N=2 superparticles, RR fields, and noncommutative structures of (super)-spacetime
Centro Studi e Ricerche E. Fermi, Compendio Viminale, 00184, Roma, Italy
2 Theory Unit, Physics Department, CERN, 1211, Geneva 23, Switzerland
3 DISTA, Università del Piemonte Orientale, via Bellini 25/g, 15100, Alessandria, Italy
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Published online: 8 August 2006
The recent developments in superstring theory prompted the study of non-commutative structures in superspace. Considering bosonic and fermionic strings in a constant antisymmetric 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 superparticle to show how the non-commutative structures emerge in superspace. The derivation is original and it is shown that only a D0-brane in supergravity background reproduces the results obtained in string theory.
© Springer-Verlag, 2006