Semantic Scholar Open Access 2002 171 sitasi

Courant Algebroids

P. Bressler A. Chervov

Lihat Sumber DOI

Abstrak

. This paper is devoted to studying some properties of the Courant algebroids: we explain the so-called ”conducting bundle construction” and use it to attach the Courant algebroid to Dixmier-Douady gerbe (following ideas of P. Severa). We remark that WZNW-Poisson condition of Klimcik and Strobl (math.SG/0104189) is the same as Dirac structure in some particular Courant algebroid. We propose the construction of the Lie algebroid on the loop space starting from the Lie algebroid on the manifold and conjecture that this construction applied to the Dirac structure above should give the Lie algebroid of symmetries in the WZNW-Poisson σ -model, we show that it is indeed true in the particular case of Poisson σ -model.

Topik & Kata Kunci

Physics Mathematics

Penulis (2)

P. Bressler

A. Chervov

Format Sitasi

APA MLA BibTeX

Bressler, P., Chervov, A. (2002). Courant Algebroids. https://doi.org/10.1007/s10958-005-0251-7

Akses Cepat

Lihat di Sumber doi.org/10.1007/s10958-005-0251-7

Informasi Jurnal

Tahun Terbit: 2002
Bahasa: en
Total Sitasi: 171×
Sumber Database: Semantic Scholar
DOI: 10.1007/s10958-005-0251-7
Akses: Open Access ✓