Submissions from James McNeill
- [1] faKiv:2405.07275 [pdf]
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The entropy of the AdS/CFT correspondenceComments: 17 pages, 2 figures. arXiv admin note: text overlap with arXiv:1807.05801
We demonstrate that the entropy for the AdS/CFT correspondence is equivalent to the one obtained by the quantum field theory, but in particular the one obtained by the AdS/CFT correspondence, which is a non-perturbative way of computing the entropy. We find that the AdS/CFT correspondence is a geometric quantity and the entropy is a function of the distance between two points in the AdS/CFT correspondence. We also show that the entropy is a function of the number of states of the AdS/CFT correspondence and the energy density of the AdS/CFT correspondence.
- [2] faKiv:2405.07473 [pdf]
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The case of the Higgs sector of the deterministic theory for a non-abelian gauge theoryComments: 18 pages, 5 figures, v3: reference added; v4: minor changes in text
We study a simple deterministic theory of gravity without the Higgs sector. We introduce a new class of elementary models, called "Higgs-bundles", which are "normal" in general relativity, leaving behind a deformed Higgs sector. We show that these models have two distinct physical interpretations. One is an energy-momentum tensor model in which the critical point is an energy-momentum tensor model of a light Higgs boson (or light gauge field) coupled to gauge fields. This model is shown to possess the Higgs-bundles and a light Higgs-bundle. The other is a heavy Higgs model in which the critical point is a heavy Higgs boson coupling to a heavy gauge field. We show that such models have a duality of polarity. The heavy gauge field model is shown to have a duality when the light gauge field model contains a heavy Higgs boson and light Higgs bosons. The duality is described by a quiver gauge theory and by a pure gauge theory, which are shown to be dual to pure electroweak gauge fields. The duality is further described by a gauge theory and a complete mathematical model, which are shown to be dual to the Higgs sector of the classical continuum theory.