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Title: Conformal Field Theory and Elliptic Cohomology

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*.

Authors:
 [1]
  1. Departamento de Fisica, Centro de Investigacion y de Estudios Avanzados del IPN, P.O. Box 14-740, 07000 Mexico D.F. (Mexico)
Publication Date:
OSTI Identifier:
20787701
Resource Type:
Journal Article
Resource Relation:
Journal Name: AIP Conference Proceedings; Journal Volume: 809; Journal Issue: 1; Conference: EAV05: Advanced summer school in physics 2005: Frontiers in contemporary physics, Mexico City (Mexico), 11-22 Jul 2005; Other Information: DOI: 10.1063/1.2160974; (c) 2006 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; ALGEBRA; CONFORMAL INVARIANCE; DIRAC OPERATORS; NONLINEAR PROBLEMS; QUANTUM FIELD THEORY; SIGMA MODEL; STRING MODELS; SUPERSYMMETRY

Citation Formats

Paniagua, Pablo. Conformal Field Theory and Elliptic Cohomology. United States: N. p., 2006. Web. doi:10.1063/1.2160974.
Paniagua, Pablo. Conformal Field Theory and Elliptic Cohomology. United States. doi:10.1063/1.2160974.
Paniagua, Pablo. Fri . "Conformal Field Theory and Elliptic Cohomology". United States. doi:10.1063/1.2160974.
@article{osti_20787701,
title = {Conformal Field Theory and Elliptic Cohomology},
author = {Paniagua, Pablo},
abstractNote = {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*.},
doi = {10.1063/1.2160974},
journal = {AIP Conference Proceedings},
number = 1,
volume = 809,
place = {United States},
year = {Fri Jan 06 00:00:00 EST 2006},
month = {Fri Jan 06 00:00:00 EST 2006}
}
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