The SL(K+3,C) Symmetry of the Bosonic String Scattering Amplitudes

Jen-Chi Lee; Sheng-Hong Lai; Yi Yang

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The SL(K+3,C) Symmetry of the Bosonic String Scattering Amplitudes

Sheng-Hong Lai, Jen-Chi Lee, Yi Yang

High Energy Physics - Theory · Submitted 13 Jun 2018

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim We discover that the exact string scattering amplitudes (SSA) of three tachyons and one arbitrary string state, or the Lauricella SSA (LSSA), in the 26D open bosonic string theory can be expressed in terms of the basis functions in the infinite dimensional representation space of the SL(K+3,C) group.

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What the abstract itself states, as probabilities: claims first 0.10 · states limitation 0.06 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.11 · compares with prior results 0.92 · mentions code or data availability 0.02.

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We discover that the exact string scattering amplitudes (SSA) of three tachyons and one arbitrary string state, or the Lauricella SSA (LSSA), in the 26D open bosonic string theory can be expressed in terms of the basis functions in the infinite dimensional representation space of the SL(K+3,C) group. In addition, we find that the K+2 recurrence relations among the LSSA discovered by the present authors previously can be used to reproduce the Cartan subalgebra and simple root system of the SL(K+3,C) group with rank K+2. As a result, the SL(K+3,C) group can be used to solve all the LSSA and express them in terms of one amplitude. As an application in the hard scattering limit, the SL(K+3,C) group can be used to directly prove Gross conjecture [1-3], which was previously corrected and proved by the method of decoupling of zero norm states [4-10].

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#	sentence	role	the authors' own work	states the main conclusion	strength
s0	We discover that the exact string scattering amplitudes (SSA) of three tachyons and one arbitrary string state, or the Lauricella SSA (LSSA), in the 26D open bosonic string theory can be expressed in terms of the basis functions in the infinite dimensional representation space of the SL(K+3,C) group.	result 0.93	0.94	0.63	asserted 1.00
s1	In addition, we find that the K+2 recurrence relations among the LSSA discovered by the present authors previously can be used to reproduce the Cartan subalgebra and simple root system of the SL(K+3,C) group with rank K+2.	result 0.90	0.92	0.11	asserted 1.00
s2	As a result, the SL(K+3,C) group can be used to solve all the LSSA and express them in terms of one amplitude.	result 0.81	0.84	0.57	asserted 0.99
s3	As an application in the hard scattering limit, the SL(K+3,C) group can be used to directly prove Gross conjecture [1-3], which was previously corrected and proved by the method of decoupling of zero norm states [4-10].	result 0.65	0.77	0.14	asserted 0.95

What kind of paper the classifier reports this is: theoretical result 0.99 · evidence from proof or derivation 1.00.

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Original abstract

We discover that the exact string scattering amplitudes (SSA) of three tachyons and one arbitrary string state, or the Lauricella SSA (LSSA), in the 26D open bosonic string theory can be expressed in terms of the basis functions in the infinite dimensional representation space of the SL(K+3,C) group. In addition, we find that the K+2 recurrence relations among the LSSA discovered by the present authors previously can be used to reproduce the Cartan subalgebra and simple root system of the SL(K+3,C) group with rank K+2. As a result, the SL(K+3,C) group can be used to solve all the LSSA and express them in terms of one amplitude. As an application in the hard scattering limit, the SL(K+3,C) group can be used to directly prove Gross conjecture [1-3], which was previously corrected and proved by the method of decoupling of zero norm states [4-10].

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Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

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Cites as background 4 papers

There are three polarizations on the scattering plane [ref] [equation] where $e^P=1/M_2(E_2,k_2,0)=k_2/M_2$ the momentum polarization, $e^L=1/M_2(k_2,E_2,0)$ the longitudinal polarization and $e^T=(0,0,1)$ the transverse polarization.

Stringy Symmetries and Their High-energy Limit · Review of the LSSA · 0.90
Other approaches of stringy symmetries can be found at [ref] .

Finite in All Directions · Introduction · 0.99
Other approaches of stringy symmetries can be found at [ref] .

Symmetries of the Bosonic String S-Matrix · Introduction · 0.99

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