Abstract
We complete the construction of a gauge-invariant action for NS-NS superstring field theory in the large Hilbert space begun in arXiv:1305.3893 by giving a closedform expression for the action and nonlinear gauge transformations. The action has the WZW-like form and vertices are given by a pure-gauge solution of NS heterotic string field theory in the small Hilbert space of right movers.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
E. Witten, Noncommutative geometry and string field theory, Nucl. Phys. B 268 (1986) 253 [INSPIRE].
H. Hata, K. Itoh, T. Kugo, H. Kunitomo and K. Ogawa, Covariant string field theory, Phys. Rev. D 34 (1986) 2360 [INSPIRE].
H. Hata, K. Itoh, T. Kugo, H. Kunitomo and K. Ogawa, Loop amplitudes in covariant string field theory, Phys. Rev. D 35 (1987) 1356 [INSPIRE].
L. Álvarez-Gaumé, C. Gomez, G.W. Moore and C. Vafa, Strings in the operator formalism, Nucl. Phys. B 303 (1988) 455 [INSPIRE].
A. Sen, Equations of motion in nonpolynomial closed string field theory and conformal invariance of two-dimensional field theories, Phys. Lett. B 241 (1990) 350 [INSPIRE].
C. Schubert, The finite gauge transformations in closed string field theory, Lett. Math. Phys. 26 (1992) 259 [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].
M.R. Gaberdiel and B. Zwiebach, Tensor constructions of open string theories. 1: foundations, Nucl. Phys. B 505 (1997) 569 [hep-th/9705038] [INSPIRE].
E. Witten, Interacting field theory of open superstrings, Nucl. Phys. B 276 (1986) 291 [INSPIRE].
C. Wendt, Scattering amplitudes and contact interactions in Witten’s superstring field theory, Nucl. Phys. B 314 (1989) 209 [INSPIRE].
I.Y. Arefeva, P.B. Medvedev and A.P. Zubarev, New representation for string field solves the consistency problem for open superstring field theory, Nucl. Phys. B 341 (1990) 464 [INSPIRE].
C.R. Preitschopf, C.B. Thorn and S.A. Yost, Superstring field theory, Nucl. Phys. B 337 (1990) 363 [INSPIRE].
L. Álvarez-Gaumé, C. Gomez, P.C. Nelson, G. Sierra and C. Vafa, Fermionic strings in the operator formalism, Nucl. Phys. B 311 (1988) 333 [INSPIRE].
R. Saroja and A. Sen, Picture changing operators in closed fermionic string field theory, Phys. Lett. B 286 (1992) 256 [hep-th/9202087] [INSPIRE].
A. Belopolsky, New geometrical approach to superstrings, hep-th/9703183 [INSPIRE].
A. Belopolsky, Picture changing operators in supergeometry and superstring theory, hep-th/9706033 [INSPIRE].
B. Jurčo and K. Muenster, Type II superstring field theory: geometric approach and operadic description, JHEP 04 (2013) 126 [arXiv:1303.2323] [INSPIRE].
N. Berkovits, Super-Poincaré 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].
N. Berkovits, Y. Okawa and B. Zwiebach, WZW-like action for heterotic string field theory, JHEP 11 (2004) 038 [hep-th/0409018] [INSPIRE].
Y. Okawa and B. Zwiebach, Heterotic string field theory, JHEP 07 (2004) 042 [hep-th/0406212] [INSPIRE].
H. Matsunaga, Construction of a gauge-invariant action for type II superstring field theory, arXiv:1305.3893 [INSPIRE].
N. Berkovits, The Ramond sector of open superstring field theory, JHEP 11 (2001) 047 [hep-th/0109100] [INSPIRE].
Y. Michishita, A covariant action with a constraint and Feynman rules for fermions in open superstring field theory, JHEP 01 (2005) 012 [hep-th/0412215] [INSPIRE].
H. Kunitomo, The Ramond sector of heterotic string field theory, Prog. Theor. Exp. Phys. 2014 (2014) 043B01 [arXiv:1312.7197] [INSPIRE].
H. Kunitomo, First-order equations of motion for heterotic string field theory, arXiv:1407.0801 [INSPIRE].
D. Friedan, E.J. Martinec and S.H. Shenker, Conformal invariance, supersymmetry and string theory, Nucl. Phys. B 271 (1986) 93 [INSPIRE].
N. Berkovits and C.T. Echevarria, Four point amplitude from open superstring field theory, Phys. Lett. B 478 (2000) 343 [hep-th/9912120] [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, Resolving Witten’s superstring field theory, JHEP 04 (2014) 150 [arXiv:1312.2948] [INSPIRE].
T. Erler, S. Konopka and I. Sachs, NS-NS sector of closed superstring field theory, JHEP 08 (2014) 158 [arXiv:1403.0940] [INSPIRE].
J. Stasheff, Closed string field theory, strong homotopy Lie algebras and the operad actions of moduli space, in Perspectives in mathematical physics, R. Penner ed., (1994), pg. 265 [hep-th/9304061] [INSPIRE].
T. Kimura, J. Stasheff and A.A. Voronov, On operad structures of moduli spaces and string theory, Commun. Math. Phys. 171 (1995) 1 [hep-th/9307114] [INSPIRE].
E. Getzler, Lie theory for nilpotent L ∞ -algebras, math.AT/0404003.
S. Torii, Gauge fixing of open superstring field theory in the Berkovits non-polynomial formulation, Prog. Theor. Phys. Suppl. 188 (2011) 272 [arXiv:1201.1763] [INSPIRE].
S. Torii, Validity of gauge-fixing conditions and the structure of propagators in open superstring field theory, JHEP 04 (2012) 050 [arXiv:1201.1762] [INSPIRE].
M. Kroyter, Y. Okawa, M. Schnabl, S. Torii and B. Zwiebach, Open superstring field theory I: gauge fixing, ghost structure and propagator, JHEP 03 (2012) 030 [arXiv:1201.1761] [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: 1407.8485
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
Matsunaga, H. Nonlinear gauge invariance and WZW-like action for NS-NS superstring field theory. J. High Energ. Phys. 2015, 11 (2015). https://doi.org/10.1007/JHEP09(2015)011
Received:
Revised:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP09(2015)011