Extended Supersymmetry and Self-Duality in 2+2 Dimensions

Abstract

The $N=2$ supersymmetric {\it self-dual} Yang-Mills theory and the $N=4$ and $N=2$ {\it self-dual} supergravities in $2+2$ space-time dimensions are formulated for the first time. These formulations utilize solutions of the Bianchi identities subject to the super-Yang-Mills or supergravity constraints in the relevant $N$-extended superspace with the space-time signature $(2,2)$.

11 pages

Cited by in corpus (33)

• Self-Dual Supersymmetry and Supergravity in Atiyah-Ward Space-Time
• Twistor Actions for Self-Dual Supergravities
• Why Auxiliary Fields Matter: The Strange Case of the 4D, N = 1 Supersymmetric QCD Effective Action (II)
• Super Multi-Instantons in Conformal Chiral Superspace
• Self-Dual Supergravity and Twistor Theory
• Non-Anti-Commutative deformation of effective potentials in supersymmetric gauge theories
• Supersymmetric Soluble Systems Embedded in Supersymmetric Self--Dual Yang--Mills Theory
• BPS-type equations in the non-anticommutative N=2 supersymmetric U(1) gauge theory
• The Geometry of $N=2$ Strings with Torsion
• Einstein Supergravity and New Twistor String Theories
• Non-anticommutative N=2 supersymmetric SU(2) gauge theory
• Octonions, G_2 Symmetry, Generalized Self-Duality and Supersymmetries in Dimensions D \le 8
• N=1 super-Chern-Simons coupled to parity-preserving matter from Atiyah-Ward space-time
• Supersymmetric KP Systems Embedded in Supersymmetric Self-Dual Yang-Mills Theory
• Noncommutative Self-Dual Supersymmetric Yang-Mills Theory
• Self-Dual N=(1,0) Supergravity in Eight Dimensions with Reduced Holonomy Spin(7)
• Self-Dual Non-Abelian Vector Multiplet in Three Dimensions
• Exact Solutions for Self--Dual Yang--Mills and Self--Dual Tensor Multiplets on Gravitational Instanton Background
• Self-Dual Supergravity in Seven Dimensions with Reduced Holonomy G_2
• Global conformal anomaly in N=2 string
• Anti-self-dual Maxwell solutions on hyperkähler manifold and N=2 supersymmetric Ashtekar gravity
• Space-Time Supersymmetry of Extended Fermionic Strings in $2+2$ Dimensions
• N=1 Super-${\tau }_3$QED from Atiyah-Ward Space-Time
• Self-Dual Supersymmetric Yang-Mills Theory Generates Witten's Topological Field Theory
• Gauging N=2 Supersymmetric Non-Linear $\sigma$-Models in the Atiyah-Ward Space-Time
• Static Vacuum Solutions on Curved Spacetimes with Torsion
• Green-Schwarz, Nambu-Goto Actions, and Cayley's Hyperdeterminant
• Self-Dual Supersymmetric Yang-Mills Theory Generates Two-Dimensional Supersymmetric WZNW Models
• Self-dual non-Abelian N = 1 tensor multiplet in D = 2+ 2 dimensions
• Self-Dual Yang-Mills and Vector-Spinor Fields, Nilpotent Fermionic Symmetry, and Supersymmetric Integrable Systems
• The *Report
• Two-Dimensional Dilaton Gravity Black Hole Solution for $N=2$ Superstring Theory
• Parity Conservation in Supersymmetric Vector-Like Theories