Abstract
Using the pure spinor formalism for the superstring in an AdS5 × S5 background, a simple expression is found for half-BPS vertex operators. At large radius, these vertex operators reduce to the usual supergravity vertex operators in a flat background. And at small radius, there is a natural conjecture for generalizing these vertex operators to non-BPS states.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
J.A. Minahan, Holographic three-point functions for short operators, JHEP07 (2012) 187 [arXiv:1206.3129] [INSPIRE].
M. Cho, S. Collier and X. Yin, Strings in Ramond-Ramond Backgrounds from the Neveu-Schwarz-Ramond Formalism, arXiv:1811.00032 [INSPIRE].
S. Frolov and A.A. Tseytlin, Semiclassical quantization of rotating superstring in AdS 5 × S 5, JHEP06 (2002) 007 [hep-th/0204226] [INSPIRE].
L. Mazzucato, Superstrings in AdS, Phys. Rept.521 (2012) 1 [arXiv:1104.2604] [INSPIRE].
N. Berkovits, Quantum consistency of the superstring in AdS 5 × S 5background, JHEP03 (2005) 041 [hep-th/0411170] [INSPIRE].
Y. Aisaka, L.I. Bevilaqua and B.C. Vallilo, On semiclassical analysis of pure spinor superstring in an AdS 5 × S 5background, JHEP09 (2012) 068 [arXiv:1206.5134] [INSPIRE].
H. Gomez and C.R. Mafra, The closed-string 3-loop amplitude and S-duality, JHEP10 (2013) 217 [arXiv:1308.6567] [INSPIRE].
N. Berkovits and T. Fleury, Harmonic Superspace from the AdS 5 × S 5Pure Spinor Formalism, JHEP03 (2013) 022 [arXiv:1212.3296] [INSPIRE].
A. Mikhailov, Finite dimensional vertex, JHEP12 (2011) 005 [arXiv:1105.2231] [INSPIRE].
N. Berkovits, Simplifying and Extending the AdS 5 × S 5Pure Spinor Formalism, JHEP09 (2009) 051 [arXiv:0812.5074] [INSPIRE].
O.A. Bedoya, L.I. Bevilaqua, A. Mikhailov and V.O. Rivelles, Notes on β-deformations of the pure spinor superstring in AdS 5 × S 5, Nucl. Phys.B 848 (2011) 155 [arXiv:1005.0049] [INSPIRE].
N. Berkovits, Sketching a Proof of the Maldacena Conjecture at Small Radius, JHEP06 (2019) 111 [arXiv:1903.08264] [INSPIRE].
N. Berkovits and O. Chandía, Superstring vertex operators in an AdS 5 × S 5background, Nucl. Phys.B 596 (2001) 185 [hep-th/0009168] [INSPIRE].
N. Berkovits and R. Lipinski Jusinskas, Light-Cone Analysis of the Pure Spinor Formalism for the Superstring, JHEP08 (2014) 102 [arXiv:1406.2290] [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: 1904.06564
Rights and permissions
Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, 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 licence, and indicate if changes were made.
The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder.
To view a copy of this licence, visit https://creativecommons.org/licenses/by/4.0/.
About this article
Cite this article
Berkovits, N. Half-BPS vertex operators of the AdS5 × S5 superstring. J. High Energ. Phys. 2019, 84 (2019). https://doi.org/10.1007/JHEP07(2019)084
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP07(2019)084