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

The two-loop superstring five-point amplitude and S-duality
The two-loop superstring five-point amplitude and S-duality
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 $\alpha'$. Their ratio ties in with expectations based on S-duality since it matches the same modular function $E_{5/2}$ 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 $\alpha'$-order carries an additional factor of $-3/5$. Its S-duality origin can be traced back to a modular form derived from $E_{5/2}$.
hep-th
1550-7998
Gomez, Humberto
33283b17-811f-4955-b213-520c61c73e6e
Mafra, Carlos R.
5a40c14f-0ddb-4c0c-9ce5-acabc537cd01
Schlotterer, Oliver
d30fbe50-b9eb-489a-ad79-0dd212ef4e0e
Gomez, Humberto
33283b17-811f-4955-b213-520c61c73e6e
Mafra, Carlos R.
5a40c14f-0ddb-4c0c-9ce5-acabc537cd01
Schlotterer, Oliver
d30fbe50-b9eb-489a-ad79-0dd212ef4e0e

Gomez, Humberto, Mafra, Carlos R. and Schlotterer, Oliver (2016) The two-loop superstring five-point amplitude and S-duality. Physical Review D, 93 (4), [045030]. (doi:10.1103/PhysRevD.93.045030).

Record type: Article

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 $\alpha'$. Their ratio ties in with expectations based on S-duality since it matches the same modular function $E_{5/2}$ 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 $\alpha'$-order carries an additional factor of $-3/5$. Its S-duality origin can be traced back to a modular form derived from $E_{5/2}$.

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1504.02759v1 - Accepted Manuscript
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e-pub ahead of print date: 24 February 2016
Keywords: hep-th

Identifiers

Local EPrints ID: 434938
URI: http://eprints.soton.ac.uk/id/eprint/434938
ISSN: 1550-7998
PURE UUID: 0c071694-fa88-4511-aaba-4c1107fb3846
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 Mar 2024 03:33

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Contributors

Author: Humberto Gomez
Author: Carlos R. Mafra ORCID iD
Author: Oliver Schlotterer

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