Twisted Superspace

@inproceedings{Baulieu2008TwistedS,
  title={Twisted Superspace},
  author={Laurent Baulieu and Guillaume Bossard and Alexis Martin},
  year={2008}
}

Holomorphic Superspace

We give a twisted holomorphic superspace description for the super-Yang–Mills theory, using holomorphic and antiholomorphic decompositions of twisted spinors. We consider the case of the N = 1

SU(5)-invariant decomposition of ten-dimensional Yang-Mills supersymmetry

Field representations of vector supersymmetry

We study some field representations of vector supersymmetry with superspin Y = 0 and Y = 1/2 and nonvanishing central charges. For Y = 0, we present two multiplets composed of four spinor fields, two

Vafa-Witten theory on N=2 and N=4 twisted superspace in four dimensions

We construct a new off-shell twisted real form of the hypermultiplet with a scalar and an anti-self-dual tensor superfields. Using the N = 2 twisted superspace formalism, we construct a

ONE-DIMENSIONAL σ-MODELS WITH N = 5, 6, 7, 8 OFF-SHELL SUPERSYMMETRIES

We computed the actions for the one-dimensional (1D)N = 5 σ-models with respect to the two inequivalent (2, 8, 6) multiplets. Four supersymmetry generators are manifest, while the constraint

N = 4 Yang–Mills theory as a complexification of the N = 2 theory

Vector Supersymmetry: Casimir operators and contraction from OSp(3,2|2)

We study some algebraic properties of the `vector supersymmetry' (VSUSY) algebra, a graded extension of the four-dimensional Poincar{e algebra with two odd generators, a vector and a scalar, and two

Mathematical structures of cohomological field theories

References

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Unconstrained off-shell N=3 supersymmetric Yang-Mills theory

Harmonic superspace is used to build up an unconstrained off-shell formulation of N=3 supersymmetry Yang-Mills theory. The theory is defined in an analytic N=3 superspace having

TOPOLOGICAL HYPERMULTIPLET ON N = 2 TWISTED SUPERSPACE IN FOUR DIMENSIONS

We propose an N = 2 twisted superspace formalism with a central charge in four dimensions by introducing a Dirac–Kahler twist. Using this formalism, we construct an off-shell twisted hypermultiplet

Topological matter in four dimensions

Algebraic Renormalization: perturbative twisted considerations on topological Yang-Mills theory and on N=2 supersymmetric gauge theories

Lectures given at the First School on Field Theory and Gravitation, Vit\'{o}ria, Esp\'{\i}rito Santo, Brazil, 15-19 April, 1997.

Bianchi identities for supersymmetric gauge theories

On harmonic superspace

A shortsurvey ofsom e aspectsofharm onic superspaceisgiven.In particular,the d = 3 ;N = 8 scalar superm ultiplet and the d = 6 ;N = (2 ; 0) tensor m ultiplet are described as analytic