuperPoincaré invariant superstring field theory, Nucl. Phys. B 450 (1995) 90 [Erratum ibid. B 459 (1996) 439] [hep-th/9503099] [INSPIRE].
N. Berkovits, A new approach to superstring field theory, Fortsch. Phys. 48 (2000) 31 [hep-th/9912121] [INSPIRE].
T. Erler, Y. Okawa and T. Takezaki, A ∞ structure from the Berkovits formulation of open superstring field theory, arXiv:1505.01659 [INSPIRE].
D. Friedan, E.J. Martinec and S.H. Shenker, Conformal invariance, supersymmetry and string theory, Nucl. Phys. B 271 (1986) 93 [INSPIRE].
Y. Iimori, T. Noumi, Y. Okawa and S. Torii, From the Berkovits formulation to the Witten formulation in open superstring field theory, JHEP 03 (2014) 044 [arXiv:1312.1677] [INSPIRE].
T. Erler, S. Konopka and I. Sachs, N S-N S sector of closed superstring field theory, JHEP 08 (2014) 158 [arXiv:1403.0940] [INSPIRE].
H. Kajiura, Noncommutative homotopy algebras associated with open strings, Rev. Math. Phys. 19 (2007) 1 [math/0306332] [INSPIRE].
M.R. Gaberdiel and B. Zwiebach, Tensor constructions of open string theories. 1: Foundations, Nucl. Phys. B 505 (1997) 569 [hep-th/9705038] [INSPIRE].
N. Moeller and I. Sachs, Closed string cohomology in open string field theory, JHEP 07 (2011) 022 [arXiv:1010.4125] [INSPIRE].
B. Zwiebach, Closed string field theory: quantum action and the B-V master equation, Nucl. Phys. B 390 (1993) 33 [hep-th/9206084] [INSPIRE].
D.J. Gross and A. Jevicki, Operator formulation of interacting string field theory, Nucl. Phys. B 283 (1987) 1 [INSPIRE].
M. Kroyter, Democratic superstring field theory: gauge fixing, JHEP 03 (2011) 081 [arXiv:1010.1662] [INSPIRE].
T. Erler, Tachyon vacuum in cubic superstring field theory, JHEP 01 (2008) 013 [arXiv:0707.4591] [INSPIRE].
T. Erler, Analytic solution for tachyon condensation in Berkovits’ open superstring field theory, JHEP 11 (2013) 007 [arXiv:1308.4400] [INSPIRE].
T. Erler, Exotic universal solutions in cubic superstring field theory, JHEP 04 (2011) 107 [arXiv:1009.1865] [INSPIRE].
N. Berkovits, Y. Okawa and B. Zwiebach, WZW-like action for heterotic string field theory, JHEP 11 (2004) 038 [hep-th/0409018] [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: 1505.02069
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. Relating Berkovits and A ∞ superstring field theories; small Hilbert space perspective. J. High Energ. Phys. 2015, 157 (2015). https://doi.org/10.1007/JHEP10(2015)157
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP10(2015)157