In its traditional form, the string field in closed string field theory is constrained by the level-matching condition, which is imposed beside the action. By analogy with the similar problem for the Ramond sector, it was understood by Okawa and Sakaguchi how to lift this condition and work with unconstrained field by introducing spurious free fields. These authors also pointed out that new backgrounds may exist thanks to a new gauge field which is trivial on flat space, but can generate fluxes on a toroidal background. In this paper, we perform a complete study of the free theory at the tachyonic and massless levels with the aim of setting the stage for studying backgrounds without level-matching.
Similar content being viewed by others
P.C. Nelson, Covariant Insertion of General Vertex Operators, Phys. Rev. Lett. 62 (1989) 993 [INSPIRE].
H.-S. La and P.C. Nelson, Effective Field Equations for Fermionic Strings, Nucl. Phys. B 332 (1990) 83 [INSPIRE].
J. Distler and P.C. Nelson, Topological couplings and contact terms in 2-d field theory, Commun. Math. Phys. 138 (1991) 273 [INSPIRE].
H. Erbin, String Field Theory: A Modern Introduction, Lect. Notes Phys. 980 (2021) 1 [INSPIRE].
K. Peeters, Cadabra2: computer algebra for field theory revisited, J. Open Source Softw. 3 (2018) 1118 [INSPIRE].
A. Sen, Massless RR Sector in Superstring Field Theory, 22 September 2021 [https://indico.cern.ch/event/1042834/contributions/4487406/attachments/2314312/3940259/sen_rr_masses.pdf].
S.F. Moosavian and R. Pius, Hyperbolic geometry and closed bosonic string field theory. Part II. The rules for evaluating the quantum BV master action, JHEP 08 (2019) 177 [arXiv:1708.04977] [INSPIRE].
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
ArXiv ePrint: 2209.05585
About this article
Cite this article
Erbin, H., Médevielle, M. Closed string theory without level-matching at the free level. J. High Energ. Phys. 2023, 91 (2023). https://doi.org/10.1007/JHEP03(2023)091