G2-INVARIANT 7D EUCLIDEAN SUPER YANG–MILLS THEORY AS 7-DIMENSIONAL ANALOGUE OF 3D SUPER-BF THEORY

DOI10.1142/S0219887804000137zbMath1065.81091arXivhep-th/0310237OpenAlexW3100390251MaRDI QIDQ4678265

Dietmar Mülsch, Bodo Geyer

Publication date: 23 May 2005

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/0310237

zbMATH Keywords

reduced holonomyCohomological gauge theorycontinuous Wick rotation

Mathematics Subject Classification ID

Supersymmetric field theories in quantum mechanics (81T60) Yang-Mills and other gauge theories in quantum field theory (81T13) Applications of global differential geometry to the sciences (53C80)

Related Items

Towards an Ashtekar formalism in 12 dimensions ⋮ COHOMOLOGICAL GAUGE THEORIES IN D > 4 WITH SPECIAL HOLONOMY Spin(7) AND G₂ ⋮ Cohomological extension of \(\text{Spin}(7)\)-invariant super-Yang--Mills theory in eight dimensions ⋮ New results on \(\mathcal N=4\) super-Yang-Mills theory

Cites Work

• The partition function of degenerate quadratic functional and Ray-Singer invariants
• Euclidean \(D\)-branes and higher-dimensional gauge theory
• Chern-Simons and twisted supersymmetry in various dimensions.
• Generalized vector products, duality, and octonionic identities in D=8 geometry
• Quark structure and octonions
• Instantons, Euclidean supersymmetry and Wick rotations.

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