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  The two-loop superstring five-point amplitude and S-duality

Schlotterer, O., Gomez, H., & Mafra, C. R. (2016). The two-loop superstring five-point amplitude and S-duality. Physical Review D, 93: 045030. doi:10.1103/PhysRevD.93.045030.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0026-AC12-4 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-002A-3BDA-B
Genre: Journal Article

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1504.02759v1.pdf (Any fulltext), 373KB
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PhysRevD.93.045030.pdf (Any fulltext), 340KB
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 Creators:
Schlotterer, Oliver1, Author              
Gomez, Humberto, Author
Mafra, Carlos R.2, Author              
Affiliations:
1Quantum Gravity and Unified Theories, AEI Golm, MPI for Gravitational Physics, Max Planck Society, escidoc:24014              
2Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, escidoc:24014              

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 Abstract: The low-energy limit of the massless two-loop five-point amplitudes for both type IIA and type IIB superstrings is computed with the pure spinor formalism and its overall coefficient determined from first principles. For the type IIB theory, the five-graviton amplitude is found to be proportional to its tree-level counterpart at the corresponding order in α′. Their ratio ties in with expectations based on S-duality since it matches the same modular function E5/2 which relates the two-loop and tree-level four-graviton amplitudes. For R-symmetry violating states, the ratio between tree-level and two-loop amplitudes at the same α′-order carries an additional factor of −3/5. Its S-duality origin can be traced back to a modular form derived from E5/2.

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 Dates: 201520162016
 Publication Status: Published in print
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 Identifiers: arXiv: arXiv:1504.02759
DOI: 10.1103/PhysRevD.93.045030
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Title: Physical Review D
  Other : Phys. Rev. D.
Source Genre: Journal
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Publ. Info: Lancaster, Pa. : American Physical Society
Pages: - Volume / Issue: 93 Sequence Number: 045030 Start / End Page: - Identifier: ISSN: 0556-2821
CoNE: http://pubman.mpdl.mpg.de/cone/journals/resource/111088197762258