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Title: 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:
 [1];  [1];  [2];  [1]
  1. Univ. of Pennsylvania, Philadelphia, PA (United States)
  2. 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}
}

Journal Article:
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