2005/11/02 by Pietro Antonio Grassi, P. A. Grassi
Physics and Astronomy · #Antisymmetric relation #Black Holes and Theoretical Physics #Commutator #Cosmology and Gravitation Theories #Mathematical physics #Noncommutative and Quantum Gravity Theories #Noncommutative geometry #Physics #Quantum mechanics #Spacetime #String (physics) #Supergravity #Supermultiplet #Superspace #Superstring theory #Supersymmetry #Theoretical physics #hep-th
paper · pdf · doi:10.1140/epjcd/s2006-03-002-6
published as Eur.Phys.J.C46S2:13-20,2006 · Based on a lectures given at 43rd International School of Subnuclear Physics, Erice, Sicily, Italy, Aug. 2005
arxiv created 2005/11/02 · openalex publication_date 2006/08/01 · arxiv updated 2014/11/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.