On the pole structures of the disconnected part of hyper elliptic g loop M point super string amplitudes

Understand

Structures of the disconnected part of higher genus superstring amplitudes restricted to the hyper elliptic cases are investigated in the NSR formalism, based on the DHoker Phong and recent results.

• A set of equations, which we can regard as a basic tool to sum over the spin structures of any of g loop, M point amplitudes systematically, is shown by using a classical result of Abelian functions.
• We discuss structures of g loop, M point massless external boson superstring amplitudes by assuming that the spin structure dependence of any of the disconnected amplitudes is only on one kind of constants, the genus g Weierstrass Pe function valued at the summation of g number of half periods chosen out of 2g+1 half periods.
• This is a natural generalization of the case of genus 1.