Drinfeld-Twisted Supersymmetry and Non-Anticommutative Superspace

Abstract

We extend the analysis of hep-th/0408069 on a Lorentz invariant interpretation of noncommutative spacetime to field theories on non-anticommutative superspace with half the supersymmetries broken. By defining a Drinfeld-twisted Hopf superalgebra, it is shown that one can restore twisted supersymmetry and therefore obtain a twisted version of the chiral rings along with certain Ward-Takahashi identities. Moreover, we argue that the representation content of theories on the deformed superspace is identical to that of their undeformed cousins and comment on the consequences of our analysis concerning non-renormalization theorems.

1+17 pages; typos fixed, minor corrections

References in corpus (41)

• String Theory and Noncommutative Geometry
• Noncommutative Field Theory
• Noncommutative Perturbative Dynamics
• On a Lorentz-Invariant Interpretation of Noncommutative Space-Time and Its Implications on Noncommutative QFT
• A Gravity Theory on Noncommutative Spaces
• Naturalness Versus Supersymmetric Non-renormalization Theorems
• SO(32) Spinors of Type I and Other Solitons on Brane-Antibrane Pair
• New concept of relativistic invariance in NC space-time: twisted Poincaré symmetry and its implications
• Introduction to M(atrix) theory and noncommutative geometry
• Introduction to M(atrix) theory and noncommutative geometry, Part II
• Non-commutative superspace from string theory
• Noncommutative Superspace, N=1/2 Supersymmetry, Field Theory and String Theory
• Stable Non-BPS States in String Theory
• Non(anti)commutative Superspace
• Solitons in Noncommutative Gauge Theory
• Untwisting Noncommutative R^d and the Equivalence of Quantum Field Theories
• Some Aspects of Deformations of Supersymmetric Field Theories
• Dynamics of Strings in Noncommutative Gauge Theory
• Noncommutative Multi-Solitons in 2+1 Dimensions
• Comments on Noncommutative Superspace
• N=1/2 Wess-Zumino model is renormalizable
• Two-loop Renormalization for Nonanticommutative N=1/2 Supersymmetric WZ Model
• Deformed Superspace, N=1/2 Supersymmetry and (Non)Renormalization Theorems
• Renormalizability of N=1/2 Wess-Zumino model in superspace
• Nilpotent deformations of N=2 superspace
• Renormalizability of Non(anti)commutative Gauge Theories with N=1/2 Supersymmetry
• Non-anticommutative N=2 super-Yang-Mills theory with singlet deformation
• Construction of $\theta$-Poincaré Algebras and their Invariants on ${\mathcal{M}}_{\theta }$
• Wilsonian Proof for Renormalizability of N=1/2 Supersymmetric Field Theories
• Non(anti)commutative Superspace, UV/IR Mixing & Open Wilson Lines
• Soliton-Antisoliton Scattering Configurations in a Noncommutative Sigma Model in 2+1 Dimensions
• Space-time symmetry of noncommutative field theory
• One-Loop Perturbative Corrections to non(anti)commutativity Parameter of N=1/2 Supersymmetric U(N) Gauge Theory
• Non-Commutative Geometry and Twisted Conformal Symmetry
• Quantum field theory and Hopf algebra cohomology
• Noncommutative Extended Waves and Soliton-like Configurations in N=2 String Theory
• Twist-Deformed Supersymmetries in Non-Anticommutative Superspaces
• Noncommutative gauge theories and Lorentz symmetry
• Constraint and Super Yang-Mills Equations on the Deformed Superspace R^(4|16)_\hbar
• Sigma-Model Solitons in the Noncommutative Plane: Construction and Stability Analysis
• Supermanifolds - Application to Supersymmetry

Cited by in corpus (32)

• kappa-deformed Spacetime From Twist
• Twist-Deformed Supersymmetries in Non-Anticommutative Superspaces
• Noncommutative spacetime symmetries: Twist versus covariance
• Non(anti)commutative SYM theory: Renormalization in superspace
• Drinfeld Twist and General Relativity with Fuzzy Spaces
• Non-singlet Q-deformation of the N=(1,1) gauge multiplet in harmonic superspace
• The three-dimensional non-anticommutative superspace
• Field Theory on Nonanticommutative Superspace
• Drinfel'd Twisted Superconformal Algebra and Structure of Unbroken Symmetries
• Nonanticommutative Deformation of N=4 SYM Theory: The Myers Effect and Vacuum States
• N=1/2 Deformations of Chiral Superspaces from New Quantum Poincare and Euclidean Superalgebras
• Deformed conformal and super-Poincaré symmetries in the non-(anti)commutative spaces
• Deformed relativistic and nonrelativistic symmetries on canonical noncommutative spaces
• Extending general covariance: Moyal-type noncommutative manifolds
• A Noncommutative Version of the Minimal Supersymmetric Standard Model
• D-deformed Wess-Zumino model and its renormalizability properties
• (Non)renormalizability of the D-deformed Wess-Zumino model
• Physics of crypto-Hermitian and/or cryptosupersymmetric field theories
• Non-anticommutative Supersymmetric Field Theory and Quantum Shift
• Twisted Supersymmetry, Fermion-Boson Mixing and Removal of UV-IR Mixing
• Real and pseudoreal forms of D=4 complex Euclidean (super)algebras and super-Poincare / super-Euclidean r-matrices
• Twist Deformations of the Supersymmetric Quantum Mechanics
• Lorentz invariant supersymmetric mechanism for non(anti)commutative deformations of space-time geometry
• Spectrum of Hydrogen Atom in Space-Time Non-Commutativity
• Global Space-Time Symmetries of Quantized Euclidean and Minkowski Superspaces
• Twisted Supersymmetry in a Deformed Wess-Zumino Model in (2+1) Dimensions
• Twisted SUSY: twisted symmetry versus renormalizability
• Aspects of noncommutativity in field theory, strings and membranes
• A relation between deformed superspace and Lee-Wick higher-derivative theories
• Nonperturbative deformation of D-brane states by the world sheet noncommutativity
• N=1/2 Global SUSY: R-Matrix Approach
• Noncommutative $\mathcal{N}=2$ Chern-Simons-matter model