Higher-dimensional analogues of Donaldson-Witten theory

DOI10.1016/S0550-3213(97)00515-4zbMath0938.81035arXivhep-th/9705138OpenAlexW2007287396WikidataQ124958967 ScholiaQ124958967MaRDI QIDQ1367561

Bernhard Rupp

Publication date: 24 September 1997

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9705138

zbMATH Keywords

manifoldstopological field theoryCalabi Yau threefoldsBRST exact stress tensorhigher dimensional Floer cohomologyholonomy preservationhyper Kähler 4 manifoldsinstanton equationsmetric variationssupersymmetric Yang Mills theory

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Moduli problems for topological structures (58D29) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Applications of global analysis to structures on manifolds (57R57)

Related Items (35)

ONE-LOOP EFFECTS IN VARIOUS DIMENSIONS AND D-BRANES ⋮ Tetrahedron instantons ⋮ COHOMOLOGICAL GAUGE THEORIES IN D > 4 WITH SPECIAL HOLONOMY Spin(7) AND G₂ ⋮ A taxonomy of twists of supersymmetric Yang-Mills theory ⋮ Cohomological extension of \(\text{Spin}(7)\)-invariant super-Yang--Mills theory in eight dimensions ⋮ Euclidean \(D\)-branes and higher-dimensional gauge theory ⋮ Curve counting, instantons and McKay correspondences ⋮ Self-dual \(N=(1,0)\) supergravity in eight dimensions with reduced holonomy Spin(7) ⋮ Evidence for an algebra of \(G_2\) instantons ⋮ Supergravity and the knitting of the Kalb-Ramond two-form in eight-dimensional topological gravity ⋮ On \(F\)-term contribution to effective action ⋮ Batalin-Vilkovisky quantization and supersymmetric twists ⋮ ADHM in \(8d\), coloured solid partitions and Donaldson-Thomas invariants on orbifolds ⋮ Quantum foam and topological strings ⋮ Gauge theory and the division algebras ⋮ General solution of \(7\)D octonionic top equation. ⋮ Instantons on the exceptional holonomy manifolds of Bryant and Salamon ⋮ Instantons, quivers and noncommutative Donaldson-Thomas theory ⋮ EUCLIDEAN SUPER YANG–MILLS THEORY ON A HYPER-KÄHLER EIGHT-FOLD ⋮ Weyl doubling ⋮ Gauge theory and \(\mathrm{G}_2\)-geometry on Calabi-Yau links ⋮ A construction of \(\mathrm{Spin}(7)\)-instantons ⋮ Going down from a 3-form in 16 dimensions ⋮ Cohomological Yang-Mills theories on Kähler 3-folds ⋮ Cohomological gauge theory, quiver matrix models and Donaldson-Thomas theory ⋮ Some aspects of the de Sitter/CFT correspondence ⋮ Deformations of nearly Kähler instantons ⋮ Moyal–Nahm equations ⋮ Higher-dimensional analogue of the Blau-Thompson model and \(N_T=8\), \(D=2\) Hodge-type cohomological gauge theories ⋮ Supersymmetric Yang-Mills, octonionic instantons and triholomorphic curves ⋮ Chern-Simons and twisted supersymmetry in various dimensions. ⋮ On mirror symmetry for manifolds of exceptional holonomy ⋮ Octonionic Yang-Mills instanton on quaternionic line bundle of \(Spin(7)\) holonomy ⋮ Topological twists of supersymmetric algebras of observables ⋮ Octonions, monopoles, and knots

Cites Work

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