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Some superstring amplitude computations with the non-minimal pure spinor formalism

Some superstring amplitude computations with the non-minimal pure spinor formalism
Some superstring amplitude computations with the non-minimal pure spinor formalism
We use the non-minimal pure spinor formalism to compute in a super-Poincare covariant manner the four-point massless one and two-loop open superstring amplitudes, and the gauge anomaly of the six-point one-loop amplitude. All of these amplitudes are expressed as integrals of ten-dimensional superfields in a "pure spinor superspace" which involves five $\theta$ coordinates covariantly contracted with three pure spinors. The bosonic contribution to these amplitudes agrees with the standard results, and we demonstrate identities which show how the $t_8$ and $\epsilon_{10}$ tensors naturally emerge from integrals over pure spinor superspace.
hep-th
1029-8479
1-17
Berkovits, Nathan
cfb34f5e-c625-4bfb-b8a5-8007d2ef1fbd
Mafra, Carlos R.
5a40c14f-0ddb-4c0c-9ce5-acabc537cd01
Berkovits, Nathan
cfb34f5e-c625-4bfb-b8a5-8007d2ef1fbd
Mafra, Carlos R.
5a40c14f-0ddb-4c0c-9ce5-acabc537cd01

Berkovits, Nathan and Mafra, Carlos R. (2006) Some superstring amplitude computations with the non-minimal pure spinor formalism. Journal of High Energy Physics, 1-17. (doi:10.1088/1126-6708/2006/11/079).

Record type: Article

Abstract

We use the non-minimal pure spinor formalism to compute in a super-Poincare covariant manner the four-point massless one and two-loop open superstring amplitudes, and the gauge anomaly of the six-point one-loop amplitude. All of these amplitudes are expressed as integrals of ten-dimensional superfields in a "pure spinor superspace" which involves five $\theta$ coordinates covariantly contracted with three pure spinors. The bosonic contribution to these amplitudes agrees with the standard results, and we demonstrate identities which show how the $t_8$ and $\epsilon_{10}$ tensors naturally emerge from integrals over pure spinor superspace.

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0607187v1 - Accepted Manuscript
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More information

Published date: 27 November 2006
Additional Information: 20 pages, harvmac tex
Keywords: hep-th

Identifiers

Local EPrints ID: 434942
URI: http://eprints.soton.ac.uk/id/eprint/434942
ISSN: 1029-8479
PURE UUID: 51e481de-e4c5-4820-ad7a-dc02411f0d4e
ORCID for Carlos R. Mafra: ORCID iD orcid.org/0000-0001-9842-9654

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Date deposited: 16 Oct 2019 16:30
Last modified: 17 Oct 2019 00:31

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