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Lectures on Holographic Superfluidity and Superconductivity
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Lectures on Holographic Superfluidity and Superconductivity
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Four lectures on holography and the AdS/CFT correspondence applied to condensed matter systems. The first lecture introduces the concept of a quantum phase transition. The second lecture discusses linear response theory and Ward identities. The third lecture presents transport coefficients derived from AdS/CFT that should be applicable in the quantum critical region associated to a quantum phase transition. The fourth lecture builds in the physics of a superconducting or superfluid phase transition to the simple holographic model of the third lecture.
Forward citations
Cited by 12 Pith papers
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Analytical and Numerical Study of Quartic Nonlinear Electrodynamics in Holographic Fermion Systems
An F^4-deformed bulk gauge field raises the chemical potential, lowers T/μ, shifts the Fermi momentum upward, and sharpens the holographic spectral peak without destroying the Fermi surface.
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Effective Field Theory for Superconducting Phase Transitions
An effective field theory for superconducting phase transitions is constructed via Schwinger-Keldysh formalism, reproducing Ginzburg-Landau equations upon truncation while showing overdamped Higgs modes and complex re...
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Searching for emergent spacetime in spin glasses
Spectral functions of SYK, p-spin, and SU(M) Heisenberg models show exponential tails in spin-glass phases and quasiparticle families in spin-liquid phases, with a proof that exponential decay blocks detection of bulk...
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Analytic structure of stress-energy response functions and new Kubo formulae
Authors derive new Kubo formulae for transport coefficients by analyzing analytic structures of stress-energy response functions in second- and third-order hydrodynamics.
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One-point holographic correlator in the expanding universe
In the RS-II braneworld with p-brane gas, the holographic thermal one-point function of heavy operators inherits its time dependence from the brane motion: late-time power-law decays τ^{-Δ/2}, τ^{-2Δ/3}, τ^{-Δ} for ra...
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Holographic Entanglement Anisotropy as a Dark Deformation RG Probe in Hyperscaling-Violating $p$-Wave Superfluids
Strip entanglement anisotropy S⊥−S∥ classifies dark portals in HSV p-wave superfluids into rigid rescalings versus width-running kinetic deformations with short-width W² decoupling.
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Approximate higher-form symmetries and dualities of massive p-forms in the holographic bulk
Develops a holographic realization of approximate higher-form symmetries via massive antisymmetric tensor fields and derives dualities between boundary theories from bulk Hodge dualities, including constraints on curr...
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Holographic Entanglement Anisotropy as a Dark Deformation RG Probe in Hyperscaling-Violating $p$-Wave Superfluids
Dark-scalar portals in holographic anisotropic superfluids yield negative strip susceptibility at vanishing strength in D=4,5 backgrounds, interpreted as UV decoupling of the portal.
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Entanglement Entropy and Complexity of Multicomponent Universe from Holography
For two-component FLRW universes built from an AdS black brane plus p-brane gas, holographic entanglement entropy scales as tau early and as tau^{4/3} (dark matter) or tau^2 (exotic matter) late, while volume complexi...
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Effect of non-conformal deformation on the gapped quasi-normal modes and the holographic implications
Non-conformal deformation via Einstein-dilaton gravity increases the radius of convergence of the derivative expansion for gapped quasinormal modes of a scalar operator in the holographic dual.
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Holographic entanglement entropy and complexity for the cosmological braneworld model
Time-dependent holographic entanglement entropy and complexity are computed perturbatively for braneworld FLRW universes with radiation, matter, and exotic matter by using time-dependent brane positions in black brane...
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Quasinormal modes of black holes and black branes
Quasinormal modes are eigenmodes of dissipative gravitational systems whose spectra encode near-equilibrium transport coefficients in dual quantum field theories and enable tests of general relativity through gravitat...
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