Abstract: We investigate the emergence of thermalization in a quantum field-theoretic model mimicking the production of jets in QCD -- massive Schwinger model coupled to external sources. Through these studies, we elucidate the mechanisms by which quantum entanglement drives thermalization in closed field-theoretic systems. Our results show how thermodynamic behavior emerges, in real time, from unitary quantum dynamics.
Abstract: Duality is one of the most fascinating phenomena in quantum field theory. Engineering quantum field theories in string theory using geometry and branes provides a powerful framework for understanding their dynamics, offering new perspectives on known dualities and facilitating the discovery of novel ones. To illustrate these ideas, I will first present recent progress in realizing 2d (0,2) gauge theories using branes. I will introduce Brane Brick Models, a new class of Type IIA brane configurations that are T-dual to D1-branes probing singular toric Calabi–Yau 4-folds. These models fully encode the infinite class of 2d (0,2) quiver gauge theories on the worldvolume of the D1-branes and substantially streamline their connection to the probed geometries. They also provide a natural brane realization of triality. I will then explain how mirror symmetry deepens our understanding of these theories, enabling the prediction of new order-n dualities in different dimensions and offering a geometric unification of them. Finally, I will show how geometric engineering opens an independent direction toward theories with reduced supersymmetry.
Abstract: Quantum entanglement, symmetries and defects are captivating topics in quantum physics and quantum information science, where analytical methods enabling exact solutions along with robust numerical techniques can be employed to address a range of interesting problems. In this talk, I will describe some recent work illustrating two examples which connect these three interesting subjects. The first example concerns the symmetry resolution of quantum entanglement, which captures the refined structure of entanglement in quantum systems with global symmetries. In particular, I will briefly describe a computational framework suitable for tracking the dynamical evolution of symmetry resolved entanglement and symmetry charge full-counting statistics in symmetry-preserving out-of-equilibrium settings. The second example concerns topological defects in quantum systems, which play important roles in the construction of physical quantities with long lifetimes.
Abstract: Theoretical physics, and string theory in particular, if often seen as a field requiring too much background knowledge to allow for meaningful participation by undergraduate students. However, for faculty members at small, primarily undergraduate institutions, involving students in research is often seen as a key element in maintaining a vibrant local physics community. Moreover, AdS/QCD in particular is actually well suited for small undergraduate projects: its connections to particle data, numerical work, field theory, general relativity, and other topics in theoretical physics allow students many possible footholds for beginning broader explorations. I will discuss several past and future student projects, with a focus on how projects are tailored to individual student needs and constraints.
Abstract: It is well known that modular invariance of the one-loop partition function of a 2D conformal field theory places constraints on the spectrum of local operators. The modular bootstrap is a method to extract useful information from those constraints, for instance by providing an upper bound on the conformal weight of the first excited state. Work by Chiang et al reformulates the modular bootstrap into the mathematical language of a moment problem. We review these ideas, including a small modification to account for the possibility of conserved current operators. We then apply these techniques to theories with (generalized) symmetries, where we now have modular covariance of a collection of anyon partition functions. Surprisingly, even a first-order truncation of the problem in this case, which can be analyzed analytically, can give non-trivial spectral bounds.
Abstract: I will show how staggered or Kaehler-Dirac fermions suffer from a gravitational anomaly that can be computed exactly on a finite lattice. The anomaly breaks an exact onsite U(1) symmetry to Z_4. This contradicts the usual folklore that anomalies can only arise in systems with an infinite number of degrees of freedom. It also evades the Nielsen-Ninomiya theorem since the U(1) symmetry in question is not generated by \gamma_5. Furthermore, a mod 2 't Hooft anomaly arises if we attempt to gauge this residual Z_4 symmetry which can only be cancelled if the system contains even numbers of flavors of staggered field. While the theory is not invariant under the usual chiral symmetry at non-zero lattice spacing, the naive continuum limit of the minimal anomaly free model in four dimensions nevertheless possesses the symmetries and matter representations of the Pati-Salam GUT - a chiral gauge theory containing the Standard Model. These conclusions are based on path integral methods but a Hamiltonian analysis is also possible and I will comment also on that.
Abstract: 2D Orbifold CFTs provide interesting candidate holographic theories in the context of AdS_3/CFT_2. In this talk I will give an overview of the construction of 2D orbifold CFTs in the case where the orbifold symmetries act as permutations of operators. For these cases there are powerful calculational methods available using covering surfaces. Specifically, I introduce techniques that can facilitate deformation of the theory away from the orbifold point.
Abstract: In this talk we will discuss our recent study of the Sakai-Sugimoto holographic model in the off-shell formalism. This model is famous for implementing the approximate chiral symmetry of QCD and reproducing the Chiral Lagrangian in a top-down holographic approach. Off-shell holography is a formalism most suitable for derivation of boundary effective actions. Thus derived effective action is very rich in physics: it contains an U(N_f) multiplet of massless pseudoscalars interacting with towers of massive spin-1 mesons. In contrast to the previous studies, our effective action is non-local. The original Chiral Lagrangian is recovered as its local expansion in small pi-meson momenta (derivative expansion).
Abstract: I will discuss holography-motivated ideas to understand nonequilibrium phenomena using techniques from quantum information and bootstrap. The aim is to extend holographic insights and to understand possible limitations of the holographic lessons in theories beyond large number of colors and strong coupling. Based on 1912.08836, 2206.10528, 2212.07434 and 2305.07703.