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Communications in Mathematical Physics
Article . 1997 . Peer-reviewed
License: Springer TDM
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https://dx.doi.org/10.48550/ar...
Article . 1997
License: arXiv Non-Exclusive Distribution
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Vector Bundles and F Theory

Vector bundles and \(F\) theory
Authors: Friedman, Robert; Morgan, John; Witten, Edward;

Vector Bundles and F Theory

Abstract

To understand in detail duality between heterotic string and F theory compactifications, it is important to understand the construction of holomorphic G bundles over elliptic Calabi-Yau manifolds, for various groups G. In this paper, we develop techniques to describe the bundles, and make several detailed comparisons between the heterotic string and F theory.

93 pp., harvmac. Section 4.4 has been extended with additional Comments relating F theory intermediate Jacobians to heterotic string bundles

Keywords

High Energy Physics - Theory, \(F\) theory moduli spaces, holomorphic \(G\) bundles over elliptic Calabi-Yau manifolds, FOS: Physical sciences, Sheaves, derived categories of sheaves, etc., String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Calabi-Yau manifolds (algebro-geometric aspects), characteristic class, Mathematics - Algebraic Geometry, High Energy Physics - Theory (hep-th), Holomorphic bundles and generalizations, FOS: Mathematics, Algebraic Geometry (math.AG), heterotic string

  • BIP!
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    selected citations
    These citations are derived from selected sources.
    This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    294
    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    Top 10%
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    Top 1%
    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
    Top 1%
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
294
Top 10%
Top 1%
Top 1%
Green
bronze