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One-loop superstring six-point amplitudes and anomalies in pure spinor superspace

One-loop superstring six-point amplitudes and anomalies in pure spinor superspace
One-loop superstring six-point amplitudes and anomalies in pure spinor superspace
We present the massless six-point one-loop amplitudes in the open and closed superstring using BRST cohomology arguments from the pure spinor formalism. The hexagon gauge anomaly is traced back to a class of kinematic factors in pure spinor superspace which were recently introduced as BRST pseudo-invariants. This complements previous work where BRST invariance arguments were used to derive the non-anomalous part of the amplitude. The associated worldsheet functions are non-singular and demonstrated to yield total derivatives on moduli space upon gauge variation. These cohomology considerations yield an efficient organizing principle for closed-string amplitudes that match expectations from S-duality in the low-energy limit.
hep-th
1029-8479
1-30
Mafra, Carlos R.
5a40c14f-0ddb-4c0c-9ce5-acabc537cd01
Schlotterer, Oliver
d30fbe50-b9eb-489a-ad79-0dd212ef4e0e
Mafra, Carlos R.
5a40c14f-0ddb-4c0c-9ce5-acabc537cd01
Schlotterer, Oliver
d30fbe50-b9eb-489a-ad79-0dd212ef4e0e

Mafra, Carlos R. and Schlotterer, Oliver (2016) One-loop superstring six-point amplitudes and anomalies in pure spinor superspace. Journal of High Energy Physics, 1-30. (doi:10.1007/JHEP04(2016)148).

Record type: Article

Abstract

We present the massless six-point one-loop amplitudes in the open and closed superstring using BRST cohomology arguments from the pure spinor formalism. The hexagon gauge anomaly is traced back to a class of kinematic factors in pure spinor superspace which were recently introduced as BRST pseudo-invariants. This complements previous work where BRST invariance arguments were used to derive the non-anomalous part of the amplitude. The associated worldsheet functions are non-singular and demonstrated to yield total derivatives on moduli space upon gauge variation. These cohomology considerations yield an efficient organizing principle for closed-string amplitudes that match expectations from S-duality in the low-energy limit.

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1603.04790v2 - Accepted Manuscript
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More information

Published date: 26 April 2016
Additional Information: harvmac TeX, 35 pages; v2: cosmetic changes, typos corrected, references updated, published version
Keywords: hep-th

Identifiers

Local EPrints ID: 435034
URI: http://eprints.soton.ac.uk/id/eprint/435034
ISSN: 1029-8479
PURE UUID: 862a5de2-1b89-492b-8ab9-72b3733aa55c
ORCID for Carlos R. Mafra: ORCID iD orcid.org/0000-0001-9842-9654

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Date deposited: 18 Oct 2019 16:30
Last modified: 17 Mar 2024 03:33

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Author: Carlos R. Mafra ORCID iD
Author: Oliver Schlotterer

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