Harold Erbin
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View article: Preparing spin-squeezed states in Rydberg atom arrays via quantum optimal control
Preparing spin-squeezed states in Rydberg atom arrays via quantum optimal control Open
International audience
View article: Environmental sustainability in basic research. A perspective from HECAP+
Environmental sustainability in basic research. A perspective from HECAP+ Open
The climate crisis and the degradation of the world's ecosystems require humanity to take immediate action. The international scientific community has a responsibility to limit the negative environmental impacts of basic research. The HECA…
View article: Open string stub as an auxiliary string field
Open string stub as an auxiliary string field Open
Witten’s open string field theory with a generalized version of stubs is reformulated as a cubic string field theory using an auxiliary string field. The gauge symmetries and equations of motion as well as the associative algebra of the re…
View article: Gravitational action for a massive Majorana fermion in 2d quantum gravity
Gravitational action for a massive Majorana fermion in 2d quantum gravity Open
A bstract We compute the gravitational action of a free massive Majorana fermion coupled to two-dimensional gravity on compact Riemann surfaces of arbitrary genus. The structure is similar to the case of the massive scalar. The small-mass …
View article: SL(2, $\mathbb C$) quartic vertex for closed string field theory
SL(2, $\mathbb C$) quartic vertex for closed string field theory Open
We construct the $\mathrm{SL}(2, \mathbb C)$ quartic vertex with a generic stub parameter for the bosonic closed string field theory by characterizing the vertex region in the moduli space of 4-punctured sphere, and providing the necessary…
View article: Functional renormalization group for signal detection and stochastic ergodicity breaking
Functional renormalization group for signal detection and stochastic ergodicity breaking Open
Signal detection is one of the main challenges of data science. As it often happens in data analysis, the signal in the data may be corrupted by noise. There is a wide range of techniques aimed at extracting the relevant degrees of freedom…
View article: Gravitational action for a massive Majorana fermion in 2d quantum gravity
Gravitational action for a massive Majorana fermion in 2d quantum gravity Open
We compute the gravitational action of a free massive Majorana fermion coupled to two-dimensional gravity on compact Riemann surfaces of arbitrary genus. The structure is similar to the case of the massive scalar. The small-mass expansion …
View article: Open string stub as an auxiliary string field
Open string stub as an auxiliary string field Open
Witten's open string field theory with a generalized version of stubs is reformulated as a cubic string field theory using an auxiliary string field. The gauge symmetries and equations of motion as well as the associative algebra of the re…
View article: Deep Learning: Complete Intersection Calabi–Yau Manifolds
Deep Learning: Complete Intersection Calabi–Yau Manifolds Open
We review advancements in deep learning techniques for complete intersection\nCalabi-Yau (CICY) 3- and 4-folds, with the aim of understanding better how to\nhandle algebraic topological data with machine learning. We first discuss\nmethodo…
View article: Closed string theory without level-matching at the free level
Closed string theory without level-matching at the free level Open
A bstract In its traditional form, the string field in closed string field theory is constrained by the level-matching condition, which is imposed beside the action. By analogy with the similar problem for the Ramond sector, it was underst…
View article: String Field Theory -- A Modern Introduction
String Field Theory -- A Modern Introduction Open
This book provides an introduction to string field theory (SFT). String theory is usually formulated in the worldsheet formalism, which describes a single string (first-quantization). While this approach is intuitive and could be pushed fa…
View article: Renormalization in the neural network-quantum field theory correspondence
Renormalization in the neural network-quantum field theory correspondence Open
A statistical ensemble of neural networks can be described in terms of a quantum field theory (NN-QFT correspondence). The infinite-width limit is mapped to a free field theory, while finite N corrections are mapped to interactions. After …
View article: Characterizing 4-string contact interaction using machine learning
Characterizing 4-string contact interaction using machine learning Open
The geometry of 4-string contact interaction of closed string field theory is characterized using machine learning. We obtain Strebel quadratic differentials on 4-punctured spheres as a neural network by performing unsupervised learning wi…
View article: Closed string theory without level-matching at the free level
Closed string theory without level-matching at the free level Open
In its traditional form, the string field in closed string field theory is constrained by the level-matching condition, which is imposed beside the action. By analogy with the similar problem for the Ramond sector, it was understood by Oka…
View article: Non-perturbative renormalization for the neural network-QFT correspondence
Non-perturbative renormalization for the neural network-QFT correspondence Open
In a recent work (Halverson et al 2021 Mach. Learn.: Sci. Technol. 2 035002), Halverson, Maiti and Stoner proposed a description of neural networks (NNs) in terms of a Wilsonian effective field theory. The infinite-width limit is mapped to…
View article: Report on scipost_202110_00024v1
Report on scipost_202110_00024v1 Open
We explicitly construct the quantum field theory corresponding to a general class of deep neural networks encompassing both recurrent and feedforward architectures.We first consider the mean-field theory (MFT) obtained as the leading saddl…
View article: Deep multi-task mining Calabi–Yau four-folds
Deep multi-task mining Calabi–Yau four-folds Open
We continue earlier efforts in computing the dimensions of tangent space cohomologies of Calabi–Yau manifolds using deep learning. In this paper, we consider the dataset of all Calabi–Yau four-folds constructed as complete intersections in…
View article: Initial value problem in string-inspired nonlocal field theory
Initial value problem in string-inspired nonlocal field theory Open
We consider a nonlocal scalar field theory inspired by the tachyon action in open string field theory. The Lorentz-covariant action is characterized by a parameter $ξ^2$ that quantifies the amount of nonlocality. Restricting to purely time…
View article: Effective gravitational action for 2D massive fermions
Effective gravitational action for 2D massive fermions Open
We work out the effective gravitational action for 2D massive Euclidean fermions in a small mass expansion. Besides the leading Liouville action, the order $m^2$ gravitational action contains a piece characteristic of the Mabuchi action, m…
View article: Machine learning for complete intersection Calabi-Yau manifolds: A methodological study
Machine learning for complete intersection Calabi-Yau manifolds: A methodological study Open
International audience
View article: Inception neural network for complete intersection Calabi–Yau 3-folds
Inception neural network for complete intersection Calabi–Yau 3-folds Open
We introduce a neural network inspired by Google’s Inception model to compute the Hodge number h 1,1 of complete intersection Calabi–Yau (CICY) 3-folds. This architecture improves largely the accuracy of the predictions over existing resul…
View article: Topological defects and confinement with machine learning: The case of monopoles in compact electrodynamics
Topological defects and confinement with machine learning: The case of monopoles in compact electrodynamics Open
We investigate the advantages of machine learning techniques to recognize the\ndynamics of topological objects in quantum field theories. We consider the\ncompact U(1) gauge theory in three spacetime dimensions as the simplest example\nof …
View article: Universality of tunneling particles in Hawking radiation
Universality of tunneling particles in Hawking radiation Open
The complex path (or Hamilton-Jacobi) approach to Hawking radiation corresponds to the intuitive picture of particles tunnelling through the horizon and forming a thermal radiation. This method computes the tunnelling rate of a given parti…