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On the T-dual renormalisation of entanglement entropy
Imposing T-duality in the renormalisation process of entanglement entropy
leads to new relations between entanglement entropy counter-terms. T-duality is
made explicit by means of the generalised metric of double field theory in the
context of bulk-boundary duality. Double field theory in the bulk naturally
provides the new relations between higher order quantum corrections to
entanglement entropy as well as a systematic approach to understanding
entanglement entropy renormalisation counter-terms. An analogue for
Slavnov-Taylor identities for T-dual counter-terms of entanglement entropy is
envisaged
Multipartite entanglement via the Mayer-Vietoris theorem
The connection between entanglement and topology manifests itself in the form
of the ER-EPR duality. This statement however refers to the maximally entangled
states only. In this article I study the multipartite entanglement and the way
in which it relates to the topological interpretation of the ER-EPR duality.
The dimensional genus torus will be generalised to a -dimensional
general torus, where the information about the multipartite entanglement will
be encoded in the higher inclusion maps of the Mayer-Vietorist sequence.Comment: 2 figure
Global aspects of the renormalization group and the Hierarchy problem
The discovery of the Higgs boson by the ATLAS and CMS collaborations allowed
us to precisely determine its mass being 125.09 0.24GeV. This value is
intriguing as it lies at the frontier between the regions of stability and
meta-stability of the standard model vacuum. It is known that the hierarchy
problem can be interpreted in terms of the near criticality between the two
phases. The coefficient of the Higgs bilinear in the scalar potential, ,
is pushed by quantum corrections away from zero, towards the extremes of the
interval where is the Planck mass. In this
article, I show that demanding topological invariance for the renormalisation
group allows us to extend the beta functions such that the particular value of
the Higgs mass parameter observed in our universe regains naturalness. In
holographic terms, invariance to changes of topology in the bulk is dual to a
natural large hierarchy in the boundary quantum field theory. The demand of
invariance to topology changes in the bulk appears to be strongly tied to the
invariance of string theory to T-duality in the presence of H-fluxes.Comment: arXiv admin note: text overlap with arXiv:1407.4574, (ref. [20] in
manuscript, author note), arXiv:hep-th/9504148, (ref. [14] in manuscript,
author note) by other author
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