# Title Area density of localization-entropy I: the case of wedge-localization

July 05, 2005

Using an appropriatly formulated holographic lightfront projection, we derive
an area law for the localization-entropy caused by vacuum polarization on the
horizon of a wedge region. Its area density has a simple kinematic relation to
the volume extensive heat bath entropy of the lightfront algebra. Apart from a
change of parametrization the infinite lighlike length contribution to the
lightfront volume factor corresponds to the short-distance divergence of the
area density of the localization entropy. This correspondence is a consequence
of the conformal invariance of the lightfront holography combined with the
well-known fact that in conformality relates short to long distances. In the
explicit calculation of the strength factor we use the temperature duality
relation of rational chiral theories whose derivation will be briefly reviewed.
We comment on the potential relevance for the understanding of Black hole
entropy.

Keywords:

holographic principle, entropy, vacuum polarization