Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2002-12-16
Int.J.Mod.Phys. 19 (2004) 1665-1703
Physics
High Energy Physics
High Energy Physics - Theory
92 pages LaTex, some typos removed, discussion section is added along with several additional latest references
Scientific paper
10.1142/S0217751X04018166
The history of discovery of bosonic string theory is well documented. This theory evolved as an attempt to find a multidimensional analogue of Euler's beta function. Such an analogue had in fact been known in mathematics literature at least in 1922 and was studied subsequently by mathematicians such as Selberg, Weil and Deligne among others. The mathematical interpretation of this multidimensional beta function is markedly different from that described in physics literature. This paper aims to bridge the gap between the existing treatments. Preserving all results of conformal field theories intact, developed formalism employing topological, algebro-geometric, number-theoretic and combinatorial metods is aimed to provide better understanding of the Veneziano amplitudes and, thus, of string theories.
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