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.

arXiv comment15 pages, no figure. arXiv admin note: text overlap with arXiv:2108.06326. v2: 18 pages. Final in Nucl.Phys. B

References in corpus (19)

• Direct Proof Of Tree-Level Recursion Relation In Yang-Mills Theory
• New Recursion Relations for Tree Amplitudes of Gluons
• Superstring Scattering from D-Branes
• The Size of p-Branes
• On-shell Recursion in String Theory
• Stringy Symmetries and Their High-energy Limits
• Zero-norm states and High-energy Symmetries of String Theory
• Solving all 4-point correlation functions for bosonic open string theory in the high energy limit
• Ward Identities and High-energy Scattering Amplitudes in String Theory
• High-energy zero-norm states and symmetries of string theory
• D-brane form factors at high energy
• Scattering of Closed String States from a Quantized D-Particle
• Scatterings of Massive String States from D-brane and Their Linear Relations at High Energies
• Linear Relations of High Energy Absorption/Emission Amplitudes of D-brane
• The SL(K+3,C) Symmetry of the Bosonic String Scattering Amplitudes
• Solving Lauricella String Scattering Amplitudes through Recurrence Relations
• Spin polarization independence of hard polarized fermion string scattering amplitudes
• Recent developments of the Lauricella string scattering amplitudes and their exact SL(K+3,C) Symmetry
• The exact SL(K+3,C) symmetry of string theory