Calabi-Yau metrics for quotients and complete intersections

doi:10.1088/1126-6708/2008/05/080

Title: Calabi-Yau metrics for quotients and complete intersections

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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:

Braun, Volker ^[1]; Brelidze, Tamaz ^[1]; Douglas, Michael R. ^[2]; Ovrut, Burt A. ^[1]

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

Publication Date:: 2008-05-22

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.

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                    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.

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                    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.

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@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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DOI: 10.1088/1126-6708/2008/05/080

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