Vertex Operators in Superstring Theory from Integral Forms and Descent Equations
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
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2026
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| _version_ | 1866918531179741184 |
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| author | Kishimoto, Isao Seki, Shigenori Shimogaki, Haruka Takahashi, Tomohiko |
| author_facet | Kishimoto, Isao Seki, Shigenori Shimogaki, Haruka Takahashi, Tomohiko |
| contents | We develop a geometric formulation of vertex operators in superstring theory based on integral forms on super Riemann surfaces. Starting from the integrated NS-NS vertex operator, we derive descent equations that relate operators with different ghost and picture numbers. A key result is a correspondence between supergeometric objects and ghost superfields, in which the one-form $dz-θdθ$ and the even differential $dθ$ are identified with the ghost superfield and its superderivative. This provides a geometric realization of the superghost structure. We further extend the construction by incorporating inverse picture-changing operators, which generate new descent sequences across different picture sectors. We also introduce a superfield construction of higher-ghost-number operators, for which additional terms are required compared to the bosonic case. All operators are organized into a universal descent structure and are well-defined in BRST cohomology. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_30759 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Vertex Operators in Superstring Theory from Integral Forms and Descent Equations Kishimoto, Isao Seki, Shigenori Shimogaki, Haruka Takahashi, Tomohiko High Energy Physics - Theory We develop a geometric formulation of vertex operators in superstring theory based on integral forms on super Riemann surfaces. Starting from the integrated NS-NS vertex operator, we derive descent equations that relate operators with different ghost and picture numbers. A key result is a correspondence between supergeometric objects and ghost superfields, in which the one-form $dz-θdθ$ and the even differential $dθ$ are identified with the ghost superfield and its superderivative. This provides a geometric realization of the superghost structure. We further extend the construction by incorporating inverse picture-changing operators, which generate new descent sequences across different picture sectors. We also introduce a superfield construction of higher-ghost-number operators, for which additional terms are required compared to the bosonic case. All operators are organized into a universal descent structure and are well-defined in BRST cohomology. |
| title | Vertex Operators in Superstring Theory from Integral Forms and Descent Equations |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2605.30759 |