Non-commutative superspace from string theory

Abstract

Turning on background fields in string theory sometimes has an alternative interpretation as a deformation of the target space geometry. A particularly well-known case is the NS-NS two form B, which gives rise to space-time non-commutativity. In this note we point out that this phenomenon extends to ten-dimensional superspace when employing a covariant quantization of the superstring, generalizing an observation by Ooguri and Vafa in four dimensions. In particular, we will find that RR field strengths give rise to a non-zero $\{\theta ,\theta \}$ anti-commutator, just as in four dimensions, whereas the gravitino yields a non-zero value for $[x,\theta ]$.

LaTex, 12 pages

References in corpus (8)

• Ten-Dimensional Supergravity Constraints from the Pure Spinor Formalism for the Superstring
• ICTP Lectures on Covariant Quantization of the Superstring
• Non(anti)commutative Superspace
• Covariant Quantization of Superstrings Without Pure Spinor Constraints
• The Covariant Quantum Superstring and Superparticle from their Classical Actions
• The Massless Spectrum of Covariant Superstrings
• On Noncommutativity in String Theory and D-Branes
• On the BRST Cohomology of Superstrings with/without Pure Spinors

Cited by in corpus (189)

• Noncommutative Geometry and Gravity
• Kappa-Minkowski space-time and the star product realizations
• New realizations of Lie algebra kappa-deformed Euclidean space
• Exact Solution of Quantum Field Theory on Noncommutative Phase Spaces
• New Lie-Algebraic and Quadratic Deformations of Minkowski Space from Twisted Poincare Symmetries
• Covariant realizations of kappa-deformed space
• Deformed Oscillator Algebras and QFT in $\kappa$-Minkowski Spacetime
• Comments on Noncommutative Superspace
• Supersymmetric Gauge Theories on Noncommutative Superspace
• N=1/2 Wess-Zumino model is renormalizable
• Two-loop Renormalization for Nonanticommutative N=1/2 Supersymmetric WZ Model
• Chern-Simons-Matter Theory
• Renormalizability of N=1/2 Wess-Zumino model in superspace
• Nilpotent deformations of N=2 superspace
• Non-anticommutative N=2 super-Yang-Mills theory with singlet deformation
• Towards the Quantum Geometry of the M5-brane in a Constant C-Field from Multiple Membranes
• Wilsonian Proof for Renormalizability of N=1/2 Supersymmetric Field Theories
• Noncommutative Superspace, Supermatrix and Lowest Landau Level
• Non-anticommutative chiral singlet deformation of N=(1,1) gauge theory
• Vertex Operators for Closed Superstrings
• Supersymmetric Quantum Hall Effect on Fuzzy Supersphere
• M-Theory on Deformed Superspace
• Generalized kappa-deformed spaces, star-products, and their realizations
• N=1/2 gauge theory and its instanton moduli space from open strings in R-R background
• Fuzzy Supersphere and Supermonopole
• Drinfeld-Twisted Supersymmetry and Non-Anticommutative Superspace
• One-Loop Perturbative Corrections to non(anti)commutativity Parameter of N=1/2 Supersymmetric U(N) Gauge Theory
• Marginal Deformations of N=4 SYM from Open/Closed Twistor Strings
• Hopf Maps, Lowest Landau Level, and Fuzzy Spheres
• N=2 Supersymmetric U(1) Gauge Theory in Noncommutative Harmonic Superspace
• Quantum Hall Liquid on a Noncommutative Superplane
• U(N) Instantons on N=1/2 superspace -- exact solution & geometry of moduli space
• Noncommutative Differential Forms on the kappa-deformed Space
• Comments on Gluino Condensates in N=1/2 SYM Theory
• N=1/2 quiver gauge theories from open strings with R-R fluxes
• Differential structure on kappa-Minkowski space, and kappa-Poincare algebra
