N=2 Superparticles, RR Fields and Noncommutative Structures of (super)-Spacetime
arXiv:hep-th/0511015 · doi:10.1140/epjcd/s2006-03-002-6
Abstract
The recent developments in superstring theory prompted the study of non-commutative structures in superspace. Considering bosonic and fermionic strings in a constant antisymmetric tensor background yields a non-vanishing commutator between the bosonic coordinates of the spacetime. Likewise, the presence of constant Ramond-Ramond (RR) background leads to a non-vanishing anti-commutator for the Grassmann coordinates of the superspace. The non-vanishing commutation relation between bosonic coordinates can also be derived using a particle moving in a magnetic background, we use N=2 pure spinor superparticles and D0-branes to show how the non-commutative structures emerge in superspace. It is argued how a D0-brane in a background of RR fields reproduces the results obtained in string theory.
Based on a lectures given at 43rd International School of Subnuclear Physics, Erice, Sicily, Italy, Aug. 2005
References in corpus (42)
- String Theory and Noncommutative Geometry
- Super-Poincare Covariant Quantization of the Superstring
- Type IIB Green-Schwarz superstring in plane wave Ramond-Ramond background
- Noncommutative Open String and D-brane
- Exactly solvable model of superstring in Ramond-Ramond plane wave background
- Conformal Field Theory of AdS Background with Ramond-Ramond Flux
- Magnetic fields, branes and noncommutative geometry
- One loop in eleven dimensions
- Noncommutative Geometry From Strings and Branes
- Gauge-Invariant and Gauge-Fixed D-Brane Actions
- Non-commutative superspace from string theory
- Pure Spinor Formalism as an N=2 Topological String
- Constrained Quantization of Open String in Background B Field and Noncommutative D-brane
- Noncommutative Superspace, N=1/2 Supersymmetry, Field Theory and String Theory
- Two loops in eleven dimensions
- Ten-Dimensional Supergravity Constraints from the Pure Spinor Formalism for the Superstring
- ICTP Lectures on Covariant Quantization of the Superstring
- Non(anti)commutative Superspace
- Physical Instances of Noncommuting Coordinates
- Some Aspects of Deformations of Supersymmetric Field Theories
- Superstring Vertex Operators in an AdS_5 x S^5 Background
- Covariant Quantization of the Superparticle Using Pure Spinors
- Towards Covariant Quantization of the Supermembrane
- Superstrings in Graviphoton Background and N=1/2+3/2 Supersymmetry
- Covariant Quantization of Superstrings Without Pure Spinor Constraints
- Covariant One-Loop Amplitudes in D=11
- On the Berkovits Covariant Quantization of GS Superstring
- Origin of Pure Spinor Superstring
- Noncommutative Superspace, Supermatrix and Lowest Landau Level
- Vertex Operators for Closed Superstrings
- Conformal Field Theory for the Superstring in a Ramond-Ramond Plane Wave Background
- A New First Class Algebra, Homological Perturbation and Extension of Pure Spinor Formalism for Superstring
- String theory and the mapping of gravity into gauge theory
- The Covariant Quantum Superstring and Superparticle from their Classical Actions
- Ghost constraints and the covariant quantization of the superparticle in ten dimensions
- Partition Functions of Pure Spinors
- Lower-dimensional pure-spinor superstrings
- Pure-spinor superstrings in d=2,4,6
- Superstar in Noncommutative Superspace via Covariant Quantization of the Superparticle
- Covariant Quantization of the Brink-Schwarz Superparticle
- Super D-branes from BRST Symmetry
- Non-Critical Covariant Superstrings
Cited by in corpus (9)
- Non-anticommutativity in Presence of a Boundary
- Current Algebra of the Pure Spinor Superstring in AdS(5) x S(5)
- Chern-Simons Theory in SIM(1) Superspace
- Flux Vacua and Supermanifolds
- Pure Spinor Strings in TsT Deformed Background
- Note About Classical Dynamics of Pure Spinor String on AdS_5 x S_5 Background
- BRST Invariance of Non-local Charges and Monodromy Matrix of Bosonic String on AdS(5)xS(5)
- Quantum Mechanics in Non(Anti)Commutative Superspace
- Note About Redefinition of BRST Operator for Pure Spinor String in General Background