Skip to main content

Covariant non-commutative space-time

Author(s): Heckman, Jonathan J.; Verlinde, Herman L.

To refer to this page use:
Abstract: We introduce a covariant non-commutative deformation of 3 + 1-dimensional conformal field theory. The deformation introduces a short-distance scale l(p), and thus breaks scale invariance, but preserves all space time isometries. The non-commutative algebra is defined on space times with non-zero constant curvature, i.e. dS(4) or AdS(4). The construction makes essential use of the representation of CFT tensor operators as polynomials in an auxiliary polarization tensor. The polarization tensor takes active part in the non-commutative algebra, which for dS(4) takes the form of so(5, 1), while for AdS(4) it assembles into so (4, 2). The structure of the non-commutative correlation functions hints that the deformed theory contains gravitational interactions and a Regge-like trajectory of higher spin excitations. (C) 2015 The Authors.
Publication Date: May-2015
Electronic Publication Date: 19-Feb-2015
Citation: Heckman, Jonathan J, Verlinde, Herman. (2015). Covariant non-commutative space-time. NUCLEAR PHYSICS B, 894 (58 - 74). doi:10.1016/j.nuclphysb.2015.02.018
DOI: doi:10.1016/j.nuclphysb.2015.02.018
ISSN: 0550-3213
EISSN: 1873-1562
Pages: 58 - 74
Type of Material: Journal Article
Journal/Proceeding Title: NUCLEAR PHYSICS B
Version: Final published version. This is an open access article.

Items in OAR@Princeton are protected by copyright, with all rights reserved, unless otherwise indicated.