Tension between string amplitude prescriptions with presumed spacetime supersymmetry
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866911277203324928 |
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| author | Azevedo, Thales Georgoudis, Alessandro Jusinskas, Renann Lipinski Kashyap, Sitender Pratap |
| author_facet | Azevedo, Thales Georgoudis, Alessandro Jusinskas, Renann Lipinski Kashyap, Sitender Pratap |
| contents | We analyze an alternative prescription for computing tree level scattering amplitudes in the pure spinor superstring. Proposed by Berkovits, and inspired by an earlier work by Lee and Siegel, it bypasses the traditional ghost number three measure of the pure spinor ghosts, $\langleλ^3 θ^5\rangle$=1, arguably simplifying the calculation. However, direct computations using the free field OPEs of the target superspace CFT fail to reproduce the expected $\textrm{SL}(2,\mathbb{C})$ invariance of tree level correlators. This persistent mismatch, confirmed through independent methods, is not compatible with the gauge invariance of the amplitude. We also discuss possible implications for the B-RNS-GSS formalism of the superstring. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_15111 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Tension between string amplitude prescriptions with presumed spacetime supersymmetry Azevedo, Thales Georgoudis, Alessandro Jusinskas, Renann Lipinski Kashyap, Sitender Pratap High Energy Physics - Theory We analyze an alternative prescription for computing tree level scattering amplitudes in the pure spinor superstring. Proposed by Berkovits, and inspired by an earlier work by Lee and Siegel, it bypasses the traditional ghost number three measure of the pure spinor ghosts, $\langleλ^3 θ^5\rangle$=1, arguably simplifying the calculation. However, direct computations using the free field OPEs of the target superspace CFT fail to reproduce the expected $\textrm{SL}(2,\mathbb{C})$ invariance of tree level correlators. This persistent mismatch, confirmed through independent methods, is not compatible with the gauge invariance of the amplitude. We also discuss possible implications for the B-RNS-GSS formalism of the superstring. |
| title | Tension between string amplitude prescriptions with presumed spacetime supersymmetry |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2509.15111 |