一类二次场Gamma和Beta函数的Adelic公式：在四粒子散射弦振幅中的应用
Adelic Formulas for Gamma and Beta Functions of One-Class Quadratic Fields: Applications to 4-Particle Scattering String Amplitudes
摘要：
正则化的阿德拉公式的伽玛和β函数的任意quasicharters（分歧或不），并在一个任意领域的代数数具体适用于一类二次域（和领域的有理数）。应用4-tachyon树弦振幅，Veneziano（开弦）和Virasoro（闭弦）的振幅以及Ramond-Neveu-Schwarz超弦和杂合弦的无质量4粒子振幅进行了讨论。建立了不同超弦振幅之间的某些关系。
英文摘要：
Regularized adelic formulas for gamma and beta functions for arbitrary quasicharacters (either ramified or not) and in an arbitrary field of algebraic numbers are concretized as applied to one-class quadratic fields (and to the field of rational numbers). Applications to 4-tachyon tree string amplitudes, to the Veneziano (open strings) and Virasoro (closed strings) amplitudes as well as to massless 4-particle amplitudes of the Ramond-Neveu-Schwarz superstring and a heterotic string are discussed. Certain relations between different superstring amplitudes are established.
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