Semantic Scholar
Open Access
2010
10 sitasi
Natural and Projectively Invariant Quantizations on Supermanifolds
Thomas Leuther
F. Radoux
Abstrak
The existence of a natural and projectively invariant quantization in the sense of P. Lecomte (Progr. Theoret. Phys. Suppl. (2001), no. 144, 125{132) was proved by M. Bor- demann (math.DG/0208171), using the framework of Thomas{Whitehead connections. We extend the problem to the context of supermanifolds and adapt M. Bordemann's method in order to solve it. The obtained quantization appears as the natural globalization of the pgl(n + 1jm)-equivariant quantization on R njm constructed by P. Mathonet and F. Radoux in (arXiv:1003.3320). Our quantization is also a prolongation to arbitrary degree symbols of the projectively invariant quantization constructed by J. George in (arXiv:0909.5419) for symbols of degree two.
Topik & Kata Kunci
Penulis (2)
T
Thomas Leuther
F
F. Radoux
Akses Cepat
Informasi Jurnal
- Tahun Terbit
- 2010
- Bahasa
- en
- Total Sitasi
- 10×
- Sumber Database
- Semantic Scholar
- DOI
- 10.3842/SIGMA.2011.034
- Akses
- Open Access ✓