I will explain in examples how to incroporate the dependence on spin structure in fermionic lattice models. In two dimensions, I show to construct a spin-TQFT out of a superalgebra. In three dimensions, it turns out that fermionic lattice models are related to bosonic models with a global 1-form symmetry. This bosonization statement can be used…

I will briefly review our current experimental knowledge of dark matter and then discuss recent developments in model building. In particular I will show that dark matter can be a thermal relic exponentially lighter than the weak scale without being exponentially weakly coupled. I will discuss concrete examples of light thermal dark matter with…

I will give a first-principles introduction to p-adic numbers and p-adic AdS/CFT. p-adic numbers are an alternative to the real numbers, and they have a hierarchical structure which lends itself naturally to a holographic construction. The bulk dual to a p-adic boundary is the so-called Bruhat-Tits tree, an infinite regular graph. A bulk…

I will discuss the coupling of non-relativistic field theories to curved spacetime, and develop a framework for analyzing the possible structure of non-relativistic (Lifshitz) scale anomalies using a cohomological formulation of the Wess-Zumino consistency condition. I will compare between cases with or without Galilean boost symmetry, and…

We discuss the exact determination of correlation functions of local operators in four-dimensional N=2 superconformal field theories.

One of the many remarkable properties of conformal field theory in two dimensions is its connection to algebraic geometry. Since every compact Riemann surface is a projective algebraic curve, many constructions of interest in physics (which a priori depend on the analytic structure of the spacetime) can be formulated in purely algebraic language…

Phases of quantum many particle systems can have low energy effective field theoretic descriptions in terms of gauge theories in their deconfined phase. Such emergent gauge theories play a central role in modern theoretical work in condensed matter physics. In the presence of global symmetry many such phases - with the same emergent gauge…

Phases of quantum many particle systems can have low energy effective field theoretic descriptions in terms of gauge theories in their deconfined phase. Such emergent gauge theories play a central role in modern theoretical work in condensed matter physics. In the presence of global symmetry many such phases - with the same emergent gauge…

In this talk, I will discuss the Jackiw-Teitelboim model in 2d dilaton gravity in a holographic context. After deriving the boundary time reparametrization equation and the holographic stress tensor, I will demonstrate that these can be obtained from an effective boundary model. Within that description, the commutator of matter fields at large…

I will review the efforts made towards approaching string universality in six dimensions and report recent "cartographic" developments on exploring the landscape of six-dimensional string vacua. A working conjecture is that all six-dimensional string vacua can be constructed in F-theory, which leads to the problem of classifying all elliptically…

The Ryu-Takayanagi formula and its quantum-corrected version are useful in understanding many aspects of quantum gravity such as subregion duality, emergence of the radial direction, and the generalized second law. In this talk, I will first present a classical argument showing that in the large N limit the von Neumann entropy of a boundary…

I will introduce a technique in studying the analytic structure of perturbative S-matrix of QFTs. The main idea is to associate Feynman integrals to objects in a projective space: polytopes and hypersurfaces. At one loop, this reveals a universal structure for all possible Feynman integrals (in particular, including one-loop amplitudes in any…

In this talk I will review some aspects of a recently proposed duality between topological string on toric Calabi-Yau manifolds and the spectral theory of trace class operators. I will discuss the relation between this construction and Painlevé equations which can be used to prove the duality in a 4-dimensional limit. In addition I will apply…

States of quantum matter without quasiparticles can be more precisely characterized by their rapid approach to local thermal equilibrium: this is argued to happen in a shortest possible time of order (Planck’s constant)/((Boltmann’s constant)x(absolute temperature)). Black holes are physical systems which also equilibrate in this time, with the…

States of quantum matter without quasiparticles can be more precisely characterized by their rapid approach to local thermal equilibrium: this is argued to happen in a shortest possible time of order (Planck’s constant)/((Boltmann’s constant)x(absolute temperature)). Black holes are physical systems which also equilibrate in this time, with the…

I will discuss how to relate the entropy of BPSblack holes in AdS to counting of states in gaugetheory, presenting examples where this can besuccessfully done as well as examples where thisdoes not seem to work.

I will discuss how to relate the entropy of BPS black holes in AdS to counting of states in gauge theory, presenting examples where this can be successfully done as well as examples where this does not seem to work.

The observed small neutrino masses are one of the greatest mysteries in current theoretical particle physics. Many possible origins have been proposed so far, such as the see-saw mechanism, radiative corrections, or large extra dimensions. While all these models have been connected in some way to the Higgs condensate, we propose a substantially…