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Relations between elliptic modular graphs
Anirban Basu
We consider certain elliptic modular graph functions that arise in the asymptotic expansion around the non--separating node of genus two string invariants that appear in the integr…
Poisson equations for elliptic modular graph functions
Anirban Basu
We obtain Poisson equations satisfied by elliptic modular graph functions with four links. Analysis of these equations leads to a non--trivial algebraic relation between the variou…
Zero mode of the Fourier series of some modular graphs from Poincare series
Anirban Basu
We consider specific linear combinations of two loop modular graph functions on the toroidal worldsheet with links for and . In each case, it satisfies an eigenval…
Worldsheet (anti)instanton bound states in type II on
Anirban Basu
The 1/8 BPS coupling in type II string theory compactified on receives contributions from worldsheet instantons and anti-instantons wrapping the , up…