Chern-Simons and Twisted Supersymmetry in Higher Dimensions

Abstract

We describe special supersymmetric gauge theories in three, five, seven and nine dimensions, whose compactification on two-, four-, six- and eight-folds produces a supersymmetric quantum mechanics on moduli spaces of holomorphic bundles and/or solutions to the analogues of instanton equations in higher dimensions. The theories may occur on the worldvolumes of D-branes wrapping manifolds of special holonomy. We also discuss the theories with matter.

26pp. harvmac b mode, refs added, analysis of wavefunctional expanded

References in corpus (3)

• Matrix String Theory
• Higher Dimensional Analogues of Donaldson-Witten Theory
• Cohomological Yang-Mills Theory in Eight Dimensions

Cited by in corpus (51)

• D-particle bound states and generalized instantons
• Superpotentials and Membrane Instantons
• ABCD of instantons
• Twisted supersymmetric 5D Yang-Mills theory and contact geometry
• Bethe/Gauge correspondence on curved spaces
• Cohomological localization of Chern-Simons theory
• BPS/CFT correspondence IV: sigma models and defects in gauge theory
• Melting Crystal, Quantum Torus and Toda Hierarchy
• Relating Field Theories via Stochastic Quantization
• Extended higher cup-product Chern-Simons theories
• Mirror symmetry and line operators
• Dimensionally Reduced SYM_4 as Solvable Matrix Quantum Mechanics
• SCFT/VOA correspondence via $\Omega$-deformation
• An M-Theoretic Derivation of a 5d and 6d AGT Correspondence, and Relativistic and Elliptized Integrable Systems
• Factorization of 5D super Yang-Mills on $Y^{p,q}$ spaces
• Virtual refinements of the Vafa-Witten formula
• Freckled Instantons in Two and Four Dimensions
• Topological Holography: The Example of The D2-D4 Brane System
• 5d Higgs Branch Localization, Seiberg-Witten Equations and Contact Geometry
• BPS Saturated Solitons in N=2 Two-Dimensional Theories on RxS (Domain Walls in Theories with Compactified Dimensions)
• Instantons from Blow-up
• Open G2 Strings
• On twisted N=2 5D super Yang-Mills theory
• Topological twists of supersymmetric algebras of observables
• N=2 supersymmetric gauge theory on connected sums of $S^2\times S^2$
• Localization for Wilson Loops in Chern-Simons Theory
• Spin(7) holonomy manifold and Superconnection
• Cohomological Yang-Mills Theories on Kahler 3-Folds
• 2d Integrable systems, 4d Chern-Simons theory and Affine Higgs bundles
• Tetrahedron instantons
• Octonions, G_2 Symmetry, Generalized Self-Duality and Supersymmetries in Dimensions D \le 8
• Twisted N=4 SUSY Algebra in Topological Models of Schwarz Type
• Octonionic Yang-Mills Instanton on Quaternionic Line Bundle of Spin(7) Holonomy
• Critical behavior in topological ensembles
• K3 metrics from little string theory
• Extended $5d$ Seiberg-Witten Theory and Melting Crystal
• Remarks on Covariant Matrix Strings
• Supersymmetric gauge theory on curved 7-branes
• Four-dimensional topological Einstein-Maxwell gravity
• 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
• One-dimensional structures behind twisted and untwisted superYang-Mills theory
• Gravitational Topological Quantum Field Theory Versus N = 2 D = 8 Supergravity and its lift to N = 1 D = 11 Supergravity
• Algebras, traces, and boundary correlators in $\mathcal{N}=4$ SYM
• Abelian dualities and line defect indices for 3d gauge theories
• Sigma Models for Bundles on Calabi-Yau: A Proposal for Matrix String Compactifications
• On the BRST Cohomology of Superstrings with/without Pure Spinors
• Dimension of Conformal Blocks in Five Dimensional Kaehler-Chern-Simons Theory
• On a 5D UV completion of Argyres-Douglas theories
• More on 5d Wilson Loops in Higher-Rank Theories and Blowup Equations
• The DT-instanton equation on almost Hermitian 6-manifolds