Nonabelian bundle gerbes, their differential geometry and gauge theory

Paolo Aschieri; Luigi Cantini; Branislav Jurčo

doi:10.1007/s00220-004-1220-6

Nonabelian bundle gerbes, their differential geometry and gauge theory

Paolo Aschieri
, Luigi Cantini
, Branislav Jurčo

Department of Science and Technological Innovation

Research output: Contribution to journal › Article › peer-review

Abstract

Bundle gerbes are a higher version of line bundles, we present nonabelian bundle gerbes as a higher version of principal bundles. Connection, curving, curvature and gauge transformations are studied both in a global coordinate independent formalism and in local coordinates. These are the gauge fields needed for the construction of Yang-Mills theories with 2-form gauge potential.

Original language	English
Pages (from-to)	367-400
Number of pages	34
Journal	Communications in Mathematical Physics
Volume	254
Issue number	2
DOIs	https://doi.org/10.1007/s00220-004-1220-6
Publication status	Published - Mar 2005

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title = "Nonabelian bundle gerbes, their differential geometry and gauge theory",

abstract = "Bundle gerbes are a higher version of line bundles, we present nonabelian bundle gerbes as a higher version of principal bundles. Connection, curving, curvature and gauge transformations are studied both in a global coordinate independent formalism and in local coordinates. These are the gauge fields needed for the construction of Yang-Mills theories with 2-form gauge potential.",

author = "Paolo Aschieri and Luigi Cantini and Branislav Jur{\v c}o",

year = "2005",

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doi = "10.1007/s00220-004-1220-6",

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AU - Aschieri, Paolo

AU - Cantini, Luigi

AU - Jurčo, Branislav

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N2 - Bundle gerbes are a higher version of line bundles, we present nonabelian bundle gerbes as a higher version of principal bundles. Connection, curving, curvature and gauge transformations are studied both in a global coordinate independent formalism and in local coordinates. These are the gauge fields needed for the construction of Yang-Mills theories with 2-form gauge potential.

AB - Bundle gerbes are a higher version of line bundles, we present nonabelian bundle gerbes as a higher version of principal bundles. Connection, curving, curvature and gauge transformations are studied both in a global coordinate independent formalism and in local coordinates. These are the gauge fields needed for the construction of Yang-Mills theories with 2-form gauge potential.

UR - https://www.scopus.com/pages/publications/13244264886

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DO - 10.1007/s00220-004-1220-6

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VL - 254

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JO - Communications in Mathematical Physics

JF - Communications in Mathematical Physics

IS - 2

ER -

Nonabelian bundle gerbes, their differential geometry and gauge theory

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