Complex Geometry and Supergeometry

dc.creatorD'Hoker, Eric
dc.creatorPhong, D. H.
dc.date2005-12-15
dc.date.accessioned2026-07-07T08:26:30Z
dc.date.available2026-07-07T08:26:30Z
dc.descriptionComplex geometry and supergeometry are closely entertwined in superstring perturbation theory, since perturbative superstring amplitudes are formulated in terms of supergeometry, and yet should reduce to integrals of holomorphic forms on the moduli space of punctured Riemann surfaces. The presence of supermoduli has been a major obstacle for a long time in carrying out this program. Recently, this obstacle has been overcome at genus 2, which is the first loop order where it appears in all amplitudes. An important ingredient is a better understanding of the relation between geometry and supergeometry, and between holomorphicity and superholomorphicity. This talk provides a survey of these developments and a brief discussion of the directions for further investigation.
dc.description42 pages
dc.identifierhttps://arxiv.org/abs/hep-th/0512197
dc.identifierhttp://arxiv.org/abs/hep-th/0512197
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/136960
dc.subjectHigh Energy Physics - Theory
dc.subjectComplex Variables
dc.titleComplex Geometry and Supergeometry
dc.typetext

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