Abstract
We consider some string invariants at genus two that appear in the analysis of the D8ℛ4 and D6ℛ5 interactions in type II string theory. We conjecture a Poisson equation involving them and the Kawazumi-Zhang invariant based on their asymptotic expansions around the non-separating node in the moduli space of genus two Riemann surfaces.
Highlights
JHEP04(2021)050 though the asymptotic expansion of various graphs with more than one link around the degenerating nodes of the genus two Riemann surface have been analyzed in detail [28, 29]
We consider some string invariants at genus two that appear in the analysis of the D8R4 and D6R5 interactions in type II string theory
Based on the asymptotic expansions around the non-separating node of the genus two Riemann surface of several graphs that arise in the analysis of the D8R4 and the D6R5 interactions, we shall argue that there is a candidate Poisson equation that arises naturally involving these graphs as well as the KZ invariant, which we conjecture to be true over all of moduli space
Summary
JHEP04(2021)050 though the asymptotic expansion of various graphs with more than one link around the degenerating nodes of the genus two Riemann surface have been analyzed in detail [28, 29]. We conjecture a Poisson equation involving them and the Kawazumi-Zhang invariant based on their asymptotic expansions around the non-separating node in the moduli space of genus two Riemann surfaces.
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