't Hooft anomalies provide a unique handle to study the nonperturbative dynamics of strongly-coupled theories. Although this type of anomalies was known since the 80's, recently it has been realized that one can generalize them by turning on 't Hooft twists in the color, flavor, and baryon number directions. Such generalized anomalies put severe constraints on the possible realizations of the...

The connection between QCD and string theory is expected through the gauge/gravity correspondence. Particularly, it predicts that the baryons are discribed by D-branes. (This relation is analogous to the Skyrmion model where the baryons are obtained as solitons, since D-branes are also solitons in string theory.) In this talk, I will review how the D-branes behave as baryons, and discuss our...

The lattice three-gluon vertex in the Landau gauge is

revisited using a large physical volume ∼(8fm)^4 and a large statistical

ensemble. The improved calculation explores the symmetries of the

hypercubic lattice to reduce the statistical uncertainties and to

address the evaluation of the lattice artefacts. In particular we focus

on the low energy behaviour of the vertex and look at...

The "periodic table" of strongly coupled gauge theories remains only sketchily understood. Holography has developed to the point where bottom up constructions can describe the spectrum of individual gauge theories (based on assumptions of their running) including quarks in different representations and higher dimension operators. I highlight the method with a "perfected" version of the AdS...

Sp(4) gauge theory with two fundamental and three antisymmetric fermion flavours is a template for beyond the standard model strong interactions that can give rise to a composite Higgs boson through the breaking of the global fundamental flavour symmetry and at the same time to a partial composite top quark state that explains why the observed mass of the latter particle is at the electroweak...

In this talk I will present the results of the first numerical investigation of a gauge theory with adjoint and fundamental fermion fields. It corresponds to the heavy scalar limit of supersymmetric QCD and has further applications in composite Higgs models and semiclassical investigations of confinement. I will discuss the interplay of the different fermion representations and relations to...

We review dilaton chiral perturbation theory (dChPT), the low-energy theory for the light sector of near-conformal, confining theories. dChPT accounts for the pions and the light scalar,and provides a systematic expansion in both the fermion mass and the distance to the conformal window. Unlike ChPT, dChPT predicts a large-mass regime in which the theory exhibits hyperscaling,while the...

I review attempts at constructing models of partial compositeness from strongly coupled gauge theories.

A few minimality assumptions allow one to isolate a small number of prototypical models.

After presenting the main idea, I discuss a recent proposal to detect a light ALP, predicted in all these models, at the LHCb detector.

The maturity era of lattice quantum field theory simulations brings in ample potential both to explore theories beyond QCD, and to investigate the qualitative workings of QCD by opening up the parameter space. We will focus on studying hadronic interactions and weak decays as a function of the number of colours, with four dynamical quark flavours. This shines light on classic problems such as...

I will discuss the muon anomalies that have been persisting in data in the recent years, namely the muon g-2 and the lepton flavour non-universality in B decays, in the context of strongly coupled theories. I will show that these anomalies are natural in composite theories of the Higgs sector of the Standard Model. In particular, the characteristic scale of 2 TeV emerging from the muon g-2...

With non-perturbative lattice calculations we investigate the finite-temperature confinement transition of a composite dark matter model. We focus on the regime in which this early-universe transition is first order and would generate a stochastic background of gravitational waves. Future searches for stochastic gravitational waves will provide a new way to discover or constrain composite dark...

In this talk I will describe dark sectors made of non-abelian gauge theories with fermions neutral under the Standard Model. This leads to accidentally stable Dark Matter candidates that can be populated minimally through gravitational interactions. In the pure glue scenario DM is the lightest glueball while adding light fermions the lightest pion and baryon are the DM candidates.

Despite the...

Working in sectors of large global charge leads to important simplifications when studying strongly coupled CFTs.

In this talk I will introduce the large-charge expansion via the simple example of the O(2) model and apply it in a number of other situations displaying a richer structure, such as asymptotically safe theories and walking dynamics.

A deformation of pure Yang-Mills theory by a phantom field similar to the

Faddeev-Popov ghost is considered. In this theory an Ersatz-supersymmetry

is identified which results in cancellation of quantum corrections up to two-

loop order. A quadruplet built from two complex fields in the adjoint – the

Faddeev-Popov ghost and the phantom Φ, all with the wrong statistics – balances four gauge...