Generalized higher gauge theory

Patricia Ritter; Christian Saemann; Lennart Schmidt

doi:10.1007/JHEP04(2016)032

Generalized higher gauge theory

Patricia Ritter, Christian Saemann, Lennart Schmidt

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

5 Citations (Scopus)

43 Downloads (Pure)

Abstract

We study a generalization of higher gauge theory which makes use of generalized geometry and seems to be closely related to double field theory. The local kinematical data of this theory is captured by morphisms of graded manifolds between the canonical exact Courant Lie 2-algebroid $TM\oplus T^*M$ over some manifold $M$ and a semistrict gauge Lie 2-algebra. We discuss generalized curvatures and their infinitesimal gauge transformations. Finite gauge transformation as well as global kinematical data are then obtained from principal 2-bundles over 2-spaces. As dynamical principle, we consider first the canonical Chern-Simons action for such a gauge theory. We then show that a previously proposed 3-Lie algebra model for the six-dimensional (2,0) theory is very naturally interpreted as a generalized higher gauge theory.

Original language	English
Article number	32
Journal	Journal of High Energy Physics
Volume	2016
Issue number	4
Early online date	6 Apr 2016
DOIs	https://doi.org/10.1007/JHEP04(2016)032
Publication status	Published - Apr 2016

Keywords

hep-th
math-ph
math.MP

Access to Document

10.1007/JHEP04(2016)032

Download pdf
© The Author(s) 2016. This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
Final published version, 448 KBLicence: Creative Commons: Attribution (CC-BY)

Cite this

@article{22b18e0ff41a4a73a33820152424d71c,

title = "Generalized higher gauge theory",

abstract = "We study a generalization of higher gauge theory which makes use of generalized geometry and seems to be closely related to double field theory. The local kinematical data of this theory is captured by morphisms of graded manifolds between the canonical exact Courant Lie 2-algebroid $TM\oplus T^*M$ over some manifold $M$ and a semistrict gauge Lie 2-algebra. We discuss generalized curvatures and their infinitesimal gauge transformations. Finite gauge transformation as well as global kinematical data are then obtained from principal 2-bundles over 2-spaces. As dynamical principle, we consider first the canonical Chern-Simons action for such a gauge theory. We then show that a previously proposed 3-Lie algebra model for the six-dimensional (2,0) theory is very naturally interpreted as a generalized higher gauge theory.",

keywords = "hep-th, math-ph, math.MP",

author = "Patricia Ritter and Christian Saemann and Lennart Schmidt",

note = "24 pages, minor corrections, typos fixed, published version. {"}Article funded by SCOAP3.{"}",

year = "2016",

month = apr,

doi = "10.1007/JHEP04(2016)032",

language = "English",

volume = "2016",

journal = "Journal of High Energy Physics",

issn = "1126-6708",

publisher = "Springer",

number = "4",

}

TY - JOUR

T1 - Generalized higher gauge theory

AU - Ritter, Patricia

AU - Saemann, Christian

AU - Schmidt, Lennart

N1 - 24 pages, minor corrections, typos fixed, published version. "Article funded by SCOAP3."

PY - 2016/4

Y1 - 2016/4

N2 - We study a generalization of higher gauge theory which makes use of generalized geometry and seems to be closely related to double field theory. The local kinematical data of this theory is captured by morphisms of graded manifolds between the canonical exact Courant Lie 2-algebroid $TM\oplus T^*M$ over some manifold $M$ and a semistrict gauge Lie 2-algebra. We discuss generalized curvatures and their infinitesimal gauge transformations. Finite gauge transformation as well as global kinematical data are then obtained from principal 2-bundles over 2-spaces. As dynamical principle, we consider first the canonical Chern-Simons action for such a gauge theory. We then show that a previously proposed 3-Lie algebra model for the six-dimensional (2,0) theory is very naturally interpreted as a generalized higher gauge theory.

AB - We study a generalization of higher gauge theory which makes use of generalized geometry and seems to be closely related to double field theory. The local kinematical data of this theory is captured by morphisms of graded manifolds between the canonical exact Courant Lie 2-algebroid $TM\oplus T^*M$ over some manifold $M$ and a semistrict gauge Lie 2-algebra. We discuss generalized curvatures and their infinitesimal gauge transformations. Finite gauge transformation as well as global kinematical data are then obtained from principal 2-bundles over 2-spaces. As dynamical principle, we consider first the canonical Chern-Simons action for such a gauge theory. We then show that a previously proposed 3-Lie algebra model for the six-dimensional (2,0) theory is very naturally interpreted as a generalized higher gauge theory.

KW - hep-th

KW - math-ph

KW - math.MP

U2 - 10.1007/JHEP04(2016)032

DO - 10.1007/JHEP04(2016)032

M3 - Article

SN - 1126-6708

VL - 2016

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

IS - 4

M1 - 32

ER -

Generalized higher gauge theory

Abstract

Keywords

Access to Document

Fingerprint

Cite this