•Journal•ISSN: 2542-4653
SciPost physics
SciPost.org
About: SciPost physics is an academic journal published by SciPost.org. The journal publishes majorly in the area(s): Computer science & Quantum. It has an ISSN identifier of 2542-4653. It is also open access. Over the lifetime, 224 publications have been published receiving 801 citations. The journal is also known as: SciPost phys. & Sci Post physics.
Topics: Computer science, Quantum, Quantum entanglement, Biology, Chemistry
Papers
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TL;DR: In this paper, a procedure to capture general non-invertible symmetries of quantum field theory in the data of a higher-category was proposed, which captures the local properties of topological defects associated to the higher-categorical symmetry.
Abstract: We sketch a procedure to capture general non-invertible symmetries of
a dd-dimensional
quantum field theory in the data of a higher-category, which captures
the local properties of topological defects associated to the
symmetries. We also discuss fusions of topological defects, which
involve condensations/gaugings of higher-categorical symmetries
localized on the worldvolumes of topological defects. Recently some
fusions of topological defects were discussed in the literature where
the dimension of topological defects seems to jump under fusion. This is
not possible in the standard description of higher-categories. We
explain that the dimension-changing fusions are understood as
higher-morphisms of the higher-category describing the symmetry. We also
discuss how a 0-form sub-symmetry of a higher-categorical symmetry can
be gauged and describe the higher-categorical symmetry of the theory
obtained after gauging. This provides a procedure for constructing
non-invertible higher-categorical symmetries starting from invertible
higher-form or higher-group symmetries and gauging a 0-form symmetry. We
illustrate this procedure by constructing non-invertible 2-categorical
symmetries in 4d gauge theories and non-invertible 3-categorical
symmetries in 5d and 6d theories. We check some of the results obtained
using our approach against the results obtained using a recently
proposed approach based on ’t Hooft anomalies.
50 citations
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TL;DR: Bostdiek et al. as mentioned in this paper describe the outcome of a data challenge conducted as part of the Dark Machines Initiative and the Les Houches 2019 workshop on physics at TeV colliders, which aims at detecting signals of new physics at the LHC using unsupervised machine learning algorithms.
Abstract: We describe the outcome of a data challenge conducted as part of the Dark Machines Initiative and the Les Houches 2019 workshop on Physics at TeV colliders. The challenged aims at detecting signals of new physics at the LHC using unsupervised machine learning algorithms. First, we propose how an anomaly score could be implemented to define model-independent signal regions in LHC searches. We define and describe a large benchmark dataset, consisting of >1 Billion simulated LHC events corresponding to $10~\rm{fb}^{-1}$ of proton-proton collisions at a center-of-mass energy of 13 TeV. We then review a wide range of anomaly detection and density estimation algorithms, developed in the context of the data challenge, and we measure their performance in a set of realistic analysis environments. We draw a number of useful conclusions that will aid the development of unsupervised new physics searches during the third run of the LHC, and provide our benchmark dataset for future studies at https://www.phenoMLdata.org. Code to reproduce the analysis is provided at https://github.com/bostdiek/DarkMachines-UnsupervisedChallenge.
33 citations
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TL;DR: In this article , the authors reconstruct the Lorentzian graviton propagator in asymptotically safe quantum gravity from Euclidean data and prove that the spectral function of the latter necessarily has negative parts similar to, and for the same reasons, as the gluon spectral function.
Abstract: We reconstruct the Lorentzian graviton propagator in asymptotically safe quantum gravity from Euclidean data. The reconstruction is applied to both the dynamical fluctuation graviton and the background graviton propagator. We prove that the spectral function of the latter necessarily has negative parts similar to, and for the same reasons, as the gluon spectral function. In turn, the spectral function of the dynamical graviton is positive. We argue that the latter enters cross sections and other observables in asymptotically safe quantum gravity. Hence, its positivity may hint at the unitarity of asymptotically safe quantum gravity.
30 citations
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TL;DR: In this article , the authors studied complex scalar theories with dipole symmetry and uncovered a no-go theorem that governs the structure of such theories and revealed that a Gaussian theory with linearly realized dipole symmetries must be Carrollian.
Abstract: We study complex scalar theories with dipole symmetry and uncover a no-go theorem that governs the structure of such theories and which, in particular, reveals that a Gaussian theory with linearly realised dipole symmetry must be Carrollian. The gauging of the dipole symmetry via the Noether procedure gives rise to a scalar gauge field and a spatial symmetric tensor gauge field. We construct a worldline theory of mobile objects that couple gauge invariantly to these gauge fields. We systematically develop the canonical theory of a dynamical symmetric tensor gauge field and arrive at scalar charge gauge theories in both Hamiltonian and Lagrangian formalism. We compute the dispersion relation of the modes of this gauge theory, and we point out an analogy with partially massless gravitons. It is then shown that these fractonic theories couple to Aristotelian geometry, which is a non-Lorentzian geometry characterised by the absence of boost symmetries. We generalise previous results by coupling fracton theories to curved space and time. We demonstrate that complex scalar theories with dipole symmetry can be coupled to general Aristotelian geometries as long as the symmetric tensor gauge field remains a background field. The coupling of the scalar charge gauge theory requires a Lagrange multiplier that restricts the Aristotelian geometries.
26 citations
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TL;DR: In this paper , the authors considered toy models of holography arising from 3D Chern-Simons theories and proposed an alternative approach in which, rather than summing over bulk geometries, one gauges a one-form global symmetry of the bulk theory.
Abstract: We consider toy models of holography arising from 3d Chern-Simons
theory. In this context a duality to an ensemble average over 2d CFTs
has been recently proposed. We put forward an alternative approach in
which, rather than summing over bulk geometries, one gauges a one-form
global symmetry of the bulk theory. This accomplishes two tasks: it
ensures that the bulk theory has no global symmetries, as expected for a
theory of quantum gravity, and it makes the partition function on
spacetimes with boundaries coincide with that of a modular-invariant 2d
CFT on the boundary. In particular, on wormhole geometries one finds a
factorized answer for the partition function. In the case of non-Abelian
Chern-Simons theories, the relevant one-form symmetry is non-invertible,
and its “gauging” corresponds to the condensation of a Lagrangian
anyon.
26 citations