We investigate the conditions imposable on a scalar field at the boundary of
the so- called Lifshitz spacetime which has been proposed as the dual to
Lifshitz field theories. For effective mass squared between -(d+z-1)^2/4 and
z^2-(d+z-1)^2/4, we find a one-parameter choice of boundary condition type. The
bottom end of this range corresponds to a Breitenlohner-Freedman bound; below
it, the Klein-Gordon operator need not be positive, so we cannot make sense of
the dynamics. Above the top end of the range, only one boundary condition type
is available; here we expect compact initial data will remain compact in the
future.
%0 Generic
%1 Keeler2012Scalar
%A Keeler, Cynthia
%D 2012
%K lifshitz
%T Scalar Boundary Conditions in Lifshitz Spacetimes
%U http://arxiv.org/abs/1212.1728
%X We investigate the conditions imposable on a scalar field at the boundary of
the so- called Lifshitz spacetime which has been proposed as the dual to
Lifshitz field theories. For effective mass squared between -(d+z-1)^2/4 and
z^2-(d+z-1)^2/4, we find a one-parameter choice of boundary condition type. The
bottom end of this range corresponds to a Breitenlohner-Freedman bound; below
it, the Klein-Gordon operator need not be positive, so we cannot make sense of
the dynamics. Above the top end of the range, only one boundary condition type
is available; here we expect compact initial data will remain compact in the
future.
@misc{Keeler2012Scalar,
abstract = {{We investigate the conditions imposable on a scalar field at the boundary of
the so- called Lifshitz spacetime which has been proposed as the dual to
Lifshitz field theories. For effective mass squared between -(d+z-1)^2/4 and
z^2-(d+z-1)^2/4, we find a one-parameter choice of boundary condition type. The
bottom end of this range corresponds to a Breitenlohner-Freedman bound; below
it, the Klein-Gordon operator need not be positive, so we cannot make sense of
the dynamics. Above the top end of the range, only one boundary condition type
is available; here we expect compact initial data will remain compact in the
future.}},
added-at = {2019-02-26T10:37:35.000+0100},
archiveprefix = {arXiv},
author = {Keeler, Cynthia},
biburl = {https://www.bibsonomy.org/bibtex/2e5c05618e75bbcb49a4fa72cf45d06b1/acastro},
citeulike-article-id = {11838173},
citeulike-linkout-0 = {http://arxiv.org/abs/1212.1728},
citeulike-linkout-1 = {http://arxiv.org/pdf/1212.1728},
day = 7,
eprint = {1212.1728},
interhash = {9e3a9aa097fb5cb76d5574779f51756f},
intrahash = {e5c05618e75bbcb49a4fa72cf45d06b1},
keywords = {lifshitz},
month = dec,
posted-at = {2012-12-11 03:50:10},
priority = {2},
timestamp = {2019-02-26T10:37:35.000+0100},
title = {{Scalar Boundary Conditions in Lifshitz Spacetimes}},
url = {http://arxiv.org/abs/1212.1728},
year = 2012
}