Stringy scaling of multi-tensor hard string scattering amplitudes and the K-identities
Abstract We calculate n-point hard string scattering amplitudes (HSSA) with n − 2 tachyons and 2 tensor states at arbitrary mass levels. We discover the stringy scaling behavior of these HSSA. It is found that for HSSA with more than 2 transverse directions, the degree of stringy scaling dim $$\math...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2025-03-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP03(2025)107 |
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| Summary: | Abstract We calculate n-point hard string scattering amplitudes (HSSA) with n − 2 tachyons and 2 tensor states at arbitrary mass levels. We discover the stringy scaling behavior of these HSSA. It is found that for HSSA with more than 2 transverse directions, the degree of stringy scaling dim $$\mathcal{M}$$ 2 decreases comparing to the degree of stringy scaling dim $$\mathcal{M}$$ 1 of the n − 1 tachyons and 1 tensor HSSA calculated previously. Moreover, we propose a set of K-identities which is the key to demonstrate the stringy scaling behavior of HSSA. We explicitly prove both the diagonal and off-diagonal K-identities for the 4-point HSSA and give numerical proofs of these K-identities for some higher point HSSA. |
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| ISSN: | 1029-8479 |