Two-loop superstring five-point amplitudes I: construction via chiral splitting and pure spinors
Two-loop superstring five-point amplitudes I: construction via chiral splitting and pure spinors
The full two-loop amplitudes for five massless states in Type~II and Heterotic superstrings are constructed in terms of convergent integrals over the genus-two moduli space of compact Riemann surfaces and integrals of Green functions and Abelian differentials on the surface. The construction combines elements from the BRST cohomology of the pure spinor formulation and from chiral splitting with the help of loop momenta and homology invariance. The $\alpha' \to 0$ limit of the resulting superstring amplitude is shown to be in perfect agreement with the previously known amplitude computed in Type~II supergravity. Investigations of the $\alpha'$ expansion of the Type~II amplitude and comparisons with predictions from S-duality are relegated to a first companion paper. A construction from first principles in the RNS formulation of the genus-two amplitude with five external NS states is relegated to a second companion paper.
hep-th
D'Hoker, Eric
fd16c7b3-a19f-4cca-9d6a-4d43b3297e25
Mafra, Carlos R.
5a40c14f-0ddb-4c0c-9ce5-acabc537cd01
Pioline, Boris
daebcf52-213f-43bd-a644-f1c19dcb9512
Schlotterer, Oliver
d30fbe50-b9eb-489a-ad79-0dd212ef4e0e
9 June 2020
D'Hoker, Eric
fd16c7b3-a19f-4cca-9d6a-4d43b3297e25
Mafra, Carlos R.
5a40c14f-0ddb-4c0c-9ce5-acabc537cd01
Pioline, Boris
daebcf52-213f-43bd-a644-f1c19dcb9512
Schlotterer, Oliver
d30fbe50-b9eb-489a-ad79-0dd212ef4e0e
D'Hoker, Eric, Mafra, Carlos R., Pioline, Boris and Schlotterer, Oliver
(2020)
Two-loop superstring five-point amplitudes I: construction via chiral splitting and pure spinors.
Pre-print.
Abstract
The full two-loop amplitudes for five massless states in Type~II and Heterotic superstrings are constructed in terms of convergent integrals over the genus-two moduli space of compact Riemann surfaces and integrals of Green functions and Abelian differentials on the surface. The construction combines elements from the BRST cohomology of the pure spinor formulation and from chiral splitting with the help of loop momenta and homology invariance. The $\alpha' \to 0$ limit of the resulting superstring amplitude is shown to be in perfect agreement with the previously known amplitude computed in Type~II supergravity. Investigations of the $\alpha'$ expansion of the Type~II amplitude and comparisons with predictions from S-duality are relegated to a first companion paper. A construction from first principles in the RNS formulation of the genus-two amplitude with five external NS states is relegated to a second companion paper.
Text
revised 2006.05270v2
- Accepted Manuscript
More information
Published date: 9 June 2020
Additional Information:
97 pages; minor typos corrected and minor edits in version 2
Keywords:
hep-th
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Local EPrints ID: 442627
URI: http://eprints.soton.ac.uk/id/eprint/442627
PURE UUID: c2ccd6fe-0165-4b19-adb8-5c5212260ceb
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Date deposited: 21 Jul 2020 16:34
Last modified: 17 Mar 2024 03:33
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Contributors
Author:
Eric D'Hoker
Author:
Boris Pioline
Author:
Oliver Schlotterer
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