Holographic models and their limits

Introduce gauge-gravity duality through explicit conjectured correspondences and controlled calculations, keeping model results distinct from established descriptions of our universe.

10 published lessons1 module350 min of guided study
  1. 01
    Holographic models and their limitsresearch · 10 lessons

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Holographic models and their limits

Introduce gauge-gravity duality through explicit conjectured correspondences and controlled calculations, keeping model results distinct from established descriptions of our universe.

  1. 01

    Large-N factorization and the planar expansion

    Track color topology and operator normalization before interpreting weak bulk interactions.

    35 min
  2. 02

    Anti-de Sitter geometry and its conformal boundary

    Keep curvature, patch coordinates and the boundary conformal class distinct.

    35 min
  3. 03

    The AdS/CFT dictionary and its parameter regimes

    Separate an exact duality conjecture from classical, string-curvature and quantum approximations.

    35 min
  4. 04

    Bulk scalar mass and boundary scaling dimension

    Derive the near-boundary indicial roots and distinguish stability from a choice of quantization.

    35 min
  5. 05

    Boundary correlators from bulk actions

    Use a source convention, a saddle and the correct functional derivatives to define the calculation.

    35 min
  6. 06

    Holographic renormalization and counterterms

    Remove cutoff divergences through local boundary terms while preserving the distinction between scheme and dynamics.

    35 min
  7. 07

    Black-brane thermodynamics and field-theory temperature

    Read an uncharged planar Einstein saddle in a fixed ensemble and verify its thermodynamic identities.

    35 min
  8. 08

    Holographic transport and Kubo calculations

    Connect retarded response to horizon conditions while limiting the scope of the Einstein viscosity result.

    35 min
  9. 09

    Ryu–Takayanagi entropy in semiclassical models

    Track the surface, homology and saddle assumptions behind classical and quantum entropy formulas.

    35 min
  10. 10

    Bulk reconstruction and quantum error correction questions

    Explain redundant logical reconstruction within a code subspace without claiming independent copies or unrestricted information access.

    35 min
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