Results 41 to 50 of about 3,196 (276)

The conformal bootstrap: Theory, numerical techniques, and applications [PDF]

open access: yesReviews of Modern Physics, 2018
Conformal field theories have been long known to describe the fascinating universal physics of scale invariant critical points. They describe continuous phase transitions in fluids, magnets, and numerous other materials, while at the same time sit at the
David Poland, S. Rychkov, A. Vichi
semanticscholar   +1 more source

Machine learning etudes in conformal field theories [PDF]

open access: yesInt. J. Data Sci. Math. Sci., 2020
We demonstrate that various aspects of Conformal Field Theory are amenable to machine learning. Relatively modest feed-forward neural networks are able to distinguish between scale and conformal invariance of a three-point function and identify a ...
Heng-Yu Chen   +3 more
semanticscholar   +1 more source

Modular differential equations with movable poles and admissible RCFT characters

open access: yesJournal of High Energy Physics, 2023
Studies of modular linear differential equations (MLDE) for the classification of rational CFT characters have been limited to the case where the coefficient functions (in monic form) have no poles, or poles at special points of moduli space.
Arpit Das   +3 more
doaj   +1 more source

Time and dark matter from the conformal symmetries of Euclidean space [PDF]

open access: yes, 2013
Starting with the conformal symmetries of Euclidean space, we construct a manifold where time manifests as a part of the geometry. Though there is no matter present in the geometry studied here, geometric terms analogous to dark energy and dark matter ...
J. Hazboun, J. Wheeler
semanticscholar   +1 more source

Reduced conformal symmetry [PDF]

open access: yesJournal of High Energy Physics, 2020
We construct field theories in 2 + 1 dimensions with multiple conformal symmetries acting on only one of the spatial directions. These can be considered a conformal extension to “subsystem scale invariances”, borrowing the language often used for ...
A. Karch, Amir Raz
semanticscholar   +1 more source

Non-Lorentzian RG flows and supersymmetry

open access: yesJournal of High Energy Physics, 2019
We describe a general process where a non-Lorentzian rescaling of a supersymmetric field theory leads to a scale-invariant fixed point action without Lorentz invariance but where the supersymmetry is preserved or even enhanced. We apply this procedure to
Neil Lambert, Rishi Mouland
doaj   +1 more source

Hecke relations among 2d fermionic RCFTs

open access: yesJournal of High Energy Physics, 2023
Recently, Harvey and Wu proposed a suitable Hecke operator for vector-valued SL(2, ℤ) modular forms to connect the characters of different 2d rational conformal field theories (RCFTs).
Kimyeong Lee, Kaiwen Sun
doaj   +1 more source

Conformal bootstrap in momentum space at finite volume

open access: yesJournal of High Energy Physics, 2023
In this paper, we Fourier transform the Wightman function concerning energy and angular momentum on the S D−1 spatial slice in radial quantization in D = 2, 3 dimensions.
Kanade Nishikawa
doaj   +1 more source

Noether symmetries, energy–momentum tensors, and conformal invariance in classical field theory [PDF]

open access: yes, 2009
In the framework of classical field theory, we first review the Noether theory of symmetries, with simple rederivations of its essential results, with special emphasis given to the Noether identities for gauge theories.
J. M. Pons
semanticscholar   +1 more source

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