Noncommutative D-brane and open string in pp-wave background with B-field

Chu, C.S.; Ho, P.M.

Abstract

The open string ending on a D-brane with a constant B-field in a pp-wave Ramond–Ramond background is exactly solvable. The theory is controlled by three dimensionful parameters: α′, the mass parameter (RR background times the lightcone momentum) and the B-field. We quantize the open string theory and determine the full noncommutative structure. In particular, we find a fully noncommutative phase space whose noncommutativity depends on all these parameters. The lightcone Hamiltonian is obtained, and as a consequence of the nontrivial commutation relations of the theory, new features of the spectrum are noted. Various scaling limits of the string results are considered. Physical implications are discussed.

Citation

Chu, C., & Ho, P. (2002). Noncommutative D-brane and open string in pp-wave background with B-field. Nuclear Physics B, 636(1-2), 141-158. https://doi.org/10.1016/s0550-3213%2802%2900360-7

• Journal Article Type: Article
• Publication Date: Aug 5, 2002
• Deposit Date: Apr 26, 2007
• Publicly Available Date: Apr 27, 2009
• Journal: Nuclear Physics B
• Print ISSN: 0550-3213
• Electronic ISSN: 1873-1562
• Publisher: Elsevier
• Peer Reviewed: Peer Reviewed
• Volume: 636
• Issue: 1-2
• Pages: 141-158
• DOI: https://doi.org/10.1016/s0550-3213%2802%2900360-7
• Keywords: Non-commutative geometry, Open string, D-brane, pp-wave.
• Public URL: https://durham-repository.worktribe.com/output/1593524
• Publisher URL: http://arxiv.org/abs/hep-th/0203186