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N=2 superparticles, RR fields, and noncommutative structures of (super)-spacetime

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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 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.

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  1. Centro Studi e Ricerche E. Fermi, Compendio Viminale, 00184, Roma, Italy

    P.A. Grassi

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Grassi, P. N=2 superparticles, RR fields, and noncommutative structures of (super)-spacetime. Eur. Phys. J. C 46 (Suppl 2), 13–20 (2006). https://doi.org/10.1140/epjcd/s2006-03-002-6

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