PiTP 2024 - Pre-Reading Materials

Suggested PiTP 2024 pre-reading materials are now available.  Please check back frequently as we will update this list as new information becomes available.

Ignacio Cirac:

Matrix product states and projected entangled pair states: Concepts, symmetries, theorems, Ignacio Cirac, David Pérez-García, Norbert Schuch, and Frank Verstraete, Rev. Mod. Phys. 93, 045003 (2021) (arXiv:2011.12127)

Eslam Khalaf:

https://www.sciencedirect.com/science/article/abs/pii/S0003491621002529
https://arxiv.org/abs/2209.15023

Vedika Khemani:

arXiv:2310.16032
arXiv:2402.16831

Masaki Oshikawa:

- basics:  arXiv:cond-mat/9911137 arXiv:cond-mat/0002392 arXiv:cond-mat/0209144
- electric polarization: arXiv:1802.00218 arXiv:2302.00800
- (nonlinear) electric conductivities: arXiv:2003.10390 arXiv:2105.11378

Shinsei Ryu:

https://arxiv.org/abs/2304.05356
https://arxiv.org/abs/2405.05327
https://arxiv.org/abs/2405.05325

Subir Sachdev:
 

https://sachdev.physics.harvard.edu/Sachdev_PITP_lecture_notes.pdf

Shu-Heng Shao:

Section 3.3 of "What's Done Cannot Be Undone: TASI Lectures on Non-Invertible Symmetries", arXiv: 2308.00747
"Majorana chain and Ising model -- (non-invertible) translations, anomalies, and emanant symmetries",  arXiv:2307.02534
"Non-invertible symmetries and LSM-type constraints on a tensor product Hilbert space", arXiv:2401.12281
"Cluster state as a non-invertible symmetry protected topological phase", arXiv:2404.01369 

Dam Thanh Son:

arXiv:2203.05004
arXiv:2307.02536
arXiv:2103.09826

Xiao-Gang Wen:

Section II of arXiv:2212.14432
arXiv:2203.03596
arXiv:1912.13492
(original references: arXiv:1405.5858, arXiv:1502.01690, arXiv:2005.14178