Euclidean D-branes and higher-dimensional gauge theory

Abstract

We consider euclidean D-branes wrapping around manifolds of exceptional holonomy in dimensions seven and eight. The resulting theory on the D-brane---that is, the dimensional reduction of 10-dimensional supersymmetric Yang-Mills theory---is a cohomological field theory which describes the topology of the moduli space of instantons. The 7-dimensional theory is an N_T = 2 (or balanced) cohomological theory given by an action potential of Chern-Simons type. As a by-product of this method, we construct a related cohomological field theory which describes the monopole moduli space on a 7-manifold of G_2 holonomy.

23 pages (some changes in section 4.5 -- equations 27 and 28 change slightly) (missing bibliography added!)

References in corpus (4)

• Aspects of N_{T}\geq 2 Topological Gauge Theories and D-Branes
• Euclidean SYM Theories by Time Reduction and Special Holonomy Manifolds
• Higher Dimensional Analogues of Donaldson-Witten Theory
• Self-Duality in D <= 8-dimensional Euclidean Gravity

Cited by in corpus (41)

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• On Mirror Symmetry for Manifolds of Exceptional Holonomy
• Yang-Mills- and D-instantons
• D-branes in Kazama-Suzuki Models
• Instantons on Special Holonomy Manifolds
• Open G2 Strings
• Calibrations, Monopoles and Fuzzy Funnels
• Supersymmetric Yang-Mills, octonionic instantons and triholomorphic curves
• Intersecting brane geometries
• Topological Symmetry of forms, N=1 Supersymmetry and S-duality on Special Manifolds
• Conformal topological Yang-Mills theory and de Sitter holography
• Superpotentials for superconformal Chern-Simons theories from representation theory
• D1D5 System and Noncommutative Geometry
• Gauge theory and the division algebras
• Cohomological Yang-Mills Theories on Kahler 3-Folds
• Sigma-model limit of Yang-Mills instantons in higher dimensions
• Octonions, G_2 Symmetry, Generalized Self-Duality and Supersymmetries in Dimensions D \le 8
• Octonions, Monopoles, and Knots
• Instantons on sine-cones over Sasakian manifolds
• Complex anti-self-dual instantons and Cayley submanifolds
• Generalized instantons in N = 4 super Yang-Mills theory and spinorial geometry
• One Loop Effects in Various Dimensions and D-Branes
• Remarks on Covariant Matrix Strings
• Basic and Equivariant Cohomology in Balanced Topological Field Theory
• Self-dual Yang-Mills fields in pseudoeuclidean spaces
• Supersymmetric gauge theory on curved 7-branes
• Instantons on the six-sphere and twistors
• Four-dimensional topological Einstein-Maxwell gravity
• G_2 invariant 7D Euclidean super Yang-Mills theory as a higher-dimensional analogue of the 3D super-BF theory
• Cohomological extension of Spin(7)-invariant super Yang-Mills theory in eight dimensions
• Instantons on conical half-flat 6-manifolds
• Kappa symmetry, generalized calibrations and spinorial geometry
• On the Moyal deformation of Nahm Equations in seven dimensions
• The Ring Division Self Duality
• The Compatibility between the Higher Dimensions Self Duality and the Yang-Mills Equation of Motion
• Metric 3-Leibniz algebras and M2-branes
• Super-Matrix KdV and Super-Generalized NS Equations from Self-Dual Yang-Mills Systems with Supergauge Groups