COHOMOLOGICAL GAUGE THEORIES IN D > 4 WITH SPECIAL HOLONOMY Spin(7) AND G2

DOI10.1142/S0217751X05024821zbMath1094.81049OpenAlexW2091610609MaRDI QIDQ5311661

Bodo Geyer

Publication date: 23 August 2005

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

Full work available at URL: https://doi.org/10.1142/s0217751x05024821

zbMATH Keywords

dimensional reduction\(\text{Spin}(7)\) and \(G_2\) holonomycohomological extension

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Quantization in field theory; cohomological methods (81T70) Topological field theories in quantum mechanics (81T45) Applications of global differential geometry to the sciences (53C80) Spin and Spin({}^c) geometry (53C27) Issues of holonomy in differential geometry (53C29)

Cites Work

• Cohomological extension of \(\text{Spin}(7)\)-invariant super-Yang--Mills theory in eight dimensions
• Topological quantum field theory
• Special quantum field theories in eight and other dimensions
• Higher-dimensional analogues of Donaldson-Witten theory
• Euclidean \(D\)-branes and higher-dimensional gauge theory
• Chern-Simons and twisted supersymmetry in various dimensions.
• Bound states of strings and \(p\)-branes
• G₂-INVARIANT 7D EUCLIDEAN SUPER YANG–MILLS THEORY AS 7-DIMENSIONAL ANALOGUE OF 3D SUPER-BF THEORY

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