By breaking dual conformal invariance, we transform cluster-algebraic predic-
tions for the alphabet of 9-point amplitudes in N = 4 super Yang-Mills theory to analogous
predictions for 5- and 6-point processes in QCD. We start by obtaining, for the first time,
candidate letters for 6-point processes with one massive external leg, and confirm that
they essentially contain those of all...
The Kaluza-Klein (KK) reduction of pure $D=4$ GR along two commuting Killing isometries is well known to provide an effective $D=2$ integrable field theory. This is profoundly connected to the existence of hidden, infinite dimensional symmetries arising upon toroidal KK reductions of gravity to $D=2$. In this talk, I will show how to exploit the power of such symmetries in order to prove the...
In supersymmetric theories, an object of great interest is the moduli space of vacua, parameterised by the VEVs for the scalars in the various supermultiplets and endowed with a strict geometric structure, which factorises into the so-called maximal branches and encodes the generalised Higgs mechanism.
In this talk, I will explore the moduli space of 3d N=3 and N=4 Chern–Simons-matter...
Considering a CFT dual to the quartic theory in AdS, we used the analytic bootstrap techniques, to find a piece of the anomalous dimensions of double trace operators corresponding to bubble diagrams in AdS at every loop order solely reconstructed from the tree-level data. We then illustrated a relation between these pieces and the iterated unitarity cuts of AdS amplitudes. The work is in progress.
Feynman integrals whose associated geometries extend beyond the Riemann sphere, such as elliptic and Calabi–Yau, are increasingly relevant in modern precision calculations. They arise not only in next-to-next-to-leading order (NNLO) corrections to collider cross-sections but also in the post-Minkowskian expansion of gravitational wave scattering. A powerful approach to compute such integrals...
We investigate non-invertible symmetries in non-linear sigma models in terms of the self-dual momentum lattice. We first recast the well-known T-duality of the $c=1$ compact boson, which results in the exchange of D0- and D1-branes, in lattice terms. We then move to the toroidal case, which is characterised by a richer duality group and a larger spectrum of Dp-branes, analysing how the...
We present a high-precision numerical approach for evaluating multivariable hypergeometric functions with parameters linearly dependent on the dimensional regularization variable ε. The method is based on constructing analytic continuations via Frobenius-type generalized series solutions of associated Pfaffian systems. Implemented in the PrecisionLauricella package, this technique achieves...
I will discuss Gukov-Witten surface defects in N=4 Super Yang-Mills from the point of view of the analytic conformal bootstrap. These defects are defined by the singular behaviour of the gauge and scalar fields along a surface. After reviewing a recently derived conformal dispersion relation, I will show how to bootstrap the two-point functions of bulk operators in presence of a surface defect.
I will discuss the geometric integrand expansion of the pentagonal Wilson loop with a Lagrangian insertion in maximally supersymmetric Yang-Mills theory. I will focus on the integrand corresponding to an all-loop class of ladder-type geometries, and then investigate the known two-loop observable from this geometric viewpoint. To do so, we evaluate analytically the new two-loop integrals...
String theory provides us with UV-finite amplitudes of quantum gravity at every order in perturbation theory. However, explicit computations become quickly very complicated, to the point that their evaluation have been possible only in the low- and high- energy expansion. Essentially no results are known at intermediate values of $\alpha’$.
In addition to that, the starting set up of this...
Schrödinger-type eigenvalue problems are ubiquitous in theoretical physics, with quantum-mechanical applications typically confined to cases for which the eigenfunctions are required to be normalizable on the real axis. However, seeking the spectrum of resonant states for metastable potentials or comprehending $\mathcal{PT}$-symmetric scenarios requires the broader study of eigenvalue problems...
