## Calabi-Yau metrics for quotients and complete intersections

## Abstract

We extend previous computations of Calabi-Yau metrics on projective hypersurfaces to free quotients, complete intersections, and free quotients of complete intersections. In particular, we construct these metrics on generic quintics, four-generation quotients of the quintic, Schoen Calabi-Yau complete intersections and the quotient of a Schoen manifold with Z₃ x Z₃ fundamental group that was previously used to construct a heterotic standard model. Various numerical investigations into the dependence of Donaldson's algorithm on the integration scheme, as well as on the Kähler and complex structure moduli, are also performed.

- Authors:

- Univ. of Pennsylvania, Philadelphia, PA (United States)
- Rutgers Univ., Piscataway, NJ (United States)

- Publication Date:

- Research Org.:
- Univ. of Pennsylvania, Philadelphia, PA (United States)

- Sponsoring Org.:
- USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)

- OSTI Identifier:
- 1201591

- Grant/Contract Number:
- FG02-95ER40893

- Resource Type:
- Accepted Manuscript

- Journal Name:
- Journal of High Energy Physics (Online)

- Additional Journal Information:
- Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2008; Journal Issue: 05; Journal ID: ISSN 1029-8479

- Publisher:
- Springer Berlin

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Calabi-Yau metrics; mathematical physics; particle physics and field theory

### Citation Formats

```
Braun, Volker, Brelidze, Tamaz, Douglas, Michael R., and Ovrut, Burt A. Calabi-Yau metrics for quotients and complete intersections. United States: N. p., 2008.
Web. doi:10.1088/1126-6708/2008/05/080.
```

```
Braun, Volker, Brelidze, Tamaz, Douglas, Michael R., & Ovrut, Burt A. Calabi-Yau metrics for quotients and complete intersections. United States. doi:10.1088/1126-6708/2008/05/080.
```

```
Braun, Volker, Brelidze, Tamaz, Douglas, Michael R., and Ovrut, Burt A. Thu .
"Calabi-Yau metrics for quotients and complete intersections". United States. doi:10.1088/1126-6708/2008/05/080. https://www.osti.gov/servlets/purl/1201591.
```

```
@article{osti_1201591,
```

title = {Calabi-Yau metrics for quotients and complete intersections},

author = {Braun, Volker and Brelidze, Tamaz and Douglas, Michael R. and Ovrut, Burt A.},

abstractNote = {We extend previous computations of Calabi-Yau metrics on projective hypersurfaces to free quotients, complete intersections, and free quotients of complete intersections. In particular, we construct these metrics on generic quintics, four-generation quotients of the quintic, Schoen Calabi-Yau complete intersections and the quotient of a Schoen manifold with Z₃ x Z₃ fundamental group that was previously used to construct a heterotic standard model. Various numerical investigations into the dependence of Donaldson's algorithm on the integration scheme, as well as on the Kähler and complex structure moduli, are also performed.},

doi = {10.1088/1126-6708/2008/05/080},

journal = {Journal of High Energy Physics (Online)},

number = 05,

volume = 2008,

place = {United States},

year = {2008},

month = {5}

}

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