Details
| Original language | English |
|---|---|
| Pages (from-to) | 39-82 |
| Number of pages | 44 |
| Journal | Nuclear Physics, Section B |
| Volume | 332 |
| Issue number | 1 |
| Publication status | Published - 26 Feb 1990 |
| Externally published | Yes |
Abstract
We present results for g-loop superstring amplitudes obtained by explicitly performing the sum over spin structures in the spinning string formulation. We do this by placing the picture changing operators at the zeroes of an arbitrary holomorphic one-form. Fay's trisecant identity is used extensively to simplify the expressions until the Riemann identity can be applied. We analyze massless bosonic N-point functions, and our methods are powerful enough to treat g + N ≤ 8 (and g ≤ 2 for the ghost part); well beyond previous limits. For these cases we establish the vanishing of the cosmological constant and the non-renormalization theorem. Finally we evaluate the two-loop four-boson amplitude in theta-function language for the first time. All of our considerations are local in moduli space.
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Nuclear and High Energy Physics
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In: Nuclear Physics, Section B, Vol. 332, No. 1, 26.02.1990, p. 39-82.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - On covariant multi-loop superstring amplitudes
AU - Lechtenfeld, Olaf
AU - Parkes, Andrew
N1 - Funding Information: One of us (O.L.) is gratefult o the Physics Departmentosf UC at Davis and of Caltech.w herethis projectw as startedO. .L. was partiallys upportedb y NSF grant NSF-PHY-82-15364a nd DOE grant DE-AC02-83ER40107A: .P. was supportedin part by the US Departmenotf Energy. Copyright: Copyright 2015 Elsevier B.V., All rights reserved.
PY - 1990/2/26
Y1 - 1990/2/26
N2 - We present results for g-loop superstring amplitudes obtained by explicitly performing the sum over spin structures in the spinning string formulation. We do this by placing the picture changing operators at the zeroes of an arbitrary holomorphic one-form. Fay's trisecant identity is used extensively to simplify the expressions until the Riemann identity can be applied. We analyze massless bosonic N-point functions, and our methods are powerful enough to treat g + N ≤ 8 (and g ≤ 2 for the ghost part); well beyond previous limits. For these cases we establish the vanishing of the cosmological constant and the non-renormalization theorem. Finally we evaluate the two-loop four-boson amplitude in theta-function language for the first time. All of our considerations are local in moduli space.
AB - We present results for g-loop superstring amplitudes obtained by explicitly performing the sum over spin structures in the spinning string formulation. We do this by placing the picture changing operators at the zeroes of an arbitrary holomorphic one-form. Fay's trisecant identity is used extensively to simplify the expressions until the Riemann identity can be applied. We analyze massless bosonic N-point functions, and our methods are powerful enough to treat g + N ≤ 8 (and g ≤ 2 for the ghost part); well beyond previous limits. For these cases we establish the vanishing of the cosmological constant and the non-renormalization theorem. Finally we evaluate the two-loop four-boson amplitude in theta-function language for the first time. All of our considerations are local in moduli space.
UR - http://www.scopus.com/inward/record.url?scp=0002495449&partnerID=8YFLogxK
U2 - 10.1016/0550-3213(90)90030-H
DO - 10.1016/0550-3213(90)90030-H
M3 - Article
AN - SCOPUS:0002495449
VL - 332
SP - 39
EP - 82
JO - Nuclear Physics, Section B
JF - Nuclear Physics, Section B
SN - 0550-3213
IS - 1
ER -