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Accumulation-Point Amplitudes in String Theory

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arxiv 2207.06426 v1 pith:CX2OFY4P submitted 2022-07-13 hep-th

classification hep-th
keywords amplitudepointstringcoonsomespectrumstatesunicode
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We point out some common qualitative features of the Coon amplitude$\unicode{x2014}$a family of deformations of the Veneziano amplitude with logarithmic Regge trajectories$\unicode{x2014}$and the open string scattering amplitude for strings ending on a D-brane in AdS. Both reduce to the Veneziano amplitude at relatively low energies. Both systems have an accumulation point in their spectrum, with an infinite number of states below a certain energy. The approach to this point is very similar. Both have the same high-energy fixed-angle behavior. Nevertheless, we find some differences in the spectrum of states with highest angular momentum. These similarities suggest that there may exist a string background that realizes the Coon amplitude.

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Forward citations

Cited by 5 Pith papers

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  4. A glimpse into the Ultrametric spectrum

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  5. Analytic bootstrap bounds on masses and spins in gravitational and non-gravitational scalar theories

    hep-th 2024-12 reject novelty 6.0 of 10

    The authors derive 'Sequential Spin and Mass Constraints' for su-symmetric and stu-symmetric four-point amplitudes, claiming any weakly-coupled spectrum must have ordered spins and bounded mass ratios.

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