Two-Loop Superstrings VII, Cohomology of Chiral Amplitudes
| dc.creator | D'Hoker, Eric | |
| dc.creator | Phong, D. H. | |
| dc.date | 2007-11-27 | |
| dc.date.accessioned | 2026-07-07T11:54:24Z | |
| dc.date.available | 2026-07-07T11:54:24Z | |
| dc.description | The relation between superholomorphicity and holomorphicity of chiral superstring N-point amplitudes for NS bosons on a genus 2 Riemann surface is shown to be encoded in a hybrid cohomology theory, incorporating elements of both de Rham and Dolbeault cohomologies. A constructive algorithm is provided which shows that, for arbitrary N and for each fixed even spin structure, the hybrid cohomology classes of the chiral amplitudes of the N-point function on a surface of genus 2 always admit a holomorphic representative. Three key ingredients in the derivation are a classification of all kinematic invariants for the N-point function, a new type of 3-point Green's function, and a recursive construction by monodromies of certain sections of vector bundles over the moduli space of Riemann surfaces, holomorphic in all but exactly one or two insertion points. | |
| dc.description | 103 pages, 2 figures | |
| dc.identifier | https://arxiv.org/abs/0711.4314 | |
| dc.identifier | http://arxiv.org/abs/0711.4314 | |
| dc.identifier | Nucl.Phys.B804:421-506,2008 | |
| dc.identifier | doi:10.1016/j.nuclphysb.2008.04.030 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/204888 | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | Complex Variables | |
| dc.title | Two-Loop Superstrings VII, Cohomology of Chiral Amplitudes | |
| dc.type | text |