Bulk Reconstruction- Nirmalya Kajuri (CMI) and Ronak Soni (TIFR)
Lecture notes:
Lectures 1 and 2 - Nirmalya Kajuri
References:
First two lectures - Nirmalya Kajuri
1. Tasi Lectures on the emergence of bulk in AdS/CFT by Daniel Harlow (https://arxiv.org/abs/1802.01040)
2.Constructing local bulk observables in interacting AdS/CFT by Kabat, Lifschytz and Lowe (https://arxiv.org/abs/1102.2910)
3.Bulk locality and boundary creating operators by Nakayama and Ooguri (https://arxiv.org/abs/1507.04130)
4.Eternal black holes and superselection sectors in AdS/CFT by Marolf and Wall (https://arxiv.org/abs/1210.3590)
5. Comments on the necessity and implications of state dependence in the black hole interior by Raju and Papadodimas (https://arxiv.org/abs/1503.08825)
Last two lectures - Ronak Soni
Stuff I'll cover, at various levels of detail, along with some stuff added for completeness:
- Quantum-Corrected Ryu-Takayanagi Formula:
- First-Order Correction: 1307.2892, " Quantum corrections to holographic entanglement entropy" by Faulkner Lewkowycz and Maldacena.
- All orders formula (included solely for completeness): 1705.08453, "Entropy, Extremality, Euclidean Variations, and the Equations of Motion " by Dong and Lewkowycz.
- Implications for relative entropy: 1512.06431, "Relative Entropy equals Bulk Relative Entropy" by Jafferis, Lewkowycz, Maldacena and Suh.
- Introduction to generalised free fields and the first (and best) explanation of the code subspace, which I'll follow: 1101.416, "Emergent Spacetime and Holographic CFTs" by Sheer El-Showk and Kyriakos Papadodimas
- QEC basics:
- First paper: 1411.7041, " Bulk Locality and Quantum Error Correction in AdS/CFT" by Almheiri, Dong and Harlow.
- An example (I won't cover this in detail): 1708.00035, " Code subspaces for LLM geometries" by Berenstein and Miller.
- QEC in 2d Ising CFT (I won't cover this in detail) : 1611.07528, "Towards holography via quantum source-channel codes" by Pastawski, Eisert and Wilming.
- The main results (and the only QEC paper you really need to read):1607.03901, "The RT Formula from QEC," by Harlow
- Entanglement wedge reconsruction:
- The original mention of the entanglement wedge and the original conjecture of entanglement wedge reconstruction (included for completeness): 1408.6300, " Causality & holographic entanglement entropy" by Headrick, Hubeny, Lawrence and Rangamani.
- The first proof (subsumed in Harlow's 1607 paper): 1601.05416, " Reconstruction of Bulk Operators within the Entanglement Wedge in Gauge-Gravity Duality " by Dong, Harlow and Wall.
- Some early results (included for completeness, and to give credit where credit is due): 1607.03605, " Explicit reconstruction of the entanglement wedge " by Jung-Wook Kim.
- The quantum information view: 1704.05839, " Entanglement Wedge Reconstruction via Universal Recovery Channels" by Jordan Cotler, Patrick Hayden, Grant Salton, Brian Swingle, Michael Walter
- The field theory view: 1704.05464, "Bulk locality from modular flow" by Faulkner and Lewkowycz
Papers it's a bad idea to read till you have a handle on the basics, for being misleading though not wrong:
- Toy models that receive too much publicity: 1503.06237, " Holographic quantum error-correcting codes: Toy models for the bulk/boundary correspondence" by Pastawski, Yoshida, Harlow Preskill.
- More generally, any paper with tensor networks.
- A misleading analogy: 1501.06577, " Bulk-Boundary Duality, Gauge Invariance, and Quantum Error Correction" by Mintun, Polchinski and Rosenhaus. To understand why it's misleading, read the "Are gauge constraints enough?" section in 1503.06237.
- Some nice calculations in the context of the misleading analogy: 1602.004811 by Freivogel, Jefferson and Kabir. Also other papers by the same group.
Criminal omissions:
- An important extension of HKLL, showcasing the importance of the code subspace: 1603.02812, " A toy model of black hole complementarity" by Banerjee, Bryan, Papdodimas and Raju.
- Stuff on subregion-subregion duality that rejects algebraic formulations: 1712.09365, " Quantum information measures for restricted sets of observables " by Sudip Ghosh and Suvrat Raju.