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Operator Gauge Symmetry in QED [PDF]

open access: yesSymmetry, Integrability and Geometry: Methods and Applications, 2006
In this paper, operator gauge transformation, first introduced by Kobe, is applied to Maxwell's equations and continuity equation in QED. The gauge invariance is satisfied after quantization of electromagnetic fields. Inherent nonlinearity in Maxwell's equations is obtained as a direct result due to the nonlinearity of the operator gauge ...
Khademi, S., Nasiri, S.
openaire   +5 more sources

Symbolic Computation of Polynomial Conserved Densities, Generalized Symmetries, and Recursion Operators for Nonlinear Differential-Difference Equations [PDF]

open access: yes, 2004
Algorithms for the symbolic computation of polynomial conserved densities, fluxes, generalized symmetries, and recursion operators for systems of nonlinear differential-difference equations are presented. In the algorithms we use discrete versions of the
Jan A. S   +15 more
core   +1 more source

Symmetries in planning problems [PDF]

open access: yes, 2003
Symmetries arise in planning in a variety of ways. This paper describes the ways that symmetry aises most naturally in planning problems and reviews the approaches that have been applied to exploitation of symmetry in order to reduce search for plans. It
Fox, Maria   +3 more
core   +4 more sources

Generalized charges, part I: Invertible symmetries and higher representations

open access: yesSciPost Physics
$q$-charges describe the possible actions of a generalized symmetry on $q$-dimensional operators. In Part I of this series of papers, we describe $q$-charges for invertible symmetries; while the discussion of $q$-charges for non-invertible symmetries is ...
Lakshya Bhardwaj, Sakura Schäfer-Nameki
doaj   +1 more source

Symmetries of Modules of Differential Operators [PDF]

open access: yesJournal of Nonlinear Mathematical Physics, 2005
Let ${\cal F}\_λ(S^1)$ be the space of tensor densities of degree (or weight) $λ$ on the circle $S^1$. The space ${\cal D}^k\_{λ,μ}(S^1)$ of $k$-th order linear differential operators from ${\cal F}\_λ(S^1)$ to ${\cal F}\_μ(S^1)$ is a natural module over $\mathrm{Diff}(S^1)$, the diffeomorphism group of $S^1$.
Gargoubi, Hichem   +2 more
openaire   +2 more sources

Symmetry operators Mathematica notebook

open access: yes, 2014
This is a collection of files intended for verification of the results in the paper Andersson, L, Bäckdahl, T, Blue, P, "Second order symmetry operators", (2014) arXiv:1402.6252 [gr-qc] to appear in Class.
Backdahl, Thomas
core   +1 more source

Mirror symmetry and loop operators [PDF]

open access: yesJournal of High Energy Physics, 2015
Wilson loops in gauge theories pose a fundamental challenge for dualities. Wilson loops are labeled by a representation of the gauge group and should map under duality to loop operators labeled by the same data, yet generically, dual theories have completely different gauge groups.
Benjamin Assel, Jaume Gomis
openaire   +3 more sources

Residual tail twisting in ascidian larvae is stabilized by asymmetric myofibrils that resist bilateral symmetry restoration

open access: yesFEBS Letters, EarlyView.
Ascidian Ciona larvae initially show strong clockwise tail twisting, which is largely corrected during development. However, a small residual twist remains. This study shows that organized helical myofibrils in tail muscles mechanically stabilize this residual asymmetry, preventing complete restoration of bilateral symmetry and revealing how embryos ...
Yuki S. Kogure   +3 more
wiley   +1 more source

On the action of non-invertible symmetries on local operators in 3+1d

open access: yesJournal of High Energy Physics
Most of the known non-invertible symmetries of quantum field theories in three and four spacetime dimensions act invertibly on local operators. An exception is coset symmetries, which can be constructed from gauging a non-normal subgroup of an invertible
Pavel Putrov, Rajath Radhakrishnan
doaj   +1 more source

Symmetries of modified Dirac operators in supergravity flux backgrounds

open access: yesNuclear Physics B
Modifications of Dirac operators in supergravity flux backgrounds are considered. Modified spin curvature operators and squares of modified Dirac operators corresponding to Schrödinger-Lichnerowicz-like formulas are obtained for different types of flux ...
Ümit Ertem
doaj   +1 more source

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