The Appell Function F1 and Regge String Scattering Amplitudes

@article{Lee2014TheAF,
  title={The Appell Function F1 and Regge String Scattering Amplitudes},
  author={Jen-Chi Lee and Yi Yang},
  journal={Physics Letters B},
  year={2014},
  volume={739},
  pages={370-374}
}
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11 Citations
Background Citations
5
Methods Citations
3
Results Citations
3

11 Citations

Solving Lauricella string scattering amplitudes through recurrence relations

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Solving Lauricella string scattering amplitudes through recurrence relations

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…

The string BCJ relations revisited and extended recurrence relations of nonrelativistic string scattering amplitudes

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

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.

Hidden Symmetry in String Theory

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The SL(K+3,C) symmetry of the bosonic string scattering amplitudes

The Lauricella functions and exact string scattering amplitudes

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…

Overview of High Energy String Scattering Amplitudes and Symmetries of String Theory

A link between string amplitudes of the two regimes is found, and it is discovered that at each mass level the ratios among fixed angle amplitudes can be extracted from Regge string scattering amplitudes, enabling us to argue that the known SL(5,C) dynamical symmetry of the Appell function F_1 is crucial to probe high energy spacetime symmetry of string theory.

String scattering amplitudes and deformed cubic string field theory

References

SHOWING 1-10 OF 48 REFERENCES

Recurrence relations of Kummer functions and Regge string scattering amplitudes

A bstractWe discover an infinite number of recurrence relations among Regge string scattering amplitudes [11, 30] of different string states at arbitrary mass levels in the open bosonic string…

Patterns of high energy massive string scatterings in the Regge regime

We calculate high energy massive string scattering amplitudes of open bosonic string in the Regge regime (RR). We found that the number of high energy amplitudes for each fixed mass level in the RR…

Partial-wave unitarity and closed-string amplitudes

Generalized On-Shell Ward Identities in String Theory

It is demonstrated that an infinite set of string-tree level on-shell Ward identities, which are valid to all a-model loop orders, can be systematically constructed without referring to the string…

String Theory Beyond the Planck Scale

Solving all 4-point correlation functions for bosonic open string theory in the high-energy limit

High-energy zero-norm states and symmetries of string theory.

High-energy limit of zero-norm states in the old covariant first quantized spectrum of the 26D open bosonic string is used to derive infinitely many linear relations among the leading high-energy, fixed-angle behavior of four-point functions of different string states.

High energy scattering amplitudes of superstring theory

The High-energy Behavior of Open String Scattering

Spontaneously broken symmetry in string theory