2005
DOI: 10.1016/j.geomphys.2004.11.008
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New strings for old Veneziano amplitudes

Abstract: The bosonic string theory evolved as an attempt to find a physical/quantum mechanical model capable of reproducing Euler's beta function (Veneziano amplitude) and its multidimensional analogue. The multidimensional analogue of beta function was studied mathematically for some time from different angles by mathematicians such as Selberg,Weil and Deligne among many others. The results of their studies apparently were not taken into account in physics literature on string theory. In a recent publication [IJMPA 19… Show more

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Cited by 14 publications
(55 citation statements)
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References 94 publications
(241 reference statements)
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“…In this work results of our papers, Ref.s. [5][6][7], to be called respectively as Part I, Part II and Part III are developed further. This has become possible in view of the work by Reshetikhin and Varchenko, Ref.…”
Section: Introductionmentioning
confidence: 99%
See 1 more Smart Citation
“…In this work results of our papers, Ref.s. [5][6][7], to be called respectively as Part I, Part II and Part III are developed further. This has become possible in view of the work by Reshetikhin and Varchenko, Ref.…”
Section: Introductionmentioning
confidence: 99%
“…Both papers invoke ADS/CFT correspondence. In this work, we reobtain these spin chain results using combinatorial arguments following Heisenberg's philosophy 7 .…”
Section: Introductionmentioning
confidence: 99%
“…The Veneziano's "educated guess" for a Regge trajectory compatible scattering amplitude [27,28], which in some sense "started" the String Theory movement, is an iterated integral on moduli spaces of punctured Riemann spheres M 0,4 [29], Eq. (1.1), p.1, , with n = 1:…”
Section: 3mentioning
confidence: 99%
“…4 Parametersñ andm will be specified shortly below. 5 We have suppressed the tildas for n and m in this expression since these parameters are going to be redefined below anyway. 6 On page 15 of the book by Stanley [31], one can find that the number of solutions N (n, k)…”
Section: Combinatorics Of Veneziano Amplitudes and Spin Chains: Qualimentioning
confidence: 99%
“…In Sections 2-3 we provide needed physical motivations and background. For this purpose, in Section 2 we replaced mathematically sophisticated derivation of Veneziano partition function developed in [4][5][6] by a considerably simpler combinatorial derivation of this function analogous to that discussed in [7]. As a by-product of this effort, we were able to uncover connections with spin chains already at this stage of our investigation.…”
Section: Introductionmentioning
confidence: 99%