This series covers all areas of research at Perimeter Institute, as well as those outside of PI's scope.
One of the main challenges that we face both as individual persons and as a species concerns the distribution and use of resources, such as water, time, capital, computing power or negatively valued
resources like nuclear waste. Also within theoretical physics, one
frequently deals with resources like free energy or quantum entanglement. I will describe a mathematical theory of resources which makes quantitative predictions about how many resources are required for
producing a certain commodity and outline some applications to information theory.
Gravitational radiation promises to teach us many new
things about the universe and the world around us, but all attempts to observe
gravitational waves have so far been unsuccessful. I will discuss some of the challenges we need
to overcome in our quest to detect this elusive form of energy, and how
tackling these challenges is opening new windows on fundamental physics. I will show, specifically, how novel data
analysis strategies have been used to combat detector noise in searches for
Theorists have been studying and classifying entanglement in many-particle quantum states for many years. In the past few years, experiments on such states have finally appeared, generating much excitement. I will describe experimental observations on magnetic insulators, ultracold atoms, and high temperature superconductors, and their invigorating influence on our theoretical understanding.
The Pauli exclusion principle is a constraint on the
natural occupation numbers of fermionic states. It has been suspected for
decades, and only proved very recently, that there is a multitude of further
constraints on these numbers, generalizing the Pauli principle. Surprisingly,
these constraints are linear: they cut out a geometric object known as a
polytope. This is a beautiful mathematical result, but are there systems whose
physics is governed by these constraints?
In one extreme, where the interactions
are sufficiently weak compared to the interactions, electrons form a “Fermi
liquid” – the state that accounts for the properties of simple metals. In the other extreme, where the interactions
are dominant, the electrons form various “Mott” insulating or “Wigner
crystalline” phases, often characterized by broken spatial and/or magnetic symmetries. Corresponding charge and/or magnetically
ordered insulating phases are common in nature.
The global warming
crisis is part of a bigger transformation in which humanity realizes that the
Earth is a finite system and that our population, energy usage, and the like
cannot continue to grow exponentially. While politics and economics pose the
biggest challenges, physicists are in a good position to help make this
transition a bit easier. After a quick review of the problems, we discuss a few
ways physicists can help.
Black holes are the elementary particles of gravity, the
final state of sufficiently massive stars and of energetic collisions. With a
forty-year long history, black hole physics is a fully-blossomed field which
promises to embrace several branches of theoretical physics. Here I review the
main developments in highly dynamical black holes with an emphasis on high
energy black hole collisions and probes of particle physics via superradiance.
Human monkeys are used to thinking about the problem of
choosing from a set of objects according to some desired, biased, probability
distribution. Just think about how you chose your partner(s). Even when it is
easy for you to do such a sampling, it can be difficult to do a quantum
sampling (Q-Sampling) of the same distribution. By Q-Sampling I mean the
creation of a coherent superposition of states of such objects whose amplitudes
are the (square roots of) of the specified distribution. In this talk I will
I'll explain a new connection between supersymmetric
gauge theories and the Yangian. The main result is that a twisted, deformed
version of the pure N=1 supersymmetric gauge theory is controlled by the
Yangian, in the same way that Chern-Simons theory is controlled by the quantum
group. This result is used to give an exact calculation, in perturbation
theory, of the expectation value of a certain net of n+m Wilson operators in
the deformed N=1 gauge theory. This expectation value coincides with the
holographic correspondence is a powerful duality between a quantum theory of
gravity and a quantum gauge theory in one lower space-time dimension. Higher
spin gravity theories, i.e. gravity theories that also contain (gauge) fields
of spins greater than 2, play a special role in holography. I will explain
consistent interacting higher spin gravity theories in anti-de Sitter space,
their duality with gauged conformal vector models, and their connection to