Abstract
The general fluctuations, in the form of vertex operators, for the type II superstring in the pure spinor formalism are considered. We review the construction of these vertex operators in flat space-time. We then review the type II superstrings in curved background in the pure spinor formalism to finally construct the vertex operators on a generic type II supergravity background.
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References
N. Berkovits, Super Poincaré covariant quantization of the superstring, JHEP 04 (2000) 018 [hep-th/0001035] [INSPIRE].
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].
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].
O.A. Bedoya and O. Chandía, One-loop Conformal Invariance of the Type II Pure Spinor Superstring in a Curved Background, JHEP 01 (2007) 042 [hep-th/0609161] [INSPIRE].
O. Chandía and M. Tonin, BRST anomaly and superspace constraints of the pure spinor heterotic string in a curved background, JHEP 09 (2007) 016 [arXiv:0707.0654] [INSPIRE].
N. Berkovits and O. Chandía, Superstring vertex operators in an AdS5 × S5 background, Nucl. Phys. B 596 (2001) 185 [hep-th/0009168] [INSPIRE].
O. Chandía and B.C. Vallilo, Vertex operators for the plane wave pure spinor string, JHEP 10 (2018) 088 [arXiv:1807.05149] [INSPIRE].
O. Chandía, General fluctuations of the heterotic pure spinor string on curved backgrounds, JHEP 02 (2019) 116 [arXiv:1812.05124] [INSPIRE].
O. Chandía and B.C. Vallilo, A superfield realization of the integrated vertex operator in an AdS 5 × S 5 background, JHEP 10 (2017) 178 [arXiv:1709.05517] [INSPIRE].
N. Berkovits, Pure spinor formalism as an N = 2 topological string, JHEP 10 (2005) 089 [hep-th/0509120] [INSPIRE].
O. Chandía, The b Ghost of the Pure Spinor Formalism is Nilpotent, Phys. Lett. B 695 (2011) 312 [arXiv:1008.1778] [INSPIRE].
R. Lipinski Jusinskas, Nilpotency of the b ghost in the non-minimal pure spinor formalism, JHEP 05 (2013) 048 [arXiv:1303.3966] [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].
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].
O. Chandía, A. Mikhailov and B.C. Vallilo, A construction of integrated vertex operator in the pure spinor σ-model in AdS 5 × S 5, JHEP 11 (2013) 124 [arXiv:1306.0145] [INSPIRE].
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ArXiv ePrint: 1902.02289
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Chandia, O. General fluctuations of the type II pure spinor string on curved backgrounds. J. High Energ. Phys. 2019, 73 (2019). https://doi.org/10.1007/JHEP04(2019)073
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DOI: https://doi.org/10.1007/JHEP04(2019)073