4-point effective actions in open and closed superstring theory

Abstract

Recently the effective action for the 4-point functions in abelian open superstring theory has been derived, giving an explicit construction of the bosonic and fermionic terms of this infinite ${\alpha }^{\prime }$ series. In the present work we generalize this result to the nonabelian case. We test our result, at ${{\alpha }^{\prime }}^3$ and ${{\alpha }^{\prime }}^4$ order, with several existing versions for these terms, finding agreement in most of the cases. We also apply these ideas to derive the effective action for the 4-point functions of the NS-NS sector of closed superstring theory, to all order in ${\alpha }^{\prime }$.

26 pages, 1 figure. To appear in JHEP

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