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

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.

Comments: 15 pages, no figure. arXiv admin note: text overlap with arXiv:2108.06326. v2: 18 pages. Final in Nucl.Phys. B