Explore the fascinating world of quantum physics in this 45-minute lecture on Tomonaga-Luttinger liquid and Quantum Criticality in spin-1/2 antiferromagnetic systems. Delivered by Deepshikha Jaiswal Nagar at the International Centre for Theoretical Sciences, this talk is part of the "Engineered 2D Quantum Materials" program. Delve into the intricacies of emergent electronic, magnetic, and topological phenomena in two-dimensional synthetic structures of quantum materials. Gain insights into how reduced dimensionality and frustrated coupling across 2D interfaces can lead to new electronic band structures and host emergent behaviors. Perfect for graduate students, postdocs, and researchers interested in artificially engineered heterostructures, this lecture contributes to a broader discussion on topics such as magnetism, topological superconductivity, flat bands, correlated phenomena, and quantum simulators using engineered 2D materials.