• Newton equation for canonical, Lie-algebraic and quadratic deformation of classical space
• Twists, realizations and Hopf algebroid structure of kappa-deformed phase space
• Non-anticommutativity in Presence of a Boundary
• K-Poincare-Hopf algebra and Hopf algebroid structure of phase space from twist
• Deformation of the ABJM Theory
• On nonanticommutative N=2 sigma-models in two dimensions
• Gauge Theory on Noncommutative Supersphere from Supermatrix Model
• Cyclicity of non-associative products on D-branes
• Lorentz invariant and supersymmetric interpretation of noncommutative quantum field theory
• Non-anticommutative deformation of N=(1,1) hypermultiplets
• Singlet Deformation and Non(anti)commutative N=2 Supersymmetric U(1) Gauge Theory
• N=2 Instanton Effective Action in Omega-background and D3/D(-1)-brane System in R-R Background
• D=2, N=2, Supersymmetric theories on Non(anti)commutative Superspace
• $\kappa$-Deformed Phase Space, Hopf Algebroid and Twisting
• Non(anti)commutative SYM theory: Renormalization in superspace
• Constraint and Super Yang-Mills Equations on the Deformed Superspace R^(4|16)_\hbar
• Superfield theory and supermatrix model
• D=2, N=2 Supersymmetric sigma models on Non(anti)commutative Superspace
• Canonical and Lie-algebraic twist deformations of Galilei algebra
• Non(anti)commutative N=2 Supersymmetric Gauge Theory from Superstrings in the Graviphoton Background
• The BV Formalization of Chern-Simons Theory on Deformed Superspace
• Supersymmetric CP^N Sigma Model on Noncommutative Superspace
• Lie-deformed quantum Minkowski spaces from twists: Hopf-algebraic versus Hopf-algebroid approach
• Non-singlet Q-deformation of the N=(1,1) gauge multiplet in harmonic superspace
• Abelian and Non-abelian D-brane Effective Actions
• Non-local Wess-Zumino Model on Nilpotent Noncommutative Superspace
• Non-Anti-Commutative deformation of effective potentials in supersymmetric gauge theories
• BPS-type equations in the non-anticommutative N=2 supersymmetric U(1) gauge theory
• Instanton Calculations for N=1/ 2 super Yang-Mills Theory
• Chiral effective potential in $\mathcal{N}=1/2$ non-commutative Wess-Zumino model
• Deformed Supersymmetry in Non(anti)commutative N=2 Supersymmetric U(1) Gauge Theory
• Jordanian Quantum Deformations of D=4 Anti-de-Sitter and Poincare Superalgebras
• Gauged Wess-Zumino Model in Noncommutative Minkowski Superspace
• Non-Commutative Geometry from Strings
• Field Theory in Noncommutative Minkowski Superspace
• Superstar in Noncommutative Superspace via Covariant Quantization of the Superparticle
• Non-commutative (D)-instantons
• Nonanticommutative superspace and N= 1/2 WZ model
• Boundary Effects in the BLG Theory
• Spectral Degeneracy in Supersymmetric Gluodynamics and One-Flavor QCD related to N=1/2 SUSY
• Aspects of ABJ Theory
• Field Theory on Nonanticommutative Superspace
• Chern-Simons Theory in SIM(1) Superspace
• Deformed N=1 supersymmetry
• Non-anticommutative ABJ Theory
• Non-anticommutative N=2 supersymmetric SU(2) gauge theory
• Non(anti)commutative N=(1,1/2) Supersymmetric U(1) Gauge Theory
• The C-Deformation of Gluino and Non-planar Diagrams
• Seiberg-Witten Map for Superfields on Canonically Deformed N=1, d=4 Superspace
• Fuzzy CP(n|m) as a quantum superspace
• Deformation of N=4 Super Yang-Mills Theory in Graviphoton Background
• On Generalized Uncertainty Principle
• Harmonic Superspaces from Superstrings
• Quantum Corrections in 2D SUSY CP^{N-1} Sigma Model on Noncommutative Superspace
• N=1/2 Super Yang-Mills Theory on Euclidean AdS2xS2
