D=5 holomorphic Chern-Simons and the pure spinor superstring
Abstract The physical states of D=5 holomorphic Chern-Simons theory correspond to on-shell D=10 open superstring states in the cohomology of q +, where q + is one of the 16 spacetime supersymmetry generators. Scattering amplitudes of these states can be computed either using the usual Ramond-Neveu-S...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2023-02-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP02(2023)169 |
| _version_ | 1797779124677246976 |
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| author | Nathan Berkovits |
| author_facet | Nathan Berkovits |
| author_sort | Nathan Berkovits |
| collection | DOAJ |
| description | Abstract The physical states of D=5 holomorphic Chern-Simons theory correspond to on-shell D=10 open superstring states in the cohomology of q +, where q + is one of the 16 spacetime supersymmetry generators. Scattering amplitudes of these states can be computed either using the usual Ramond-Neveu-Schwarz (RNS) superstring prescription with N=1 worldsheet supersymmetry, or using a topological ĉ=5 string theory with twisted N=2 worldsheet supersymmetry. It will be argued that the relation between D=5 holomophic Chern-Simons and the RNS superstring is identical to the relation between the pure spinor superstring and the recently constructed B-RNS-GSS superstring which has both N=1 worldsheet supersymmetry and D=10 spacetime supersymmetry. Physical states of the pure spinor superstring correspond to on-shell B-RNS-GSS states which are in the cohomology of λ α q α , where λ α is a D=10 pure spinor. And scattering amplitudes of these states can be computed either using the full B-RNS-GSS superstring prescription with N=1 worldsheet supersymmetry, or using the pure spinor superstring amplitude prescription with twisted N=2 worldsheet supersymmetry. This should be useful for proving equivalence of the RNS and pure spinor amplitude prescriptions and for clarifying the relation of their multiloop subtleties. |
| first_indexed | 2024-03-12T23:27:14Z |
| format | Article |
| id | doaj.art-770a8b7618a745b8b6674e00201791b3 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-03-12T23:27:14Z |
| publishDate | 2023-02-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-770a8b7618a745b8b6674e00201791b32023-07-16T11:05:18ZengSpringerOpenJournal of High Energy Physics1029-84792023-02-012023211810.1007/JHEP02(2023)169D=5 holomorphic Chern-Simons and the pure spinor superstringNathan Berkovits0ICTP South American Institute for Fundamental Research, Instituto de Física Teórica, UNESP — Univ. Estadual PaulistaAbstract The physical states of D=5 holomorphic Chern-Simons theory correspond to on-shell D=10 open superstring states in the cohomology of q +, where q + is one of the 16 spacetime supersymmetry generators. Scattering amplitudes of these states can be computed either using the usual Ramond-Neveu-Schwarz (RNS) superstring prescription with N=1 worldsheet supersymmetry, or using a topological ĉ=5 string theory with twisted N=2 worldsheet supersymmetry. It will be argued that the relation between D=5 holomophic Chern-Simons and the RNS superstring is identical to the relation between the pure spinor superstring and the recently constructed B-RNS-GSS superstring which has both N=1 worldsheet supersymmetry and D=10 spacetime supersymmetry. Physical states of the pure spinor superstring correspond to on-shell B-RNS-GSS states which are in the cohomology of λ α q α , where λ α is a D=10 pure spinor. And scattering amplitudes of these states can be computed either using the full B-RNS-GSS superstring prescription with N=1 worldsheet supersymmetry, or using the pure spinor superstring amplitude prescription with twisted N=2 worldsheet supersymmetry. This should be useful for proving equivalence of the RNS and pure spinor amplitude prescriptions and for clarifying the relation of their multiloop subtleties.https://doi.org/10.1007/JHEP02(2023)169Superstrings and Heterotic StringsTopological Strings |
| spellingShingle | Nathan Berkovits D=5 holomorphic Chern-Simons and the pure spinor superstring Journal of High Energy Physics Superstrings and Heterotic Strings Topological Strings |
| title | D=5 holomorphic Chern-Simons and the pure spinor superstring |
| title_full | D=5 holomorphic Chern-Simons and the pure spinor superstring |
| title_fullStr | D=5 holomorphic Chern-Simons and the pure spinor superstring |
| title_full_unstemmed | D=5 holomorphic Chern-Simons and the pure spinor superstring |
| title_short | D=5 holomorphic Chern-Simons and the pure spinor superstring |
| title_sort | d 5 holomorphic chern simons and the pure spinor superstring |
| topic | Superstrings and Heterotic Strings Topological Strings |
| url | https://doi.org/10.1007/JHEP02(2023)169 |
| work_keys_str_mv | AT nathanberkovits d5holomorphicchernsimonsandthepurespinorsuperstring |