# 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:

- 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}

}

DOI: 10.1063/1.2160974

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