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Snowmass White Paper: String Perturbation Theory
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The purpose of this White Paper is to review recent progress towards elucidating and evaluating string amplitudes, relating them to quantum field theory amplitudes, applying their predictions to string dualities, exploring their connection with gravitational physics, and deepening our understanding of their mathematical structure. We also present a selection of targets for future research.
Forward citations
Cited by 5 Pith papers
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Degenerations of flat connections on Riemann surfaces
Enriquez and DHS kernels on genus-h surfaces close under non-separating degeneration to genus h-1 kernels with two punctures whose generators are Bernoulli series in the original Lie algebra elements.
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Higher-genus multiple zeta values
The paper defines higher-genus multiple zeta values, regularizes them via Schottky uniformization, and proves and conjectures new identities among them.
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Form factors from string amplitudes
A bosonic string disk amplitude with one closed and many open strings is proposed as a UV completion of tree-level form factors in scalar and Yang-Mills theories.
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Gleaning gravitational amplitudes -- a double copy for canceling dilatons
An asymmetric double copy with a ghost-like sqrt-dilaton cancels dilaton contaminations in tree-level GR amplitudes with massive scalars up to six points, leaving a residual bubble ambiguity at one loop.
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Vertex operators for the superstring with manifest $d=6$ $\mathcal{N}=1$ supersymmetry
A manifestly d=6 N=1 supersymmetric vertex operator and amplitude prescription are constructed for the superstring, with BRST invariance implying the SYM equations of motion.
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