Ivan Agullo—Quantum Field Theory in Curved Spacetimes

Day 1: Texts on Quantum Field Theory in Curved Spacetime:

• Birrell & Davies
• Wald
• Parker and Toms
• Navarro-Salas & Fabbri
• Fulling

Maïté Dupuis—3D Gravity and Quantum Groups

Day 6: Books on Lie bialgebras, Poisson Lie groups and Quantum groups:

• Chari and Pressley, A Guide to Quantum Groups
• S. Majid, Foundations of quantum group theory

Papers on Lie bialgebras, Poisson Lie groups and/or Quantum groups:

• Lie bialgebras, Poisson Lie groups and dressing transformations, Y. Kosmann-Schwarzbach 2004
• Berkley lectures on Lie groups and Quantum groups (from p. 225)

Physics papers

• The Hilbert space of 3d gravity: quantum group symmetries and observables, K. Meusburger & K. Noui (links LQG and Chern-Simons for a zero cosmological constant; as well as Quantum group as a quantum symmetry of LQG)
• Three Dimensional Loop Quantum Gravity: Particles and the Quantum Double, K. Noui (LQG with zero cosmological constant coupled to Matter - full Quantum group structure)
• Quantum gravity and non-commutative spacetimes in three dimensions: a unified approach, B. Schroers (Chern-Simons for different cases, e.g. sign of the cosmological constant & signature)

Papers on the deformed LQG (Euclidean 3D gravity with a negative cosmological constant):

• arXiv:1402.2323
• arXiv:1403.7121
• arXiv:1311.6841

Day 3: Notes for Day 3 (pdf)
Day 2: Notes for Day 2 (pdf)
Day 1: Notes for Day 1 (pdf)

Laurent Freidel—Edge Modes, Soft Modes, & Quantum Gravity

Day 3: Lecture notes for day 3.
Day 2: Lecture notes for days 1 and 2.
Day 1: A handful of references chosen from many relevant ones:

• V. Iyer and R. M. Wald arXiv:9403028
• T. Jacobson and A. Mohd arXiv:1507.01054
• A. Strominger arXiv:1703.05448
• C. Rovelli arXiv:1308.5599
• L. Freidel and W. Donnelly arXiv:1601.04744
• L. Freidel, A. Perez, and D. Pranzetti arXiv:1611.03668

Carlo Rovelli—Covariant Loop Quantum Gravity

• A collection of references for Carlo's course is here.
• P. Martin-Dussaud arXiv:1902.08439

Ed Wilson-Ewing—Quantum Cosmology

Day 6: A brief, incomplete list of references on the connections between Loop Quantum Cosmology and full Loop Quantum Gravity:

• D. Oriti, L. Sindoni, & E. Wilson-Ewing arXiv:1602.05881
• E. Alesci & F. Cianfrani arXiv:1301.2245
• E. Bianchi, T. Krajewski, C. Rovelli, & F. Vidotto arXiv:1101.4049

A brief, incomplete list of references on perturbations in Loop Quantum Cosmology and Loop Quantum Gravity:

• T. Cailleteau, J. Mielczarek, A. Barrau, & J. Grain arXiv:1111.3535
• I. Agullo, A. Ashtekar, & W. Nelson arXiv:1211.1354
• E. Wilson-Ewing arXiv:1512.05743

Day 1: Some References:

• V. F. Mukhanov, H. A. Feldman, and R. H. Brandenberger, Phys Rep. 215 (1992) 203-333.
• D. Baumann arXiv:0907.5424