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High Energy Physics - Theory, hep-th,Mathematics, Number Theory, math.NT
Abstract:
We consider a generalization of elliptic multiple zeta values, which we call
twisted elliptic multiple zeta values. These arise as iterated integrals on an
elliptic curve from which a rational lattice has been removed. At the cusp,
twisted elliptic multiple zeta values are shown to degenerate to cyclotomic
multiple zeta values in the same way as elliptic multiple zeta values
degenerate to classical multiple zeta values. We investigate properties of
twisted elliptic multiple zeta values and consider them in the context of the
non-planar part of the four-point one-loop open-string amplitude.
