Off-shell SUSY Invariant Actions in Four Dimensions
نویسندگان
چکیده
We propose N = 4 twisted superspace formalism in four dimensions by introducing Dirac-Kähler 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-Kähler 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. [email protected] [email protected] [email protected]
منابع مشابه
A Ten-Dimensional Super-Yang-Mills Action with Off-Shell Supersymmetry
After adding seven auxiliary scalar fields, the action for ten-dimensional super-YangMills contains an equal number of bosonic and fermionic non-gauge fields. Besides being manifestly Lorentz and gauge-invariant, this action contains nine spacetime supersymmetries whose algebra closes off-shell. Octonions provide a convenient notation for displaying these symmetries. Ten-dimensional super-Yang-...
متن کاملTowards Higher-n Superextensions of Born-infeld Theory
The main source of current interest in superextensions of the Born-Infeld (or Dirac-Born-Infeld) action is the fact that these super BI actions constitute an essential part of the worldvolume actions of Dp-branes (see [1] and refs. therein). It is tempting to formulate super BI actions in a manifestly supersymmetric way using an off-shell superfield approach. In this approach the worldvolume SU...
متن کاملGauge Theories, Duality Relations and the Tensor Hierarchy
We compute the complete 3and 4-dimensional tensor hierarchies, i.e. sets of p-form fields, with 1 ≤ p ≤ D, which realize an off-shell algebra of bosonic gauge transformations. We show how these tensor hierarchies can be put on-shell by introducing a set of duality relations, thereby introducing additional scalars and a metric tensor. These so-called duality hierarchies encode the equations of m...
متن کاملNew Dual Conformally Invariant Off-Shell Integrals
Evidence has recently emerged for a hidden symmetry of scattering amplitudes in N = 4 super Yang-Mills theory called dual conformal symmetry. At weak coupling the presence of this symmetry has been observed through five loops, while at strong coupling the symmetry has been shown to have a natural interpretation in terms of a T-dualized AdS5. In this paper we study dual conformally invariant off...
متن کاملBPS Walls and Junctions in SUSY Nonlinear Sigma Models
BPS walls and junctions are studied in N = 1 SUSY nonlinear sigma models in four spacetime dimensions. New BPS junction solutions connecting N discrete vacua are found for nonlinear sigma models with several chiral scalar superfields. A nonlinear sigma model with a single chiral scalar superfield is also found which has a moduli space of the topology of S and admits BPS walls and junctions conn...
متن کامل