On the finiteness of the superstring

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Original languageEnglish
Pages (from-to)82-106
Number of pages25
JournalNuclear Physics, Section B
Volume322
Issue number1
Publication statusPublished - 7 Aug 1989
Externally publishedYes

Abstract

We show the off-shell vanishing of all massless two-loop amplitudes with less than four particles for closed superstrings in ten-dimensional flat spacetime. This is achieved by employing a non-singular, unitary gauge in the period matrix representation of the Polyakov path integral. Locating the picture-changing operators at the zeroes of a particular holomorphic one-form allows us to sum over spin structures by virtue of the Riemann identity. We test our results in the factorization limit and comment on the structure of the two-loop four-point function.

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On the finiteness of the superstring. / Lechtenfeld, Olaf.
In: Nuclear Physics, Section B, Vol. 322, No. 1, 07.08.1989, p. 82-106.

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Lechtenfeld O. On the finiteness of the superstring. Nuclear Physics, Section B. 1989 Aug 7;322(1):82-106. doi: 10.1016/0550-3213(89)90486-0
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