358
17 Superstring
The η 0 gauge invariance can be fixed with the condition
ξ 0 | 0 = 0,
(17.84)
and one can introduce a new field −1 such that
| 0 = ξ 0 | −1
(17.85)
to satisfy automatically the condition. The equation of motion becomes
Q B | −1 = 0,
(17.86)
and one recovers the small Hilbert space formulation.
17.4 Suggested Readings
• General reviews [2, 7, sec. 6].
• Spurious poles and vertical integration:
– small Hilbert space [2, app. C, D, 28, 31];
– large Hilbert space [8]
• Constructions of super-SFT:
– “Sen’s” amplitude factorization construction [2, 25–27, 29, 30];
– “Munich” homotopy algebra bootstrap [9–11, 13, 17];
– Berkovits’ SFT [1, 6, 13, 20–22];
– supermoduli space [23, 32];
– democratic SFT [18, 19];
– light-cone SFT [15, 16];
• Relations between different constructions [4, 5, 12–14].
• Ramond string field:
– constrained field [6, 13, 21, 32];
– auxiliary field [2, 13, 27, 30];
References
1. N. Berkovits, Super-poincare invariant superstring field theory. Nucl. Phys. B 450(1–2), 90–
102 (1995). https://doi.org/10.1016/0550-3213(95)00259-U. arXiv: hep-th/9503099
2. C. de Lacroix, H. Erbin, S.P. Kashyap, A. Sen, M. Verma, Closed super-string field theory
and its applications. Int. J. Mod. Phys. A 32(28–29), 1730021 (2017). https://doi.org/10.1142/
S0217751X17300216. arXiv: 1703.06410
3. R. Donagi, E. Witten, Supermoduli space is not projected (2013). arXiv: 1304.7798
4. T. Erler, Relating Berkovits and A ∞ superstring field theories; large Hilbert space perspective.
J. High Energy Phys. 1602, 121 (2015). https://doi.org/10.1007/JHEP02(2016)121. arXiv:
1510.00364
17 Superstring
The η 0 gauge invariance can be fixed with the condition
ξ 0 | 0 = 0,
(17.84)
and one can introduce a new field −1 such that
| 0 = ξ 0 | −1
(17.85)
to satisfy automatically the condition. The equation of motion becomes
Q B | −1 = 0,
(17.86)
and one recovers the small Hilbert space formulation.
17.4 Suggested Readings
• General reviews [2, 7, sec. 6].
• Spurious poles and vertical integration:
– small Hilbert space [2, app. C, D, 28, 31];
– large Hilbert space [8]
• Constructions of super-SFT:
– “Sen’s” amplitude factorization construction [2, 25–27, 29, 30];
– “Munich” homotopy algebra bootstrap [9–11, 13, 17];
– Berkovits’ SFT [1, 6, 13, 20–22];
– supermoduli space [23, 32];
– democratic SFT [18, 19];
– light-cone SFT [15, 16];
• Relations between different constructions [4, 5, 12–14].
• Ramond string field:
– constrained field [6, 13, 21, 32];
– auxiliary field [2, 13, 27, 30];
References
1. N. Berkovits, Super-poincare invariant superstring field theory. Nucl. Phys. B 450(1–2), 90–
102 (1995). https://doi.org/10.1016/0550-3213(95)00259-U. arXiv: hep-th/9503099
2. C. de Lacroix, H. Erbin, S.P. Kashyap, A. Sen, M. Verma, Closed super-string field theory
and its applications. Int. J. Mod. Phys. A 32(28–29), 1730021 (2017). https://doi.org/10.1142/
S0217751X17300216. arXiv: 1703.06410
3. R. Donagi, E. Witten, Supermoduli space is not projected (2013). arXiv: 1304.7798
4. T. Erler, Relating Berkovits and A ∞ superstring field theories; large Hilbert space perspective.
J. High Energy Phys. 1602, 121 (2015). https://doi.org/10.1007/JHEP02(2016)121. arXiv:
1510.00364