Dimensional Reduction of Nonlinear Gauge Theories

Abstract

We investigate an extension of 2D nonlinear gauge theory from the Poisson sigma model based on Lie algebroid to a model with additional two-form gauge fields. Dimensional reduction of 3D nonlinear gauge theory yields an example of such a model, which provides a realization of Courant algebroid by 2D nonlinear gauge theory. We see that the reduction of the base structure generically results in a modification of the target (algebroid) structure.

arXiv comment20 pages, crucial references added

References in corpus (16)

• Consistent couplings between fields with a gauge freedom and deformations of the master equation
• Two-Dimensional Gravity and Nonlinear Gauge Theory
• Poisson Structure Induced (Topological) Field Theories
• Non-linear finite $W$-symmetries and applications in elementary systems
• Chern-Simons Gauge Theory coupled with BF Theory
• Poisson sigma models and deformation quantization
• General Form of Dilaton Gravity and Nonlinear Gauge Theory
• On Nonlinear Gauge Theory from a Deformation Theory Perspective
• Deformation of BF theories, Topological Open Membrane and A Generalization of The Star Deformation
• A Deformation of Three Dimensional BF Theory
• Graded Poisson-Sigma Models and Dilaton-Deformed 2D Supergravity Algebra
• General Two-Dimensional Supergravity from Poisson Superalgebras
• Target-Superspace in 2d Dilatonic Supergravity
• Free differential algebras and generic 2D dilatonic (super)gravities
• Topological Field Theories and Geometry of Batalin-Vilkovisky Algebras
• Another Perturbative Expansion in Nonabelian Gauge Theory

Cited by in corpus (6)

• AKSZ-BV Formalism and Courant Algebroid-induced Topological Field Theories
• Waiting for the Discovery of B^0_d -> K^0 \bar K^0
• Consistent interactions of dual linearized gravity in D=5: couplings with a topological BF model
• Four-dimensional couplings among BF and massless Rarita-Schwinger theories: a BRST cohomological approach
• On the generalized Freedman-Townsend model
• An Alternative Topological Field Theory of Generalized Complex Geometry