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