SOGANG-HEP 266/99 hep-th/9911085 Noncommutative open strings from Dirac quantization
نویسندگان
چکیده
We study Dirac commutators of canonical variables on D-branes with a constant Neveu-Schwarz 2-form field by using the Dirac constraint quantization method, and point out some problems appearing in some previous works in analyzing constraint structure of the brane system. Overcoming some ad hoc procedures, we obtain desirable noncommutative coordinates exactly compatible with the result of the conformal field theory in recent literatures. Furthermore, we find interesting commutator relations of other canonical variables. ∗electronic address:[email protected] †electronic address:[email protected]
منابع مشابه
/ 99 07 05 5 v 1 8 J ul 1 99 9 IPM / P - 99 / 037 hep - th / 9907055 Boundary Conditions as Dirac Constraints
In this article we show that boundary conditions can be treated as Lagrangian and Hamiltonian primary constraints. Using the Dirac method, we find that boundary conditions are equivalent to an infinite chain of second class constraints which is a new feature in the context of constrained systems. We discuss the Dirac brackets and the reduced phase space structure for different boundary conditio...
متن کاملX iv : h ep - t h / 99 07 05 5 v 2 1 0 Ju l 1 99 9 IPM / P - 99 / 037 hep - th / 9907055 Boundary Conditions as Dirac Constraints
In this article we show that boundary conditions can be treated as Lagrangian and Hamiltonian primary constraints. Using the Dirac method, we find that boundary conditions are equivalent to an infinite chain of second class constraints which is a new feature in the context of constrained systems. We discuss the Dirac brackets and the reduced phase space structure for different boundary conditio...
متن کاملVolume Preserving Diffeomorphism and Noncommutative Branes
We give a representation of the volume preserving diffeomorphism of R in terms of the noncommutative (p − 2)-branes whose kinetic term is described by the Hopf term. In the static gauge, the (p − 2)brane can be described by the free fields and it suggests that the quantization of the algebra is possible. hep-th/0010040 ∗e-mail address : [email protected] †e-mail address : shibu...
متن کاملNoncommutative Geometry and String Duality
A review of the applications of noncommutative geometry to a systematic formulation of duality symmetries in string theory is presented. The spectral triples associated with a lattice vertex operator algebra and the corresponding Dirac-Ramond operators are constructed and shown to naturally incorporate target space and discrete worldsheet dualities as isometries of the noncommutative space. The...
متن کاملOpen String on Symmetric Product — Toward second quantization of open string with D - branes —
We develop some basic properties of the open string on the symmetric product which is supposed to describe the open string field theory in discrete lightcone quantization (DLCQ). After preparing the consistency conditions of the twisted boundary conditions for Annulus/Möbius/Klein Bottle amplitudes in generic nonabelian orbifold, we classify the most general solutions of the constraints when th...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 1999