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  Fermionic one-loop amplitudes of the RNS superstring

Lee, S., & Schlotterer, O. (2018). Fermionic one-loop amplitudes of the RNS superstring. Journal of high energy physics: JHEP, 2018(03): 190. doi:10.1007/JHEP03(2018)190.

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Item Permalink: http://hdl.handle.net/21.11116/0000-0000-3DF2-B Version Permalink: http://hdl.handle.net/21.11116/0000-0002-F668-4
Genre: Journal Article

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 Creators:
Lee , Seungjin, Author
Schlotterer, Oliver1, Author              
Affiliations:
1Quantum Gravity and Unified Theories, AEI Golm, MPI for Gravitational Physics, Max Planck Society, ou_24014              

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Free keywords: High Energy Physics - Theory, hep-th
 Abstract: We investigate massless n-point one-loop amplitudes of the open RNS superstring with two external fermions and determine their worldsheet integrands. The contributing correlation functions involving spin-1/2 and spin-3/2 operators from the fermion vertices are evaluated to any multiplicity. Moreover, we introduce techniques to sum these correlators over the spin structures of the worldsheet fermions such as to manifest all cancellations due to spacetime supersymmetry. These spin sums require generalizations of the Riemann identities among Jacobi theta functions, and the results can be expressed in terms of doubly-periodic functions known from the mathematics literature on elliptic multiple zeta values. On the boundary of moduli space, our spin-summed correlators specialize to compact representations of fermionic one-loop integrands for ambitwistor strings.

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 Dates: 2017-10-192018
 Publication Status: Published in print
 Pages: 42+24 pages
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 Table of Contents: -
 Rev. Method: -
 Identifiers: arXiv: 1710.07353
URI: http://arxiv.org/abs/1710.07353
DOI: 10.1007/JHEP03(2018)190
 Degree: -

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Title: Journal of high energy physics : JHEP
Source Genre: Journal
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Publ. Info: Bologna, Italy : Società italiana di fisica
Pages: - Volume / Issue: 2018 (03) Sequence Number: 190 Start / End Page: - Identifier: ISSN: 1126-6708
CoNE: /journals/resource/111021927548002