• $D5$-brane type I superstring background fields in terms of type IIB ones by canonical method and T-duality approach
• Ring Structure of SUSY * Product and 1/2 SUSY Wess-Zumino Model
• Deformation of Super Yang-Mills Theories in R-R 3-form Background
• Flux Vacua and Supermanifolds
• N=2 sigma model Action on Non(anti)commutative Superspace
• Seiberg-Witten Map for Superfields on N=(1/2,0) and N=(1/2,1/2) Deformed Superspace
• Canonical and Lie-algebraic twist deformations of $\kappa$-Poincare and contractions to $\kappa$-Galilei algebras
• Nonanticommutative Deformation of N=4 SYM Theory: The Myers Effect and Vacuum States
• Construction of the effective action in nonanticommutative supersymmetric field theories
• The Supersymmetric (2+1)D Noncommutative $C{P}^{(N-1)}$ Model in the Fundamental Representation
• Supersymmetric Chern-Simons Theory and Supersymmetric Quantum Hall Liquid
• Konishi Anomaly and Central Extension in N=1/2 Supersymmetry
• Chiral Models in Noncommutative N=1/2 Four Dimensional Superspace
• Note on a fermionic solution of the matrix model and noncommutative superspace
• The non-anticommutative supersymmetric Wess-Zumino model
• Cryptoreality of nonanticommutative Hamiltonians
• Note on Gauge Theory on Fuzzy Supersphere
• Non(anti)commutative superspace with coordinate-dependent deformation
• Supersymmetric large-N reduced model with multiple matter
• Partial $\mathcal{N}=2\to \mathcal{N}=1$ supersymmetry breaking and gravity deformed chiral rings
• Deformed conformal and super-Poincaré symmetries in the non-(anti)commutative spaces
• Double-graded quantum superplane
• Noncommutativity in weakly curved background by canonical methods
• Scalar Solitons in Non(anti)commutative Superspace
• Noncommutative Superspace and Super Heisenberg Group
• Extending general covariance: Moyal-type noncommutative manifolds
• Non(anti)commutative N=2 Supersymmetric U(N) Gauge Theory and Deformed Instanton Equations
• Inflation on Fractional Branes: D--Brane Inflation as D--Term Inflation
• Renormalizability of non-anticommutative N=(1,1) theories with singlet deformation
• Supersymmetric Lorentz invariant deformations of superspaces
• Renormalisation of supersymmetric gauge theory in the uneliminated component formalism
• Type I background fields in terms of type IIB ones
• BPS Analysis of Gauge Field-Higgs Models in Non-Anticommutative Superspace
• N=2 Superparticles, RR Fields and Noncommutative Structures of (super)-Spacetime
• Non-singlet Q-deformed N=(1,0) and N=(1,1/2) U(1) actions
• T-dualization of type II superstring theory in double space
• Non-commutativity parameters depend not only on the effective coordinate but on its T-dual as well
• Aspects of Twistor Geometry and Supersymmetric Field Theories within Superstring Theory
• D-brane in R-R Field Background
• Recovery of Full N=1 Supersymmetry in Non(anti-)commutative Superspace
• Fermionic T-duality and momenta noncommutativity
• A renormalizable N=1/2 SYM theory with interacting matter
• Instanton Calculus in R-R 3-form Background and Deformed N=2 Super Yang-Mills Theory
• Canonical, Lie-algebraic and quadratic twist deformations of Galilei group
• On beta-deformations and Noncommutativity
• Generalized twist deformations of Poincare and Galilei Hopf algebras
• Instantons and Matter in N=1/2 Supersymmetric Gauge Theory
• A Field Theoretical Model in Noncommutative Minkowski Superspace
• D-deformed Wess-Zumino model and its renormalizability properties
• Gauge theory in deformed N=(1,1) superspace
• On the Seiberg-Witten map of $\mathcal{N}=2$ SYM theory in Non(anti)commutative Harmonic Superspace
