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
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).
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 $E_{5/2}$.
Text
1504.02759v1
- Accepted Manuscript
More information
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
Catalogue record
Date deposited: 16 Oct 2019 16:30
Last modified: 17 Mar 2024 03:33
Export record
Altmetrics
Contributors
Author:
Humberto Gomez
Author:
Oliver Schlotterer
Download statistics
Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.
View more statistics
