| dc.contributor.author | D'Hoker, E | en_US |
| dc.contributor.author | Green, MB | en_US |
| dc.date.accessioned | 2018-05-03T16:38:55Z | |
| dc.date.issued | 2014-01-01 | en_US |
| dc.date.submitted | 2018-04-30T11:29:19.746Z | |
| dc.identifier.issn | 0022-314X | en_US |
| dc.identifier.other | 10.1016/j.jnt.2014.03.021 | |
| dc.identifier.uri | http://qmro.qmul.ac.uk/xmlui/handle/123456789/36718 | |
| dc.description.abstract | The four-graviton amplitude in Type IIB superstring theory is invariant under the S-duality group SL(2,Z) acting on the complex coupling T. This amplitude contains a sum of effective interactions D2pR4 with coefficients that are modular functions of T whose form has been conjectured when p≤. 3. The weak coupling expansion of these coefficients can be calculated in superstring perturbation theory. We here show that the two-loop D6R4 term is proportional to the integral of an invariant introduced by Zhang and Kawazumi that is related to the Faltings invariant. The conjectured value of the two-loop superstring contribution to D6R4 leads us to a prediction for the integral of the Zhang-Kawazumi invariant over the moduli space of genus-two surfaces. We propose invariants corresponding to p>. 3, which generalize Zhang-Kawazumi invariants. © 2014. | en_US |
| dc.format.extent | 111 - 150 | en_US |
| dc.language.iso | en | en_US |
| dc.relation.ispartof | Journal of Number Theory | en_US |
| dc.rights | CC BY-NC-ND | |
| dc.title | Zhang-Kawazumi invariants and superstring amplitudes | en_US |
| dc.type | Article | |
| dc.rights.holder | Crown copyright © 2014 Published by Elsevier Inc. | |
| dc.identifier.doi | 10.1016/j.jnt.2014.03.021 | en_US |
| pubs.notes | Not known | en_US |
| pubs.publication-status | Published | en_US |
| pubs.volume | 144 | en_US |
