N=2 Superparticles, RR Fields and Noncommutative Structures of (super)-Spacetime

TL;DR

This paper explores how N=2 superparticles and D0-branes in RR backgrounds reveal noncommutative structures in superspace, connecting superstring theory results with particle models.

Contribution

It demonstrates the emergence of noncommutative superspace structures using N=2 superparticles and D0-branes in RR backgrounds, linking string theory and particle models.

Findings

Non-commutative relations arise in superspace with RR backgrounds.

D0-branes reproduce string theory non-commutative results.

Particle models can describe non-commutative superspace structures.

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.