Abstract
The SO(32) heterotic superstring on a Calabi-Yau manifold can spontaneously break supersymmetry at one-loop order even when it is unbroken at tree-level. It is known that calculating the supersymmetry-breaking effects in this model gives a relatively accessible test case of the subtleties of superstring perturbation theory in the RNS formalism. In the present paper, we calculate the relevant amplitudes in the pure spinor approach to superstring perturbation theory, and show that the regulator used in computing loop amplitudes in the pure spinor formalism leads to subtleties somewhat analogous to the more familiar subtleties of the RNS approach.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
N. Berkovits, Super Poincaré covariant quantization of the superstring, JHEP 04 (2000) 018 [hep-th/0001035] [INSPIRE].
M. Dine, N. Seiberg, X.G. Wen and E. Witten, Nonperturbative Effects on the String World Sheet, Nucl. Phys. B 278 (1986) 769 [INSPIRE].
M. Dine, I. Ichinose and N. Seiberg, F terms and d Terms in String Theory, Nucl. Phys. B 293 (1987) 253 [INSPIRE].
J.J. Atick, L.J. Dixon and A. Sen, String Calculation of Fayet-Iliopoulos d Terms in Arbitrary Supersymmetric Compactifications, Nucl. Phys. B 292 (1987) 109 [INSPIRE].
M.B. Green and N. Seiberg, Contact Interactions in Superstring Theory, Nucl. Phys. B 299 (1988) 559 [INSPIRE].
J.J. Atick and A. Sen, Two Loop Dilaton Tadpole Induced by Fayet-Iliopoulos D Terms in Compactified Heterotic String Theories, Nucl. Phys. B 296 (1988) 157 [INSPIRE].
J. Distler and M.D. Doyle, World sheet supersymmetry without contact terms, Phys. Lett. B 287 (1992) 73 [hep-th/9203058] [INSPIRE].
E. Witten, More On Superstring Perturbation Theory, arXiv:1304.2832 [INSPIRE].
O. Chandía, The Non-minimal Heterotic Pure Spinor String in a Curved Background, JHEP 03 (2014) 095 [arXiv:1311.7012] [INSPIRE].
N. Berkovits and O. Chandía, Simplified Pure Spinor b Ghost in a Curved Heterotic Superstring Background, JHEP 06 (2014) 001 [arXiv:1403.2429] [INSPIRE].
E. Witten, The Feynman iϵ in String Theory, arXiv:1307.5124 [INSPIRE].
A. Berera, Unitary string amplitudes, Nucl. Phys. B 411 (1994) 157 [INSPIRE].
N. Berkovits and C.R. Mafra, Some Superstring Amplitude Computations with the Non-Minimal Pure Spinor Formalism, JHEP 11 (2006) 079 [hep-th/0607187] [INSPIRE].
E. D’Hoker and D.H. Phong, Lectures on two loop superstrings, Conf. Proc. C 0208124 (2002) 85 [hep-th/0211111] [INSPIRE].
E. D’Hoker and D.H. Phong, Two-loop vacuum energy for Calabi-Yau orbifold models, Nucl. Phys. B 877 (2013) 343 [arXiv:1307.1749] [INSPIRE].
N. Berkovits, Pure spinor formalism as an N = 2 topological string, JHEP 10 (2005) 089 [hep-th/0509120] [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: 1404.5346
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
Berkovits, N., Witten, E. Supersymmetry breaking effects using the pure spinor formalism of the superstring. J. High Energ. Phys. 2014, 127 (2014). https://doi.org/10.1007/JHEP06(2014)127
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP06(2014)127