Abstract
We extend the recently constructed NS superstring field theories in the small Hilbert space to give classical field equations for all superstring theories, including Ramond sectors. We also comment on the realization of supersymmetry in this framework.
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References
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].
D. Friedan, E.J. Martinec and S.H. Shenker, Conformal Invariance, Supersymmetry and String Theory, Nucl. Phys. B 271 (1986) 93 [INSPIRE].
N. Berkovits, The Ramond sector of open superstring field theory, JHEP 11 (2001) 047 [hep-th/0109100] [INSPIRE].
B. Jurčo and K. Muenster, Type II Superstring Field Theory: Geometric Approach and Operadic Description, JHEP 04 (2013) 126 [arXiv:1303.2323] [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].
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].
T. Erler, Relating Berkovits and A ∞ Superstring Field Theories; Small Hilbert Space Perspective, JHEP 10 (2015) 157 [arXiv:1505.02069] [INSPIRE].
H. Kunitomo, The Ramond Sector of Heterotic String Field Theory, PTEP 2014 (2014) 043B01 [arXiv:1312.7197] [INSPIRE].
H. Kunitomo, First-Order Equations of Motion for Heterotic String Field Theory, PTEP 2014 (2014) 093B07 [arXiv:1407.0801] [INSPIRE].
E. Witten, Noncommutative Geometry and String Field Theory, Nucl. Phys. B 268 (1986) 253 [INSPIRE].
J. Polchinski, String theory. Volume 2: superstring theory and beyond, University Press, Cambridge U.K. (1998), pg. 1-531.
P. Deligne and D.S. Freed, Sign Manifesto, in Quantum fields and strings: A course for mathematicians. Volumes 1, 2, P. Deligne et al. eds., AMS, Providence U.S.A. (1999), pg 1-1501.
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].
S. Konopka, The S-Matrix of superstring field theory, arXiv:1507.08250 [INSPIRE].
B. Zwiebach, Oriented open-closed string theory revisited, Annals Phys. 267 (1998) 193 [hep-th/9705241] [INSPIRE].
M. Saadi and B. Zwiebach, Closed String Field Theory from Polyhedra, Annals Phys. 192 (1989) 213 [INSPIRE].
M. Kroyter, Superstring field theory in the democratic picture, Adv. Theor. Math. Phys. 15 (2011) 741 [arXiv:0911.2962] [INSPIRE].
N. Berkovits, SuperPoincaré invariant superstring field theory, Nucl. Phys. B 450 (1995) 90 [hep-th/9503099] [INSPIRE].
N. Berkovits, A New approach to superstring field theory, Fortsch. Phys. 48 (2000) 31 [hep-th/9912121] [INSPIRE].
M. Kroyter, Democratic Superstring Field Theory: Gauge Fixing, JHEP 03 (2011) 081 [arXiv:1010.1662] [INSPIRE].
C.R. Preitschopf, C.B. Thorn and S.A. Yost, Superstring field theory, Nucl. Phys. B 337 (1990) 363 [INSPIRE].
I. Ya. 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].
T. Erler, Marginal solutions for the superstring, JHEP 07 (2007) 050 [arXiv:0704.0930] [INSPIRE].
Y. Okawa, Analytic solutions for marginal deformations in open superstring field theory, JHEP 09 (2007) 084 [arXiv:0704.0936] [INSPIRE].
Y. Okawa, Comments on Schnabl’s analytic solution for tachyon condensation in Witten’s open string field theory, JHEP 04 (2006) 055 [hep-th/0603159] [INSPIRE].
T. Erler and M. Schnabl, A Simple Analytic Solution for Tachyon Condensation, JHEP 10 (2009) 066 [arXiv:0906.0979] [INSPIRE].
T. Erler and C. Maccaferri, String Field Theory Solution for Any Open String Background, JHEP 10 (2014) 029 [arXiv:1406.3021] [INSPIRE].
M. Kiermaier and Y. Okawa, General marginal deformations in open superstring field theory, JHEP 11 (2009) 042 [arXiv:0708.3394] [INSPIRE].
T. Erler, Analytic solution for tachyon condensation in Berkovits‘ open superstring field theory, JHEP 11 (2013) 007 [arXiv:1308.4400] [INSPIRE].
H. Kunitomo, Symmetries and Feynman rules for the Ramond sector in open superstring field theory, PTEP 2015 (2015) 033B11 [arXiv:1412.5281] [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].
A. Sen, Gauge Invariant 1PI Effective Action for Superstring Field Theory, JHEP 06 (2015) 022 [arXiv:1411.7478] [INSPIRE].
E.P. Verlinde and H.L. Verlinde, Multiloop Calculations in Covariant Superstring Theory, Phys. Lett. B 192 (1987) 95 [INSPIRE].
A. Sen, Off-shell Amplitudes in Superstring Theory, Fortsch. Phys. 63 (2015) 149 [arXiv:1408.0571] [INSPIRE].
A. Sen and E. Witten, Filling the gaps with PCO’s, JHEP 09 (2015) 004 [arXiv:1504.00609] [INSPIRE].
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ArXiv ePrint: 1506.05774
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Erler, T., Konopka, S. & Sachs, I. Ramond equations of motion in superstring field theory. J. High Energ. Phys. 2015, 199 (2015). https://doi.org/10.1007/JHEP11(2015)199
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DOI: https://doi.org/10.1007/JHEP11(2015)199