Our group’s research in QFT covers a wide range of topics, starting with conformal field theories (CFTs) and their applications in both lower-dimensional models and more general high-energy contexts. We investigate large-N models—including vector models, matrix models, and their generalization—to understand how collective phenomena emerge at strong coupling. By formulating these theories in terms of collective field theory, we gain a powerful framework that captures the collective dynamics of a large number of degrees of freedom. These methods not only illuminate fundamental aspects of large N expansion but also offer insights into how the spacetime can emerge from large N models.

 

Another key focus area is the Sachdev-Ye-Kitaev (SYK) model, whose solvable large-N limit makes it an ideal platform to study non-Fermi liquid phases, quantum chaos, and holographic dualities to black hole. We further explore TTbar-deformations—a class of “irrelevant” deformations that alter a QFT while maintaining exact solvability in certain regimes. From a practical standpoint, we also explore numerical simulations to probe non-perturbative effects that remain inaccessible to analytic methods. Through techniques such as Monte Carlo methods and complex Langevin simulation, we aim to establish a deeper bridge between theoretical predictions and concrete computational evidence, shedding new light on strongly correlated quantum systems.