Concept

Extra dimensions

Related publications (87)

Additive and geometric transversality of fractal sets in the integers

By juxtaposing ideas from fractal geometry and dynamical systems, Furstenberg proposed a series of conjectures in the late 1960's that explore the relationship between digit expansions with respect to multiplicatively independent bases. In this work, we in ...

2024

Universality of loop corrected soft theorems in 4d

Biswajit Sahoo

In [1], logarithmic correction to subleading soft photon and soft graviton theorems have been derived in four spacetime dimensions from the ratio of IR-finite S-matrices. This has been achieved after factoring out IR-divergent components from the tradition ...

New York2023

Aperture-Controlled Fabrication of All-Dielectric Structural Color Pixels

Olivier Martin, Philippe Renaud, Arnaud Bertsch, Daniel Migliozzi, Evgenii Glushkov, Clémentine Sophie Sarah Lipp, Hsiang-Chu Wang, Audrey Zoé Marie Jacquillat

While interference colors have been known for a longtime, conventionalcolor filters have large spatial dimensions and cannot be used tocreate compact pixelized color pictures. Here we report a simple yetelegant interference-based method of creating microsc ...

AMER CHEMICAL SOC2023

Where is M-theory in the space of scattering amplitudes?

Andrea Guerrieri

We use the S-matrix bootstrap to carve out the space of unitary, analytic, crossing symmetric and supersymmetric graviton scattering amplitudes in nine, ten and eleven dimensions. We extend and improve the numerical methods of our previous work in ten dime ...

SPRINGER2023

Scale invariant Einstein-Cartan gravity and flat space conformal symmetry

Georgios Karananas, Sebastian Zell

We find the conditions under which scale-invariant Einstein-Cartan gravity with scalar matter fields leads to an approximate conformal invariance of the flat space particle theory up to energies of the order of the Planck mass. In the minimal setup, these ...

New York2023

Bounds on scattering of neutral Goldstones

Andrea Guerrieri, Denis Karateev, Kelian Philippe Häring

We study the space of

2\to 2

scattering amplitudes of neutral Goldstone bosons in four space-time dimensions. We establish universal bounds on the first two non-universal Wilson coefficients of the low energy Effective Field Theory (EFT) for such particl ...

2023

High-dimensional Data Cubes

Christoph Koch, Sachin Basil John

This paper introduces an approach to supporting high-dimensional data cubes at interactive query speeds and moderate storage cost. The approach is based on binary(-domain) data cubes that are judiciously partially materialized; the missing information can ...

2022

Perturbed Fourier uniqueness and interpolation results in higher dimensions

Joao Pedro Gonçalves Ramos, Martin Peter Stoller

We obtain new Fourier interpolation and uniqueness results in all dimensions, extending methods and results by the first author and M. Sousa [11] and the second author [12]. We show that the only Schwartz function which, together with its Fourier transform ...

ACADEMIC PRESS INC ELSEVIER SCIENCE2022

Matrix product states with backflow correlations

Giuseppe Carleo

By taking inspiration from the backflow transformation for correlated systems, we introduce a tensor network Ansatz which extends the well-established matrix product state representation of a quantum many-body wave function. This structure provides enough ...

AMER PHYSICAL SOC2022

High-dimensional Data Cubes

Christoph Koch, Sachin Basil John

ASSOC COMPUTING MACHINERY2022

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Bounds on scattering of neutral Goldstones

Andrea Guerrieri, Denis Karateev, Kelian Philippe Häring

We study the space of

2\to 2

2023