Fracton topological order, generalized lattice gauge theory, and duality [PDF]
Physical Review B, 2016 9 pages, 4 figures; 8 pages of appendices, 3 ...
Vijay, Sagar, Haah, Jeongwan, Fu, Liang
core +12 more sources
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
semanticscholar +7 more sources
The Approximate Duality Gap Technique: A Unified Theory of First-Order Methods [PDF]
SIAM Journal on Optimization, 2019 We present a general technique for the analysis of first-order methods. The technique relies on the construction of a duality gap for an appropriate approximation of the objective function, where the function approximation improves as the algorithm converges.
Jelena Diakonikolas, Lorenzo Orecchia
semanticscholar +6 more sources
Gravitational radiation from color-kinematics duality [PDF]
Journal of High Energy Physics, 2018 We perturbatively calculate classical radiation in Yang-Mills theory and dilaton gravity, to next-to-leading order in couplings. The radiation is sourced by the scattering of two relativistic massive scalar sources with the dynamical effect taken into ...
Chia-Hsien Shen
doaj +4 more sources
T-duality of D-brane action at order α′ in bosonic string theory [PDF]
Journal of High Energy Physics, 2013 19 pages, Latex file, no figure; v2:minor corrections in section 3, it appears in ...
Ahmad Ghodsi +3 more
semanticscholar +6 more sources
On duality theory for multiobjective semi-infinite fractional optimization model using higher order convexity [PDF]
RAIRO - Operations Research, 2021 In the article, a semi-infinite fractional optimization model having multiple objectives is first formulated. Due to the presence of support functions in each numerator and denominator with constraints, the model so constructed is also non-smooth. Further, three different types of dual modelsvizMond-Weir, Wolfe and Schaible are presented and then usual
Tamanna Yadav, Shiv Kumar Gupta
openaire +3 more sources
Dualities in all-order finite N = 1 gauge theories [PDF]
Nuclear Physics B, 1998 54 pages, latex, 2 ...
Andreas Karch +2 more
openaire +4 more sources
An uplifting discussion of T-duality
Journal of High Energy Physics, 2018 It is well known that string theory has a T-duality symmetry relating circle compactifications of large and small radius. This symmetry plays a foundational role in string theory.
Jeffrey A. Harvey, Gregory W. Moore
doaj +3 more sources
Duality theory forN-th order differential operators under stieltjes boundary ponditions. II: Nonsmooth coefficients and nonsingular measures [PDF]
Annali di Matematica Pura ed Applicata, 1975 Adjoint relations are characterized for an n-th order vector valued differential system with nonsmooth coefficients and with boundary conditions represented by Stieltjes measures of bounded variation when the system is viewed as an operator with domain and range in a space of Lp integrable functions.
Richard C. Brown
openaire +5 more sources
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
openaire +3 more sources