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| Main Authors: | , , |
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| Format: | Preprint |
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2025
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| Online Access: | https://arxiv.org/abs/2506.15299 |
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| _version_ | 1866908412683485184 |
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| author | Chang, Yu-Chi Chen, Hsing-Yen Huang, Yu-tin |
| author_facet | Chang, Yu-Chi Chen, Hsing-Yen Huang, Yu-tin |
| contents | In this paper, we study the zeros of string theory utilizing its curve-integral representation. Firstly, we note that for bosonic strings the tachyon amplitude in curve-representation is identical to the kinematic shifted Tr$ϕ^3$ amplitude. Scaffolding is then equivalent to taking the OPE limit of vertex operators on the string world-sheet, which yields amplitude of higher excitations. Using this picture, we derive that the $n$-point level-$N$ scattering amplitude shares the same set of zeros as the $n$-point tachyon amplitude as well as those inherited from it's prescaffold image, i.e. $(2^N)n$-point. Doing the same for the super-tachyon amplitude, exposes new zeros for the open super-string, which can be viewed as the avatar of supersymmetry. Finally we also consider the gluino amplitude at four and six-points, identifying its zero and recovering super-Yang-Mills via scaffolding. Finally we consider the field theory limit of colored fermion amplitudes from the curve-integral form. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_15299 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | All zeros of (super)String Theory Chang, Yu-Chi Chen, Hsing-Yen Huang, Yu-tin High Energy Physics - Theory In this paper, we study the zeros of string theory utilizing its curve-integral representation. Firstly, we note that for bosonic strings the tachyon amplitude in curve-representation is identical to the kinematic shifted Tr$ϕ^3$ amplitude. Scaffolding is then equivalent to taking the OPE limit of vertex operators on the string world-sheet, which yields amplitude of higher excitations. Using this picture, we derive that the $n$-point level-$N$ scattering amplitude shares the same set of zeros as the $n$-point tachyon amplitude as well as those inherited from it's prescaffold image, i.e. $(2^N)n$-point. Doing the same for the super-tachyon amplitude, exposes new zeros for the open super-string, which can be viewed as the avatar of supersymmetry. Finally we also consider the gluino amplitude at four and six-points, identifying its zero and recovering super-Yang-Mills via scaffolding. Finally we consider the field theory limit of colored fermion amplitudes from the curve-integral form. |
| title | All zeros of (super)String Theory |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2506.15299 |