**Abstract**: Conformal field theories that exhibit spontaneous breaking of conformal symmetry (a moduli space of vacua) are expectedly rare in the landscape of CFTs. Intuitively, this is because a delicate conspiracy is needed to fine-tune to zero the potential of the dilaton. Yet, it is difficult to phrase this intuition in…

We employ a probabilistic mesoscopic description to draw conceptual and quantitative analogies between Brownian motion and late-time fluctuations of thermal correlation functions in generic chaotic systems respecting ETH. We apply this formalism to the case of semiclassical gravity in AdS3, showing that wormhole contributions can be naturally…

I propose a bottom-up correspondence between a CFT defined on 2D non-orientable manifolds, such as the real projective plane (RP2) and the Klein bottle (K2), and AdS3 Einstein gravity with dS2 end-of-the-world branes. In this correspondence, a global dS2 end-of-the-world brane (a quotient by Z2) is described by the unitary time evolution of a…

Abstract: The Anti-de-Sitter/Condensed Matter Theory (AdS/CMT) correspondence has attracted significant attention within high-energy physics, particularly in the study of holographic superconductors, which are modeled as asymptotically Anti-de-Sitter (AdS) hairy black holes. In this talk, I will present recent mathematical advancements in the…

First introduced in the 60s, positivity bounds for S-matrices have undergone a revival in the past few years, with systematic implementations that improve by the day. Among the recent results are sharp bounds on the EFTs of various gauge and gravitational theories. A common feature of the resulting exclusion regions, however, is that they tend…

I shall describe the recent theoretical advances in the description of turbulence in different media.

An important point is how different the meaning of renormalization in turbulence is from what we used to know in the field theory.

For quartic interaction, we were recently able to compute the vertex renormalization and distinguish…

We consider quantum electrodynamics in 2+1 dimensions (QED3) with N matter fields and Chern-Simons level k. For small values of k and N, this theory describes various experimentally relevant systems in condensed matter, and is also conjectured to be part of a web of non-supersymmetric dualities. We compute the scaling dimensions of monopole…

Tensor network states are new kinds of variational wavefunctions that help us to understand quantum phases and phase transitions beyond Landau paradigm. In this talk, I will first review the major development of tensor network simulation in the past two decades. In particular, I will introduce the novel concept of long-range entanglement and…

I will introduce a new 2d gravity/matrix integral duality. The bulk theory is a two-dimensional string theory defined by coupling two copies of Liouville CFT with central charges c = 13 ± is on the worldsheet. We call this string theory the complex Liouville string. The complex Liouville string may be recast…

The existence of multi black hole solutions in asymptotically flat spacetimes is one of the expectation from the final state conjecture. In this talk, I will present preliminary works in this direction via a semilinear toy model in dimension 3. In particular, I show 1) an algorithm to construct approximate…

I will discuss two methods for diagnosing ’t Hooft anomalies of internal symmetries in 2+1d lattice systems. Anomalous symmetries of this kind arise naturally at the boundary of 3+1D symmetry-protected topological phases, and are known to be classified by the group cohomology of the symmetry group. The first method is…

Higgs branches in theories with 8 supercharges change as one tunes the gauge coupling to critical values.

This talk will focus on six dimensional (0,1) supersymmetric theories in studying the different phenomena associated with such a change. Based on a Type IIA brane system, involving NS5 branes, D6 branes and…

In this talk we use integrability data to bootstrap correlation functions of planar maximally supersymmetric Yang- Mills theory, focusing on four-point correlation function of stress-tensor. First, we start by demonstrating why the conventional bootstrap approach fails and new techniques are required. Next,…

In this talk I will discuss holographic duals of topological operators. At low energy sugra, they can be realized by Page charge associated to Gauss law constraints. In the UV string theory, topological operators can be characterized by various brane configurations. This provides a way of exploring generalized…

Quantum critical points usually separate two distinct phases of matter. Here I will discuss a class of "unnecessary" quantum critical points that lie within a single phase of matter (much like the liquid-gas transition, except that they are continuous) so that there is a path that avoids them. First found in critical…

The method of e*xhaustively-symmetrized light-cone quantization *(eLCQ) is described. As a continuous approach to solving quantum bound-state problems, it exploits the symmetries of physical systems to generate an optimal set of basis functions. It has been successfully applied to two-dimensional QCD with adjoint fermions in the…

I will describe constructions of lattice field theories that assign a single bosonic variable to each site, rather a conjugate pair x,p. The information to realize a non-trivial dynamics is realized by non-trivial Poisson brackets between nearest neighbors. The construction is similar to staggered fermions in 1+1…

I will summarize recent results on the large N limit of path integrals of 3d SCFTs arising on the worldvolume of N M2-branes placed on compact Euclidean manifolds. The leading N^3/2 term in the large N expansion of these "free energies" receives 1/N, log(N), as well as exponentially suppressed corrections that can be…

** **The Miura transformation is a powerful formalism to construct generators of vertex operator algebras in free field representation. In this talk, I will explain that Miura operators are R-matrices of a certain quantum algebra, and comment on physical implications. I will also describe how to…

The Gaiotto-Moore-Witten "Algebra of the Infrared" allows one to construct the category of supersymmetric boundary conditions for a wide class of massive N=(2,2) QFTs in two dimensions. In particular, it applies to N=(2,2) QFTs defined by a Morse superpotential W. However, the formalism breaks down if we consider an N=…

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