Infra-red dualities for supersymmetric quantum field theories and their dimensional reductions can be effectively investigated using supersymmetric localization. With this technique we can compute exactly some protected quantities, like partitions functions e superconformal indices, that don't depend on the gauge coupling and should thus match between the dual theories. Morover, it allowed us...
A large class of 3d SCFTs can be engineered inserting a local SL(2,Z) duality wall into the Type IIB brane system leading to the so called S-fold SCFTs. These theories are intrinsically non Lagrangian, due to the gauging of the global symmetries of a $T(U(N))$ SCFT, thus playing the role of non-conventional matter. In this talk I will discuss the main features of S-fold SCFTs, focusing on...
Numerical Worldline (WL) Monte Carlo (MC) techniques for particle path integrals in flat spacetimes have been deeply developed in order to extract physical information from QFT systems. It is however possible to extend such procedures to the case of (Euclidean) curved spaces, where the proper-time discretization of a bosonic worldline point-particle is treated similarly to a time-slicing...
Following the paper called [Discrete Symmetries in Dimer Diagrams][1], we apply dimer diagram techniques to uncover discrete global symmetries in the fields theories on D3-branes at singularities given by general orbifolds of general toric Calabi-Yau threefold singularities. The discrete symmetries are discrete Heisenberg groups, with two generators A,B with commutation AB=BAC, with C a...
Starting with a general string field theory action which possesses an $A_\infty$ (or $L_\infty$) structure, we derive an effective action for the massless degrees of freedom. We show that the vertices of this effective action again exhibit an $A_\infty$ (or $L_\infty$) structure. Repeating this procedure for the WZW-like heterotic and open superstring field theories formulated in the large...
After the atomic classification of 6d (1,0) SCFTs, one important question is how to compute the elliptic genera and refined BPS invariants of all such theories. In a series of papers, we develop the elliptic blowup equations to answer this question universally. Such equations can be regarded as an elliptic version of Gottsche-Nakajima-Yoshioka's K-theoretic blowup equations. I will focus on...
In recent years the idea of bosonic ultralight CDM (also called fuzzy dark matter, FDM) has been proposed, in one of its prominent versions it states that DM is made of ultralight axion-like particles that form halos as Bose-Einstein condensates. In this theory each axionic particle can develop structures on de Broglie scale thanks to gravitational effects. A prominent soliton, i.e. a state...
We look at the geometric structure of the Higgs branch of supersymmetric gauge theories with 8 supercharges in various dimensions. In particular, the partial ordering between different subspaces of the Higgs branch which can be neatly encoded in a diagram called a Hasse diagram. Recent introduction of magnetic quivers allows a very efficient construction of such diagrams, giving consistent...
My name is Ayoub Mounim. I am a Phd student in Naples and I am currently working on Holographic complexity.
The idea is that this should be a new entry in the holographic dictionary. In the bulk side we define a new gravitational observable given by the value of the on-shell action computed in a bounded subregion of Ads space known as "Wheeler-DeWitt patch". This particular region is bounded...
Machine learning has revolutionized most fields it has penetrated, and the range of its applications is growing rapidly. The last years has seen efforts towards bringing the tools of machine learning to lattice QFT and to string theory. After giving a general idea of what is machine learning, I will present two recent results on lattice QFT: 1) computing the Casimir energy for a 3d QFT with...
We investigate the production of hidden sector Dark Matter (DM) in type IIB LVS scenarios. We study the possibility of Moduli fields playing the role of a portal during the production. By matching the observed DM abundance we make predictions for the masses of different DM types.
Asymptotic symmetries at null infinity do not seem to play a fundamental role in higher dimensions: in constrast with the four-dimensional case, in $D>4$ it is indeed possible and natural to describe radiative solutions to Maxwell's and Einstein's equations without ever enlarging the asymptotic symmetry group beyond the standard global symmetries. Similarly, memory effects do not show an...
In recent progress in second quantization of the RNS string a crucial role is played by line integral Picture Changing Operators (PCO) which avoid the singularities associated with local PCOs.
We show how this approach can be generalized to a "democratic" theory involving vertices with arbitrary picture number. The usual cohomology problem in the Large Hilber Space can then be reformulated...
In this paper, we demonstrate that not only the heat kernel techniques are useful for the computation of the parity anomaly, but also the parity anomaly turns out to be a powerful mean in studying the heat kernel. We show that the gravitational parity anomaly on 4D manifolds with boundaries can be calculated using the general structure of the heat kernel coefficient a5 for mixed boundary...
We show a new method to compute the correlator of an arbitrary number of (excited) spin fields based on a time dependent defect CFT procedure, with the possibility to extend it to (excited) twist fields, both in the Abelian and non Abelian cases.
We consider two-dimensional fermions in the presence of point-like defects in the time-like direction corresponding to spin fields which provide...
We analytically compute subsystem action complexity for a segment in the BTZ black hole background up to the finite term, and we find that it is equal to the sum of a linearly divergent term proportional to the size of the subregion and of a term proportional to the entanglement entropy. This elegant structure does not survive to more complicated geometries: in the case of a two segments...
Higher algebraic structures are ubiquitous in fundamental physics. For instance, $A_\infty$- and $L_\infty$-algebras emerge in the context of string field theory. Importantly, via the Batalin-Vilkovisky formalism, any Lagrangian field theory admits an $L_\infty$-algebra that governs all of its physics including field equations, symmetries, and Noether identities. In this talk, I will explain...
The famous paper [1] by Kawai, Lewellen and Tye (KLT) showed that $n$-closed strings scattering amplitudes at tree-level on the sphere can be calculated and written in terms of $n$-open strings scattering amplitudes on the disk, using well known techniques of complex analysis. Their results can be summarised (schematically) by “$Gravity = (Gauge)^2$”. In the context of Orientifold theories,...
I will explore the interplay between warped throats and some recently proposed quantum gravity conjectures, namely the Weak Gravity Conjecture (WGC) and the Distance Conjecture (DC). Motivated by the properties of systems of fractional branes at singularities, I will argue for a local version of the AdS-WGC, forbidding stable non supersymmetric Anti-de Sitter vacua, to large classes of locally...
