Conformal field theory and elliptic cohomology

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Abstract

Elliptic cohomology Ell* is one of the so-called complex-oriented cohomology theories which generalizes the complex K-Theory and from which does not exist yet an strict geometric construction. Because the supercharge of the supersymmetric nonlinear sigma model plays a role similar to the role of the Dirac operator in K-theory, in this work we survey the string theory structure as one of the ingredients that would gives rise to a geometric construction for Ell*.

Original languageEnglish
Title of host publicationADVANCED SUMMER SCHOOL IN PHYSICS 2005
Subtitle of host publicationFrontiers in Contemporary Physics EAV05
Pages96-98
Number of pages3
DOIs
StatePublished - 6 Jan 2006
Externally publishedYes
EventADVANCED SUMMER SCHOOL IN PHYSICS 2005: Frontiers in Contemporary Physics EAV05 - Mexico City, Mexico
Duration: 11 Jul 200522 Jul 2005

Publication series

NameAIP Conference Proceedings
Volume809
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Conference

ConferenceADVANCED SUMMER SCHOOL IN PHYSICS 2005: Frontiers in Contemporary Physics EAV05
Country/TerritoryMexico
CityMexico City
Period11/07/0522/07/05

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