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Amplitudes involving massive states using pure spinor formalism

Amplitudes involving massive states using pure spinor formalism
Amplitudes involving massive states using pure spinor formalism
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.
1029-8479
Chakrabarti, Subhroneel
0eec7374-8d89-4cb8-b1a1-67a39541b50b
Kashyap, Sitender Pratap
2439c611-b9f3-444e-83a2-c1a98a1c110a
Verma, Mritunjay
eefb3825-946d-406e-9f92-c80ba123a3bb
Chakrabarti, Subhroneel
0eec7374-8d89-4cb8-b1a1-67a39541b50b
Kashyap, Sitender Pratap
2439c611-b9f3-444e-83a2-c1a98a1c110a
Verma, Mritunjay
eefb3825-946d-406e-9f92-c80ba123a3bb

Chakrabarti, Subhroneel, Kashyap, Sitender Pratap and Verma, Mritunjay (2018) Amplitudes involving massive states using pure spinor formalism. JHEP, 2018, [71]. (doi:10.1007/JHEP12(2018)071).

Record type: Article

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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More information

Accepted/In Press date: 6 December 2018
Published date: 12 December 2018

Identifiers

Local EPrints ID: 467482
URI: http://eprints.soton.ac.uk/id/eprint/467482
ISSN: 1029-8479
PURE UUID: 62494fb5-35e8-4776-9bc9-ef54c7f0ffaf
ORCID for Mritunjay Verma: ORCID iD orcid.org/0000-0002-2140-4843

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Date deposited: 11 Jul 2022 16:40
Last modified: 16 Mar 2024 17:06

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Contributors

Author: Subhroneel Chakrabarti
Author: Sitender Pratap Kashyap
Author: Mritunjay Verma ORCID iD

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