×
Erler, Theodore

Relating Berkovits and \(A_{\infty}\) superstring field theories; small Hilbert space perspective. (English) Zbl 1388.81519

J. High Energy Phys. 2015, No. 10, Paper No. 157, 52 p. (2015).
Summary: In a previous paper it was shown that the recently constructed action for open superstring field theory based on \(A_\infty\) 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 \(A_\infty\) structures on both sides.

Cited in 26 Documents

MSC:

81T30 String and superstring theories; other extended objects (e.g., branes) in quantum field theory

Keywords:

superstrings and heterotic strings; string field theory
Cite Review PDF
Full Text: DOI arXiv

References:

[1] T. Erler, S. Konopka and I. Sachs, Resolving Witten’s superstring field theory, JHEP04 (2014) 150 [arXiv:1312.2948] [INSPIRE]. · Zbl 1333.81326 · doi:10.1007/JHEP04(2014)150
[2] N. Berkovits, SuperPoincaré invariant superstring field theory, Nucl. Phys.B 450 (1995) 90 [Erratum ibid.B 459 (1996) 439] [hep-th/9503099] [INSPIRE]. · Zbl 1003.81519
[3] N. Berkovits, A new approach to superstring field theory, Fortsch. Phys.48 (2000) 31 [hep-th/9912121] [INSPIRE]. · Zbl 0976.81046 · doi:10.1002/(SICI)1521-3978(20001)48:1/3<31::AID-PROP31>3.0.CO;2-0
[4] T. Erler, Y. Okawa and T. Takezaki, A∞structure from the Berkovits formulation of open superstring field theory, arXiv:1505.01659 [INSPIRE]. · Zbl 1390.81426
[5] D. Friedan, E.J. Martinec and S.H. Shenker, Conformal invariance, supersymmetry and string theory, Nucl. Phys.B 271 (1986) 93 [INSPIRE]. · doi:10.1016/0550-3213(86)90356-1
[6] Y. Iimori, T. Noumi, Y. Okawa and S. Torii, From the Berkovits formulation to the Witten formulation in open superstring field theory, JHEP03 (2014) 044 [arXiv:1312.1677] [INSPIRE]. · Zbl 1333.81252 · doi:10.1007/JHEP03(2014)044
[7] T. Erler, S. Konopka and I. Sachs, N S-N S sector of closed superstring field theory, JHEP08 (2014) 158 [arXiv:1403.0940] [INSPIRE]. · Zbl 1333.81327 · doi:10.1007/JHEP08(2014)158
[8] H. Kajiura, Noncommutative homotopy algebras associated with open strings, Rev. Math. Phys.19 (2007) 1 [math/0306332] [INSPIRE]. · Zbl 1136.81399 · doi:10.1142/S0129055X07002912
[9] M.R. Gaberdiel and B. Zwiebach, Tensor constructions of open string theories. 1: Foundations, Nucl. Phys.B 505 (1997) 569 [hep-th/9705038] [INSPIRE]. · Zbl 0911.53044 · doi:10.1016/S0550-3213(97)00580-4
[10] N. Moeller and I. Sachs, Closed string cohomology in open string field theory, JHEP07 (2011) 022 [arXiv:1010.4125] [INSPIRE]. · Zbl 1298.81321 · doi:10.1007/JHEP07(2011)022
[11] B. Zwiebach, Closed string field theory: quantum action and the B-V master equation, Nucl. Phys.B 390 (1993) 33 [hep-th/9206084] [INSPIRE]. · doi:10.1016/0550-3213(93)90388-6
[12] D.J. Gross and A. Jevicki, Operator formulation of interacting string field theory, Nucl. Phys.B 283 (1987) 1 [INSPIRE].
[13] M. Kroyter, Democratic superstring field theory: gauge fixing, JHEP03 (2011) 081 [arXiv:1010.1662] [INSPIRE]. · Zbl 1301.81233 · doi:10.1007/JHEP03(2011)081
[14] T. Erler, Tachyon vacuum in cubic superstring field theory, JHEP01 (2008) 013 [arXiv:0707.4591] [INSPIRE]. · doi:10.1088/1126-6708/2008/01/013
[15] T. Erler, Analytic solution for tachyon condensation in Berkovits’ open superstring field theory, JHEP11 (2013) 007 [arXiv:1308.4400] [INSPIRE]. · doi:10.1007/JHEP11(2013)007
[16] T. Erler, Exotic universal solutions in cubic superstring field theory, JHEP04 (2011) 107 [arXiv:1009.1865] [INSPIRE]. · Zbl 1250.81082 · doi:10.1007/JHEP04(2011)107
[17] N. Berkovits, Y. Okawa and B. Zwiebach, WZW-like action for heterotic string field theory, JHEP11 (2004) 038 [hep-th/0409018] [INSPIRE]. · doi:10.1088/1126-6708/2004/11/038
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.