RT Journal Article
T1 Quantization of the open string on plane-wave limits of dS(n) x S-n and non-commutativity outside branes
A1 Ruiz Ruiz, Fernando
A1 Horcajada, G
AB The open string on the plane-wave limit of dSn × Sn with constant B2 and dilaton background fields is canonically quantized. This entails solving the classical equations of motion for the string, computing the symplectic form, and defining from its inverse the canonical commutation relations. Canonical quantization is proved to be perfectly suited for this task, since the symplectic form is unambiguously defined and non-singular. The string position and the string momentum operators are shown to satisfy equal-time canonical commutation relations. Noticeably the string position operators define non-commutative spaces for all values of the string world-sheet parameter σ, thus extending non-commutativity outside the branes on which the string endpoints may be assumed to move. The Minkowski space–time limit is smooth and reproduces the results in the literature, in particular non-commutativity gets confined to the endpoints.
PB Elsevier Science Bv
SN 0550-3213
YR 2008
FD 2008-08-11
LK https://hdl.handle.net/20.500.14352/50991
UL https://hdl.handle.net/20.500.14352/50991
LA eng
NO © 2008 Elsevier B.V. All rights reserved.The authors are grateful to MEC and CAM, Spain for partial support through grants  Nos. FIS2005-02309 and UCM-910770. The work of G.H. was supported by an MEC-FPU fellowship.
NO MEC
NO CAM
NO UCM
NO MEC-FPU
DS Docta Complutense
RD 5 abr 2025