Euclidean SYM Theories by Time Reduction and Special Holonomy Manifolds
arXiv:hep-th/9706225 · doi:10.1016/S0370-2693(97)01163-5
Abstract
Euclidean supersymmetric theories are obtained from Minkowskian theories by performing a reduction in the time direction. This procedure elucidates certain mysterious features of Zumino's N=2 model in four dimensions, provides manifestly hermitian Euclidean counterparts of all non-mimimal SYM theories, and is also applicable to supergravity theories. We reanalyse the twists of the 4d N=2 and N=4 models from this point of view. Other applications include SYM theories on special holonomy manifolds. In particular, we construct a twisted SYM theory on Kaehler 3-folds and clarify the structure of SYM theory on hyper-Kaehler 4-folds.
21 pages, LaTeX file
References in corpus (3)
Cited by in corpus (57)
- Black Hole Attractors and the Topological String
- Vortex Counting and Lagrangian 3-manifolds
- Quantum Foam and Topological Strings
- A Lattice Formulation of Super Yang-Mills Theories with Exact Supersymmetry
- Fivebranes and 3-manifold homology
- Some Aspects of the de Sitter/CFT Correspondence
- Special Geometry of Euclidean Supersymmetry I: Vector Multiplets
- Duality and Moduli Spaces for Time-Like Reductions
- Killing Spinors and SYM on Curved Spaces
- Special geometry of Euclidean supersymmetry II: hypermultiplets and the c-map
- Euclidean D-branes and higher-dimensional gauge theory
- Cohomological gauge theory, quiver matrix models and Donaldson-Thomas theory
- Lectures on instantons
- Yang-Mills- and D-instantons
- Topological branes, p-algebras and generalized Nahm equations
- Topological M-theory as Unification of Form Theories of Gravity
- Instantons, Euclidean supersymmetry and Wick rotations
- 3d-3d Correspondence Revisited
- Properties of Chiral Wilson Loops
- D-branes in Kazama-Suzuki Models
- Instantons on Special Holonomy Manifolds
- Instantons, Quivers and Noncommutative Donaldson-Thomas Theory
- Topological Vector Symmetry of BRSTQFT and Construction of Maximal Supersymmetry
- Mass Perturbations in Twisted N=4 Supersymmetric Gauge Theories
- Equivariant Verlinde formula from fivebranes and vortices
- Topological Symmetry of forms, N=1 Supersymmetry and S-duality on Special Manifolds
- Supersymmetric Yang-Mills, octonionic instantons and triholomorphic curves
- Conformal topological Yang-Mills theory and de Sitter holography
- N_T=4 equivariant extension of the 3D topological model of Blau and Thompson
- ADHM in 8d, coloured solid partitions and Donaldson-Thomas invariants on orbifolds
- D1D5 System and Noncommutative Geometry
- One-loop tests of supersymmetric gauge theories on spheres
- Gauge theory and the division algebras
- Cohomological Yang-Mills Theories on Kahler 3-Folds
- Sigma Models with N=8 Supersymmetries in 2+1 and 1+1 Dimensions
- Sigma-model limit of Yang-Mills instantons in higher dimensions
- Octonions, G_2 Symmetry, Generalized Self-Duality and Supersymmetries in Dimensions D \le 8
- Duality in Topological Quantum Field Theories
- A Wick Rotation for Spinor Fields: the Canonical Approach
- Instantons on sine-cones over Sasakian manifolds
- Higher dimensional analogue of the Blau-Thompson model and N_T=8, D=2 Hodge-type cohomological gauge theories
- Ward Identities for N=2 Rigid and Local Supersymmetry in Euclidean Space
- Noncommutative Instantons in Diverse Dimensions
- The geometry of the M5-branes and TQFTs
- Generalized instantons in N = 4 super Yang-Mills theory and spinorial geometry
- Euclidean Actions, Instantons, Solitons and Supersymmetry
- Topological twisting of conformal supercharges
- One Loop Effects in Various Dimensions and D-Branes
- Mass deformation of twisted super Yang-Mills theory with fuzzy sphere solution
- Instantons on the six-sphere and twistors
- Basic and Equivariant Cohomology in Balanced Topological Field Theory
- Instantons on conical half-flat 6-manifolds
- Cohomological extension of Spin(7)-invariant super Yang-Mills theory in eight dimensions
- G_2 invariant 7D Euclidean super Yang-Mills theory as a higher-dimensional analogue of the 3D super-BF theory
- Four-dimensional topological Einstein-Maxwell gravity
- Instantons and Donaldson-Thomas Invariants
- Towards The Moduli Space of Extended Partial Isometries