Dimensional Reduction of Nonlinear Gauge Theories
Author(s) -
Noriaki Ikeda,
K.-I. Izawa
Publication year - 2004
Publication title -
journal of high energy physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.998
H-Index - 261
eISSN - 1126-6708
pISSN - 1029-8479
DOI - 10.1088/1126-6708/2004/09/030
Subject(s) - lie algebroid , gauge theory , nonlinear system , sigma model , reduction (mathematics) , gauge (firearms) , quantum gauge theory , theoretical physics , mathematics , introduction to gauge theory , brst quantization , physics , gauge fixing , pure mathematics , mathematical physics , gauge boson , geometry , quantum mechanics , lie algebra , materials science , metallurgy
We investigate an extension of 2D nonlinear gauge theory from the Poissonsigma model based on Lie algebroid to a model with additional two-form gaugefields. Dimensional reduction of 3D nonlinear gauge theory yields an example ofsuch a model, which provides a realization of Courant algebroid by 2D nonlineargauge theory. We see that the reduction of the base structure genericallyresults in a modification of the target (algebroid) structure.Comment: 20 pages, crucial references adde
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