Noncommutative gerbes and deformation quantization

JOURNAL OF GEOMETRY AND PHYSICS

卷:60

Article

Aschieri, Paolo^1,2  Bakovic, Igor³  Jurco, Branislav⁴  Schupp, Peter⁵ 

[1] Fac Sci MFN, Dipartimento Sci & Tecnol Avanzate, Viale T Michel 11, I-15121 Alessandria, Italy

[2] Ist Nazl Fis Nucl, Sez Torino, Grp Coll Alessandria, Turin, Italy

[3] Univ Split, Fac Nat Sci & Math, Dept Math, Split 21000, Croatia

[4] Max Planck Inst Math, D-53111 Bonn, Germany

[5] Jacobs Univ Bremen, Ctr Math Modeling & Comp, D-28759 Bremen, Germany

关键词: Noncommutative geometry;    Deformation quantization;    Gerbes;    Twisted Poisson structures;   

DOI  :  10.1016/j.geomphys.2010.06.003

来源: Elsevier

【 摘 要 】

We define noncommutative gerbes using the language of star products. Quantized twisted Poisson structures are discussed as an explicit realization in the sense of deformation quantization. Our motivation is the noncommutative description of D-branes in the presence of topologically non-trivial background fields. (c) 2010 Published by Elsevier B.V.

【 授权许可】

Free