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arXiv · 2412.19640

Stringy scaling of multi-tensor hard string scattering amplitudes and the K-identities

Sheng-Hong Lai·Jen-Chi Lee·Yi Yang
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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 dimM2 decreases comparing to the degree of stringy scaling dimM1 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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Sheng-Hong Lai, Jen-Chi Lee, Yi Yang. 2024-12-27. Stringy scaling of multi-tensor hard string scattering amplitudes and the K-identities. https://arxiv.org/abs/2412.19640

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