Topological hypermultiplet on N=2 twisted superspace in four dimensions

Abstract

We propose a N=2 twisted superspace formalism with a central charge in four dimensions by introducing a Dirac-Kähler twist. Using this formalism, we construct a twisted hypermultiplet action and find an explicit form of fermionic scalar, vector and tensor transformations. We construct a off-shell Donaldson-Witten theory coupled to the twisted hypermultiplet. We show that this action possesses N=4 twisted supersymmetry at on-shell level. It turns out that four-dimensional Dirac-Kähler twist is equivalent to the Marcus's twist.

arXiv comment20 pages, no figure

References in corpus (20)

• A Strong Coupling Test of S-Duality
• Stripes from (noncommutative) stars
• Twisted Superspace on a Lattice
• Topological Matter in Two Dimensions
• Exact Extended Supersymmetry on a Lattice: Twisted N=2 Super Yang-Mills 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
• 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
• N=4 Twisted Superspace from Dirac-Kahler Twist and Off-shell SUSY Invariant Actions in Four Dimensions
• Infrared and Ultraviolet Finiteness of Topological BF Theory in Two Dimensions
• Finiteness of 2D Topological BF-Theory with Matter Coupling
• Twisted N=4 SUSY Algebra in Topological Models of Schwarz Type
• Quantization of $gl(1,\mathbf{R})$ Generalized Chern-Simons Theory in 1+1 Dimensions
• Quantization of Even-Dimensional Actions of Chern-Simons Form with Infinite Reducibility
• Symmetries of topological field theories in the BV-framework
• Quantization of Infinitely Reducible Generalized Chern-Simons Actions in Two Dimensions
• Vector Supersymmetry of 2D Yang-Mills Theory

Cited by in corpus (9)

• Exact Extended Supersymmetry on a Lattice: Twisted N=4 Super Yang-Mills in Three Dimensions
• Matrix formulation of superspace on 1D lattice with two supercharges
• Formulation of Supersymmetry on a Lattice as a Representation of a Deformed Superalgebra
• On the Continuum and Lattice Formulations of N=4 D=3 Twisted Super Yang-Mills
• Twisted Superspace
• Vafa-Witten Theory on N=2 and N=4 Twisted Superspace in Four Dimensions
• Field Representations of Vector Supersymmetry
• Off-shell Invariant D=N=2 Twisted Super Yang-Mills Theory with a Gauged Central Charge without Constraints
• Off-shell invariant super Yang-Mills with gauged central charges for N=D=2 and N=D=4: "Do we need a constraint ?"