N=4 Twisted Superspace from Dirac-Kahler Twist and Off-shell SUSY Invariant Actions in Four Dimensions

Abstract

We propose N=4 twisted superspace formalism in four dimensions by introducing Dirac-Kahler twist. In addition to the BRST charge as a scalar counter part of twisted supercharge we find vector and tensor twisted supercharges. By introducing twisted chiral superfield we explicitly construct off-shell twisted N=4 SUSY invariant action. We can propose variety of supergauge invariant actions by introducing twisted vector superfield. We may, however, need to find further constraints to identify twisted N=4 super Yang-Mills action. We propose a superconnection formalism of twisted superspace where constraints play a crucial role. It turns out that N=4 superalgebra of Dirac-Kahler twist can be decomposed into N=2 sectors. We can then construct twisted N=2 super Yang-Mills actions by the superconnection formalism of twisted superspace in two and four dimensions.

62pages

References in corpus (30)

• Large N Field Theories, String Theory and Gravity
• A Strong Coupling Test of S-Duality
• Lectures on 2D Yang-Mills Theory, Equivariant Cohomology and Topological Field Theories
• An introduction to non-commutative differential geometry on quantum groups
• Twisted Superspace on a Lattice
• Balanced Topological Field Theories
• Topological Matter in Two Dimensions
• The other topological twisting of N=4 Yang-Mills
• Renormalization and finiteness of topological BF theories
• Mathai-Quillen Formulation of Twisted N=4 Supersymmetric Gauge Theories in Four Dimensions
• Topological Matter in Four Dimensions
• Perturbation Theory for Antisymmetric Tensor Fields in Four Dimensions
• N=2 Supersymmetric Model with Dirac-Kahler Fermions from Generalized Gauge Theory in Two Dimensions
• Twisted Superspace for N=D=2 Super BF and Yang-Mills with Dirac-Kähler Fermion Mechanism
• Dirac-Kaehler Fermion from Clifford Product with Noncommutative Differential Form on a Lattice
• Vector supersymmetry in topological field theories
• Infrared and Ultraviolet Finiteness of Topological BF Theory in Two Dimensions
• N_T=4 equivariant extension of the 3D topological model of Blau and Thompson
• Algebraic Characterization of Vector Supersymmetry in Topological Field Theories
• Finiteness of 2D Topological BF-Theory with Matter Coupling
• Twisted N=4 SUSY Algebra in Topological Models of Schwarz Type
• Twisting to Abelian BF/Chern-Simons Theories
• The action of N=4 Super Yang-Mills from a chiral primary operator
• Quantization of $gl(1,\mathbf{R})$ Generalized Chern-Simons Theory in 1+1 Dimensions
• Symmetries of topological field theories in the BV-framework
• Quantization of Even-Dimensional Actions of Chern-Simons Form with Infinite Reducibility
• Quantization of Infinitely Reducible Generalized Chern-Simons Actions in Two Dimensions
• Noncommutative Geometry of Lattice and Staggered Fermions
• Symmetries and Observables for BF-theories in Superspace
• Vector Supersymmetry of 2D Yang-Mills Theory

Cited by in corpus (28)

• Exact Extended Supersymmetry on a Lattice: Twisted N=4 Super Yang-Mills in Three Dimensions
• Exact Extended Supersymmetry on a Lattice: Twisted N=2 Super Yang-Mills in Two Dimensions
• Geometry of Orbifolded Supersymmetric Lattice Gauge Theories
• Simulations of $\mathcal{N}=2$ super Yang-Mills theory in two dimensions
• Lattice formulation of (2,2) supersymmetric gauge theories with matter fields
• Twisted supersymmetric sigma model on the lattice
• SU(5)-invariant decomposition of ten-dimensional Yang-Mills supersymmetry
• Twisted SUSY Invariant Formulation of Chern-Simons Gauge Theory on a Lattice
• Species Doublers as Super Multiplets in Lattice Supersymmetry: Exact Supersymmetry with Interactions for D=1 N=2
• Matrix formulation of superspace on 1D lattice with two supercharges
• Exact Lattice Supersymmetry at the Quantum Level for $N=2$ Wess-Zumino Models in 1- and 2-Dimensions
• Formulation of Supersymmetry on a Lattice as a Representation of a Deformed Superalgebra
• Topological hypermultiplet on N=2 twisted superspace in four dimensions
• Species Doublers as Super Multiplets in Lattice Supersymmetry: Chiral Conditions of Wess-Zumino Model for D=N=2
• On the Continuum and Lattice Formulations of N=4 D=3 Twisted Super Yang-Mills
• Superconformal Quantum Mechanics from M2-branes
• An Alternative Lattice Field Theory Formulation Inspired by Lattice Supersymmetry
• Twisted Superspace
• Vector Supersymmetry: Casimir operators and contraction from OSp(3,2|2)
• Deformed matrix models, supersymmetric lattice twists and N=1/4 supersymmetry
• Vafa-Witten Theory on N=2 and N=4 Twisted Superspace in Four Dimensions
• Vector Supersymmetry from OSp(3,2|2): Casimir Operators
• Quaternion based generalization of Chern-Simons theories in arbitrary dimensions
• Field Representations of Vector Supersymmetry
• SuperParticle realization of twisted N=2 SUSY algebra
• Off-shell BRST-VSUSY superalgebra for D=4 BF theories in the superconnection formalism
• Off-shell Invariant D=N=2 Twisted Super Yang-Mills Theory with a Gauged Central Charge without Constraints
• Scalar Supersymmetry in Bi-Spinor Gauge Theory