A spectral cutoff RG flow on S^3 realizes the Wilson-Fisher universality class with one relevant direction and critical exponents close to flat-space values.
On the eigenfunctions of the Dirac operator on spheres and real hyperbolic spaces
8 Pith papers cite this work. Polarity classification is still indexing.
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abstract
The eigenfunctions of the Dirac operator on spheres and real hyperbolic spaces of arbitrary dimension are computed by separating variables in geodesic polar coordinates. These eigenfunctions are used to derive the heat kernel of the iterated Dirac operator on these spaces. They are then studied as cross sections of homogeneous vector bundles, and a group-theoretic derivation of the spinor spherical functions and heat kernel is given based on Harish-Chandra's formula for the radial part of the Casimir operator.
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UNVERDICTED 8representative citing papers
CFTs with broken continuous global symmetry on the moduli space require a tower of charged local operators whose scaling dimensions are asymptotically linear in the charge.
Fermionic tidal Love numbers for D-dimensional RN black holes remain nonzero for all angular momentum l (except extremal cases) and lose their l-dependence as D grows to infinity.
Quantum analysis of AdS3 supergravity path integrals at low temperature shows near-horizon region inequivalent to BTZ and sharpens near-extremal versus near-BPS distinctions.
In an anisotropic holographic model of 3D QCD, hadronic systems become unstable when anisotropy exceeds the confinement energy scale, with dragging terms essential for transport properties.
New framework for one-loop log divergences on AdS x S spaces recovers the 1/4 log N ABJM correction from 11d SUGRA in 4d language.
In a 5D open FRW model, negative curvature sustains tracker-like radion evolution that enables dynamical compactification via Casimir stabilization before 4D inflation dilutes curvature remnants.
Review of so(1,D) representations for de Sitter space across all D, covering mixed symmetry and fermions, connected to propagating fields.
citing papers explorer
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Coarse graining from within: Wilson-Fisher universality on $S^3$
A spectral cutoff RG flow on S^3 realizes the Wilson-Fisher universality class with one relevant direction and critical exponents close to flat-space values.
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Moduli Spaces in CFT: Large Charge Operators
CFTs with broken continuous global symmetry on the moduli space require a tower of charged local operators whose scaling dimensions are asymptotically linear in the charge.
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Fermionic Love number of higher-dimensional Reissner-Nordstr\"om black holes
Fermionic tidal Love numbers for D-dimensional RN black holes remain nonzero for all angular momentum l (except extremal cases) and lose their l-dependence as D grows to infinity.
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Revisiting near-extremal and near-BPS black holes in AdS3 supergravity
Quantum analysis of AdS3 supergravity path integrals at low temperature shows near-horizon region inequivalent to BTZ and sharpens near-extremal versus near-BPS distinctions.
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Low-energy hadronic physics in holographic $\mathrm{QCD_{3}}$ with anisotropy
In an anisotropic holographic model of 3D QCD, hadronic systems become unstable when anisotropy exceeds the confinement energy scale, with dragging terms essential for transport properties.
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One-loop divergences for KK theories on $\mathrm{AdS}\times S$ spaces; a reanalysis of $\mathrm{AdS}_4 \times S^7\,\big/$ ABJM precision holography
New framework for one-loop log divergences on AdS x S spaces recovers the 1/4 log N ABJM correction from 11d SUGRA in 4d language.
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Curvature-Assisted Dynamical Compactification in a Pre-Inflationary Higher-Dimensional Universe
In a 5D open FRW model, negative curvature sustains tracker-like radion evolution that enables dynamical compactification via Casimir stabilization before 4D inflation dilutes curvature remnants.
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De Sitter Representations
Review of so(1,D) representations for de Sitter space across all D, covering mixed symmetry and fermions, connected to propagating fields.