Abstract
A simplified pure spinor superstring b ghost in a curved heterotic background was constructed recently. The b ghost is a composite operator and it is not holomorphic. However, it satisfies \( \overline{\partial}b=\left[Q,\Omega \right] \), where Q is the BRST charge. In this paper, we find a possible Ω.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
N. Berkovits and P.S. Howe, Ten-dimensional supergravity constraints from the pure spinor formalism for the superstring, Nucl. Phys. B 635 (2002) 75 [hep-th/0112160] [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].
N. Berkovits, Pure spinor formalism as an N = 2 topological string, JHEP 10 (2005) 089 [hep-th/0509120] [INSPIRE].
N. Berkovits, Dynamical twisting and the b ghost in the pure spinor formalism, JHEP 06 (2013) 091 [arXiv:1305.0693] [INSPIRE].
O. Chandía, A Note on the classical BRST symmetry of the pure spinor string in a curved background, JHEP 07 (2006) 019 [hep-th/0604115] [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 L. Mazzucato, Taming the b antighost with Ramond-Ramond flux, JHEP 11 (2010) 019 [arXiv:1004.5140] [INSPIRE].
I. Bakhmatov and N. Berkovits, Pure Spinor b-ghost in a Super-Maxwell Background, JHEP 11 (2013) 214 [arXiv:1310.3379] [INSPIRE].
O. Chandía and B.C. Vallilo, Non-minimal fields of the pure spinor string in general curved backgrounds, JHEP 02 (2015) 092 [arXiv:1412.1030] [INSPIRE].
N. Berkovits, Super Poincaré covariant quantization of the superstring, JHEP 04 (2000) 018 [hep-th/0001035] [INSPIRE].
N. Berkovits, Twistor Origin of the Superstring, JHEP 03 (2015) 122 [arXiv:1409.2510] [INSPIRE].
N. Berkovits, Origin of the Pure Spinor and Green-Schwarz Formalisms, JHEP 07 (2015) 091 [arXiv:1503.03080] [INSPIRE].
O. Chandía and B.C. Vallilo, Conformal invariance of the pure spinor superstring in a curved background, JHEP 04 (2004) 041 [hep-th/0401226] [INSPIRE].
J. Wess and J. Bagger, Supersymmetry and supergravity, Princeton University Press, Princeton U.S.A. (1992).
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: 1512.00807
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
Fleury, T. On the pure spinor heterotic superstring b ghost. J. High Energ. Phys. 2016, 200 (2016). https://doi.org/10.1007/JHEP03(2016)200
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP03(2016)200