Results 11 to 20 of about 1,244,854 (330)
Cauchy-Lipschitz theory for fractional multi-order dynamics: State-transition matrices, Duhamel formulas and duality theorems [PDF]
Differential and Integral Equations, 2018 The aim of the present paper is to contribute to the development of the study of Cauchy problems involving Riemann-Liouville and Caputo fractional derivatives. Firstly existence-uniqueness results for solutions of non-linear Cauchy problems with vector fractional multi-order are addressed. A qualitative result about the behavior of local but non-global
Loïc Bourdin
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Duality-invariant extensions of Einstein-Maxwell theory [PDF]
Journal of High Energy Physics, 2021 We investigate higher-derivative extensions of Einstein-Maxwell theory that are invariant under electromagnetic duality rotations, allowing for non-minimal couplings between gravity and the gauge field. Working in a derivative expansion of the action, we
Pablo A. Cano, Ángel Murcia
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Off-shell color-kinematics duality for Chern-Simons [PDF]
Journal of High Energy Physics, 2022 Many gauge theories possess a hidden duality between color and kinematics in their on-shell scattering amplitudes. An open problem is to formulate an off-shell realization of the duality, thus manifesting a kinematic algebra. We show that 3D Chern-Simons
Maor Ben-Shahar, Henrik Johansson
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Super-duality and necessary optimality conditions of order "infinity" in optimal control theory [PDF]
We systematically introduce an approach to the analysis and (numerical) solution of a broad class of nonlinear unconstrained optimal control problems, involving ordinary and distributed systems. Our approach relies on exact representations of the increments of the objective functional, drawing inspiration from the classical Weierstrass formula in ...
Pogodaev, Nikolay, Staritsyn, Maxim
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Discrete symmetries in Heterotic/F-theory duality and mirror symmetry [PDF]
Journal of High Energy Physics, 2017 We study aspects of Heterotic/F-theory duality for compactifications with Abelian discrete gauge symmetries. We consider F-theory compactifications on genus-one fibered Calabi-Yau manifolds with n-sections, associated with the Tate-Shafarevich group ℤ n $
Mirjam Cvetič +2 more
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Gravity from entanglement and RG flow in a top-down approach
Journal of High Energy Physics, 2018 The duality between a d-dimensional conformal field theory with relevant deformation and a gravity theory on an asymptotically AdS d+1 geometry, has become a suitable tool in the investigation of the emergence of gravity from quantum entanglement in ...
O-Kab Kwon +3 more
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Action growth of dyonic black holes and electromagnetic duality [PDF]
Journal of High Energy Physics, 2019 Electromagnetic duality of Maxwell theory is a symmetry of equations but not of the action. The usual application of the “complexity = action” conjecture would thus lose this duality. It was recently proposed in arXivid:1901.00014 that the duality can be
Hai-Shan Liu, H. Lü
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Scattering amplitudes — Wilson loops duality for the first non-planar correction [PDF]
Journal of High Energy Physics, 2018 We study the first non-planar correction to gluon scattering amplitudes in N=4 $$ \mathcal{N}=4 $$ SYM theory. The correction takes the form of a double trace partial amplitude and is suppressed by one power of 1/N with respect to the leading single ...
Roy Ben-Israel +2 more
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Second order higher-derivative corrections in Double Field Theory [PDF]
Journal of High Energy Physics, 2017 HSZ Double Field Theory is a higher-derivative theory of gravity with exact and manifest T-duality symmetry. The first order corrections in the massless sector were shown to be governed solely by Chern-Simons deformations of the three-form field strength.
Eric Lescano, Diego Marqués
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Duality theory and propagation rules for higher order nets
Discrete Mathematics, 2011 The higher order nets and sequences are used in quasi-Monte Carlo rules for accurately evaluating high dimensional integrals of smooth functions. This paper introduces a duality theory for higher order nets whose construction is not necessarily based on linear algebra over finite fields.
Baldeaux, Jan +2 more
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