Semantic Scholar Open Access 2007 23 sitasi

On Relationships among Chern-Simons Theory, BF Theory and Matrix Model

T. Ishii Goro Ishiki Kazutoshi Ohta Shinji Shimasaki A. Tsuchiya

Lihat Sumber DOI

Abstrak

Chern-Simons theory on a U(1) bundle over a Riemann surface \Sigma_g of genus g is dimensionally reduced to BF theory with a mass term, which is equivalent to the two-dimensional Yang-Mills on \Sigma_g. We show that the former is inversely obtained from the latter by the extended matrix T-duality developed in hep-th/0703021. For the case of g=0 (i.e. S^2), the U(1) bundle represents the lens space S^3/Z_p. We find that in this case both the Chern-Simons theory and the BF theory with the mass term are realized in a matrix model. We also construct Wilson loops in the matrix model that correspond to those in the Chern-Simons theory on S^3.

Topik & Kata Kunci

Physics

Penulis (5)

T. Ishii

Goro Ishiki

Kazutoshi Ohta

Shinji Shimasaki

A. Tsuchiya

Format Sitasi

APA MLA BibTeX

Ishii, T., Ishiki, G., Ohta, K., Shimasaki, S., Tsuchiya, A. (2007). On Relationships among Chern-Simons Theory, BF Theory and Matrix Model. https://doi.org/10.1143/PTP.119.863

Akses Cepat

Lihat di Sumber doi.org/10.1143/PTP.119.863

Informasi Jurnal

Tahun Terbit: 2007
Bahasa: en
Total Sitasi: 23×
Sumber Database: Semantic Scholar
DOI: 10.1143/PTP.119.863
Akses: Open Access ✓