Premium
Central charge contribution to noncommutativity
Author(s) -
Nikolić B.,
Sazdović B.
Publication year - 2008
Publication title -
fortschritte der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.469
H-Index - 71
eISSN - 1521-3978
pISSN - 0015-8208
DOI - 10.1002/prop.200710524
Subject(s) - boundary conformal field theory , central charge , noncommutative geometry , physics , conformal field theory , mathematical physics , dilaton , conformal symmetry , conformal map , boundary value problem , quantum mechanics , mathematics , neumann boundary condition , mathematical analysis , robin boundary condition
In the presence of antisymmetric Kalb‐Ramond field B μν Dp‐brane, to which string endpoints are attached, is a noncommutative manifold. Adding linear dilaton field, Φ(x) = Φ 0 + a μ x μ , the coordinate in the direction of dilaton gradient, x c = a μ x μ , becomes commutative, while the world‐sheet conformal factor F is a new noncommutative variable. In this article we demonstrate different approach to realization of quantum conformal invariance. We introduce Liouville action in such a way that world‐sheet conformal factor F does not spoil quantum conformal invariance and theory depends on arbitrary parameter, central charge c. Particular relations between background fields produce local gauge symmetries, which transform some of the Neumann into the Dirichlet boundary conditions decreasing the dimensionality of Dp‐brane. We introduce one methodological improvement regarding derivation of boundary conditions. Canonical Hamiltonian as a time translation generator must have well defined derivatives in coordinates and momenta. From this requirement we obtain boundary conditions directly in terms of canonical variables.