• Instanton Calculus in Deformed N=4 Super Yang-Mills Theories
• On Graviphoton F-terms of N=1 SU(N) SYM with Fundamental Matter
• One-loop effective potential in $\mathcal{N}=1/2$ generic chiral superfield model
• AdS/CFT Duality for Non-Anticommutative Supersymmetric Gauge Theory
• Twist Deformations of the Supersymmetric Quantum Mechanics
• (Non)renormalizability of the D-deformed Wess-Zumino model
• Fermionic T-duality in fermionic double space
• Supersymmetric Nambu$-$Jona-Lasinio Model on $\mathcal{N}=1/2$ four-dimensional Non(anti)commutative Superspace
• Quantum Mechanics in Non(Anti)Commutative Superspace
• Non-anticommutative Supersymmetric Field Theory and Quantum Shift
• One-loop divergences in the two-dimensional non-anticommutative supersymmetric sigma-model
• The non-anticommutative supersymmetric U(1) gauge theory
• Lorentz invariant supersymmetric mechanism for non(anti)commutative deformations of space-time geometry
• On A Superfield Extension of The ADHM Construction and N=1 Super Instantons
• Nonanticommutative U(1) SYM theories: Renormalization, fixed points and infrared stability
• Noncommutativity and nonassociativity of type II superstring with coordinate dependent RR field
• Dirichlet boundary conditions in type IIB superstring theory and fermionic T-duality
• Noncommutativity relations in type IIB theory and their supersymmetry
• N=1/2 Supersymmetric gauge theory in noncommutative space
• Black Hole Partition Function using Hybrid Formalism of Superstrings
• Instantons in N=1/2 Super Yang-Mills Theory via Deformed Super ADHM Construction
• SUSY Quantum Hall Effect on Non-Anti-Commutative Geometry
• All-Loop Renormalizable Wess-Zumino Model on Bosonic-Fermionic Noncommutative Superspace
• Non-planar Diagrams and Non-commutative Superspace in Dijkgraaf-Vafa theory
• Quantum enveloping algebras with von Neumann regular Cartan-like generators and the Pierce decomposition
• Advantage of the second-order formalism in double space T-dualization of type II superstring
• Morita Equivalence of Noncommutative Supertori
• Noncommutativity and nonassociativity of type II superstring with coordinate dependent RR field -- the general case
• A coordinate-dependent superspace deformation from string theory
• A renormalisable non-anticommutative SU(N)xU(1) gauge theory in components
• Renormalisation of the non-anticommutativity parameter at two loops
• Vector-multiplet effective action in the non-anticommutative charged hypermultiplet model
• Twisted SUSY: twisted symmetry versus renormalizability
• Super Chern-Simons Quantum Mechanics
• Central Charges in Non(anti)commutative N=2 Supersymmetric U(N) Gauge Theory
• Duality invariance of non-anticommutative N=1/2 supersymmetric U(1) gauge theory
• Particle Dynamics and Lie-algebraic type of Non-commutativity of space-time
• T-Minkowski noncommutative spacetimes I: Poincaré groups, differential calculi and braiding
• Covariant Quantization of BFNC Super Yang-Mills Theories and Supergauge Invariance
• Simultaneous T-dualization of type II pure spinor superstring
• Non-topological non-commutativity in string theory
• Non-Anticommutative Deformations of N=(1,1) Supersymmetric Theories
• One-Loop Renormalizable Wess-Zumino Model on Bosonic-Fermionic Noncommutative Superspace
• Wess-Zumino Model on Bosonic-Fermionic Noncommutative Superspace
• Double space T-dualization and coordinate dependent RR
• The role of field redefinition on renormalisability of a general $N=\frac{1}{2}$ supersymmetric gauge theories
• Effect of Noncommutativity of Space-time on Zitterbewegung