Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: New relations between analyticity, Regge trajectories, Veneziano
  amplitude, and Moebius transformations   In this paper we use the analyticity properties of the scattering amplitude
in the context of the conformal mapping techniques. The Schwarz-Christoffel and
Riemann-Schwarz functions are used to map the upper half -plane onto a
triangle. We use the known asymptotic and threshold behaviors of the scattering
amplitude to establish a connection between the values of the Regge trajectory
functions and the angles of the triangle. This geometrical interpretation
allows a link between values of the Regge trajectory functions and the
generators of the invariance group of Moebius transformations associated with
the underlying automorphic function. The formalism provides useful new
relations between analyticity, geometry, Regge trajectory functions, Veneziano
model, groups of Moebius transformations and automorphic functions. It is hoped
that they will provide avenues for further work.

29
The categories of this paper are: funct-an
36
The categories of this paper are: cmp-lg
12
The categories of this paper are: nucl-th
5
The categories of this paper are: gr-qc
34
The categories of this paper are: chem-ph
10
The categories of this paper are: q-bio
17
The categories of this paper are: q-fin
11
The categories of this paper are: hep-lat
22
The categories of this paper are: chao-dyn
2
The categories of this paper are: math
6
The categories of this paper are: astro-ph
33
The categories of this paper are: plasm-ph
18
The categories of this paper are: econ
14
The categories of this paper are: math-ph
4
The categories of this paper are: cond-mat
9
The categories of this paper are: nlin