Wednesday, December 13th, 2017
Tensor-Network Methods: Structure, Applications and Holography
Time: 12:00 AM - 12:00 AM
Description: For more information please visit:
Physics Seminar: Mark Mezei
Time: 1:30 PM - 2:30 PM
Location: SCGP 313
Description: Title: Perturbative approaches for monopole operators Abstract: Besides the familiar operators built from fundamental fields, three dimensional gauge theories contain an interesting set of local operators, monopoles that are defined by boundary conditions on the fields. Monopole operators play an important role in the dynamics of these theories and are essential entries in duality dictionaries. Even when the gauge theory is weakly coupled they cannot be studied using Feynman diagrams. When the theory flows to a CFT in the infrared, one can use the state operator correspondence to study the properties of monopole operators. In this talk, I describe how to compute the quantum numbers of monopoles using two perturbative methods: the expansion in the number of flavors and the epsilon-expansion. I compare the results to Quantum Monte Carlo simulations and bounds coming from the numerical conformal bootstrap.
Lecture Course by Mark Mineev
Time: 2:30 PM - 3:30 PM
Location: SCGP 313
Description: Title: "Introduction to integrable processes far from equilibrium: Laplacian growth, DLA, and others" Abstract: Synopsis: This multi-disciplinary course of lectures on integrable growth is a critical account of the field (maybe somewhat subjective). Numerous unstable non-equilibrium physical processes produce a multitude of rich complex patterns, both compact and (more often) fractal. Shapes of patterns in a long time limit include fingers in porous media, dendritic trees in crystallization, fractals in bacterial colonies and malignant tissues, river networks, and other bio- and geo- systems. The patterns are often universal and reproducible. Geometry and dynamics of these forms present great challenges, because mathematical treatment of nonlinear, non-equilibrium, dissipative, and unstable dynamical systems is, as a rule, very difficult, if possible at all. While many impressive experimental and computational results were accumulated, powerful analytic methods for these systems were very limited until recently. Remarkably, many of these growth processes were reduced (after some idealization) to a mathematical formulation, which owns rich, powerful and beautiful integrable structure, and reveals deep connections with other exact disciplines, lying far from non-equilibrium growth. In physics the examples include quantum gravity, quantum Hall effect, and phase transitions. In classical mathematics, this structure was found to be deeply interconnected with such fields as the inverse potential problem, classical moments, orthogonal polynomials, complex analysis, and algebraic geometry. In modern mathematical physics we established tight relations of nonlinear growth to integrable hierarchies and deformations, normal random matrices, stochastic growth, and conformal theory. This mathematical structure made possible to see many outstanding problems in a new light and solve several long-standing challenges in pattern formation and in mathematical physics. I will provide brief history with key experiments and paradigms in the field, make short surveys of mathematics mentioned above, expose the integrable structure hidden behind the interface dynamics, and will present major results up to date in this rapidly growing field. Finally I will list and discuss outstanding unresolved challenges, most notably derivation of the fractal spectrum for a diffusion-limited aggregation (DLA), which is still out of analytic reach since 1981, when it was discovered.
Physics Seminar: Adar Sharon
Time: 4:00 PM - 5:00 PM
Description: Title: Title: QCD3 dualities and the F Theorem