Amplitudes involving massive states using pure spinor formalism

Abstract Same amplitudes evaluated independently using RNS and pure spinor formalism are expected to agree. While for massless states, this fact has been firmly established, for massive states such an explicit check has been lacking so far. We compute all massless-massless-massive 3-point functions...

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Main Authors: Subhroneel Chakrabarti, Sitender Pratap Kashyap, Mritunjay Verma
Format: Article
Language:English
Published: SpringerOpen 2018-12-01
Series:Journal of High Energy Physics
Subjects:
Online Access:http://link.springer.com/article/10.1007/JHEP12(2018)071
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author Subhroneel Chakrabarti
Sitender Pratap Kashyap
Mritunjay Verma
author_facet Subhroneel Chakrabarti
Sitender Pratap Kashyap
Mritunjay Verma
author_sort Subhroneel Chakrabarti
collection DOAJ
description Abstract Same amplitudes evaluated independently using RNS and pure spinor formalism are expected to agree. While for massless states, this fact has been firmly established, for massive states such an explicit check has been lacking so far. We compute all massless-massless-massive 3-point functions in open supertrings in pure spinor formalism for the first massive states and compare them with the corresponding RNS results. We fix the normalization of the vertex operators of the massive states by comparing same set of 3-point functions for a fixed ordering in the two formalisms. Once fixed, the subsequent 3-point functions for each inequivalent ordering match exactly. This extends the explicit demonstration of equivalence of pure spinor and RNS formalism from massless states to first massive states.
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spelling doaj.art-e4e55f1fd0d0444c9d9c0d1bc48a51132022-12-22T00:52:32ZengSpringerOpenJournal of High Energy Physics1029-84792018-12-0120181212610.1007/JHEP12(2018)071Amplitudes involving massive states using pure spinor formalismSubhroneel Chakrabarti0Sitender Pratap Kashyap1Mritunjay Verma2Harish-Chandra Research Institute, HBNIHarish-Chandra Research Institute, HBNIHarish-Chandra Research Institute, HBNIAbstract Same amplitudes evaluated independently using RNS and pure spinor formalism are expected to agree. While for massless states, this fact has been firmly established, for massive states such an explicit check has been lacking so far. We compute all massless-massless-massive 3-point functions in open supertrings in pure spinor formalism for the first massive states and compare them with the corresponding RNS results. We fix the normalization of the vertex operators of the massive states by comparing same set of 3-point functions for a fixed ordering in the two formalisms. Once fixed, the subsequent 3-point functions for each inequivalent ordering match exactly. This extends the explicit demonstration of equivalence of pure spinor and RNS formalism from massless states to first massive states.http://link.springer.com/article/10.1007/JHEP12(2018)071Superstrings and Heterotic StringsSuperspaces
spellingShingle Subhroneel Chakrabarti
Sitender Pratap Kashyap
Mritunjay Verma
Amplitudes involving massive states using pure spinor formalism
Journal of High Energy Physics
Superstrings and Heterotic Strings
Superspaces
title Amplitudes involving massive states using pure spinor formalism
title_full Amplitudes involving massive states using pure spinor formalism
title_fullStr Amplitudes involving massive states using pure spinor formalism
title_full_unstemmed Amplitudes involving massive states using pure spinor formalism
title_short Amplitudes involving massive states using pure spinor formalism
title_sort amplitudes involving massive states using pure spinor formalism
topic Superstrings and Heterotic Strings
Superspaces
url http://link.springer.com/article/10.1007/JHEP12(2018)071
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AT sitenderpratapkashyap amplitudesinvolvingmassivestatesusingpurespinorformalism
AT mritunjayverma amplitudesinvolvingmassivestatesusingpurespinorformalism