# The Lauricella functions and exact string scattering amplitudes

@article{Lai2016TheLF, title={The Lauricella functions and exact string scattering amplitudes}, author={Sheng-Hong Lai and Jen-Chi Lee and Yi Yang}, journal={Journal of High Energy Physics}, year={2016}, volume={2016}, pages={1-17} }

A bstractWe discover that the 26D open bosonic string scattering amplitudes (SSA) of three tachyons and one arbitrary string state can be expressed in terms of the D-type Lauricella functions with associated SLK+3,ℂ$$ \mathrm{S}\mathrm{L}\left(K+3,\mathbb{C}\right) $$ symmetry. As a result, SSA and symmetries or relations among SSA of different string states at various limits calculated previously can be rederived. These include the linear relations first conjectured by Gross [1-5] and later…

## 14 Citations

### Recent Developments of the Lauricella String Scattering Amplitudes and Their Exact SL(K + 3, C) Symmetry

- MathematicsSymmetry
- 2021

The construction of the exact string scattering amplitudes (SSA) of three tachyons and one arbitrary string state, or the Lauricella SSA, in the 26D open bosonic string theory is reviewed and it is shown that the SL(K +3,C) group can be used to solve all the LSSA and express them in terms of one amplitude.

### Residues of bosonic string scattering amplitudes and the Lauricella functions

- Physics
- 2021

Abstract We calculate explicitly residues of all n-point Koba-Nielsen (KN) amplitudes by using on-shell recursion relation of string scattering amplitudes (SSA). In addition, we show that the…

### Solving Lauricella string scattering amplitudes through recurrence relations

- Physics
- 2017

A bstractWe show that there exist infinite number of recurrence relations valid for all energies among the open bosonic string scattering amplitudes (SSA) of three tachyons and one arbitrary string…

### Solving Lauricella string scattering amplitudes through recurrence relations

- PhysicsJournal of High Energy Physics
- 2017

We show that there exist infinite number of recurrence relations valid for all energies among the open bosonic string scattering amplitudes (SSA) of three tachyons and one arbitrary string state, or…

### New series representations for the two-loop massive sunset diagram

- PhysicsThe European Physical Journal C
- 2020

We derive new convergent series representations for the two-loop sunset diagram with three different propagator masses $$m_1,\, m_2$$ m 1 , m 2 and $$m_3$$ m 3 and external momentum p by techniques…

### Interacting Open Bosonic String in the Proper-Time Gauge: Covariant Open Bosonic String Field Theory on Multiple D-Branes

- Physics
- 2016

We construct a covariant open bosonic string field theory on multiple D-branes, which reduces to a non-Abelian group Yang-Mills gauge theory in the zero-slope limit. Making use of the first quantized…

### Covariant open bosonic string field theory on multiple D-branes in the proper-time gauge

- Physics
- 2016

We construct a covariant open bosonic string field theory on multiple D-branes, which reduces to a non-Abelian group Yang-Mills gauge theory in the zero-slope limit. Making use of the first quantized…

### Symmetry of String Scattering Amplitudes

- Physics
- 2017

We explore the hidden symmetry in string theory by studying string scattering amplitudes. We calculate 4-point open string scattering amplitudes with three tachyons and a massive higher spin string…

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