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 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.
Cite
@article{arxiv.2412.19640,
title = {Stringy scaling of multi-tensor hard string scattering amplitudes and the K-identities},
author = {Sheng-Hong Lai and Jen-Chi Lee and Yi Yang},
journal= {arXiv preprint arXiv:2412.19640},
year = {2025}
}
Comments
28 pages, no figure. v2: 28 pages, typos corrected, no figure, 2 refs added. v3: typos corrected, accepted by JHEP