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arXiv · 2204.13308

The $SL(K+3,\mathbb{C})$ symmetry of string scatterings from D-branes

Sheng-Hong Lai·Jen-Chi Lee·Yi Yang
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Abstract

By using the solvability of Lauricella function $F_{D}^{(K)}\left( \alpha;\beta_{1},...,\beta_{K};\gamma;x_{1},...,x_{K}\right) $ with nonpositive integer $\beta_{J}$, we show that each scattering or decay process of string and D-brane states at \textit{arbitrary} mass levels can be expressed in terms of a single Lauricella function. This result extends the previous exact $SL(K+3,\mathbb{C})$ symmetry of tree-level open bosonic string theory to include the D-brane.

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Sheng-Hong Lai, Jen-Chi Lee, Yi Yang. 2022-04-28. The $SL(K+3,\mathbb{C})$ symmetry of string scatterings from D-branes. https://doi.org/10.1016/j.nuclphysb.2023.116100

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