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3d dualities from 4d dualities [PDF]
Journal of High Energy Physics, 2013 Many examples of low-energy dualities have been found in supersymmetric gauge theories with four supercharges, both in four and in three space-time dimensions. In these dualities, two theories that are different at high energies have the same low-energy limit.
Shlomo Razamat +2 more
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Algebras and Representation Theory, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mantese F, TONOLO, ALBERTO
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mantese F, TONOLO, ALBERTO
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Combinatorics, Probability and Computing, 2009
We investigate the end spaces of infinite dual graphs. We show that there exists a natural homeomorphism * between the end spaces of a graph and its dual, and that * preserves the ‘end degree’. In particular, * maps thick ends to thick ends. Along the way, we prove that Tutte-connectivity is invariant under taking (infinite) duals.
Henning Bruhn, Maya Jakobine Stein
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We investigate the end spaces of infinite dual graphs. We show that there exists a natural homeomorphism * between the end spaces of a graph and its dual, and that * preserves the ‘end degree’. In particular, * maps thick ends to thick ends. Along the way, we prove that Tutte-connectivity is invariant under taking (infinite) duals.
Henning Bruhn, Maya Jakobine Stein
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Optimization, 1991
We introduce and study dualities △:[Rbar]x → [Rbar]w (i.e., mappings f e [Rbar]x → f △ e [Rbar]w such that for all {fi }ie1 ∈ Rx and all index sets I), which satisfy the additional condition and their duals, which are characterized as those dualities △*:Rx → Rw for which , where ⊥ and ⊺ are two new binary operations on [Rbar], which we introduce here ...
J.E. Martínez-Legaz, I. Singer
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We introduce and study dualities △:[Rbar]x → [Rbar]w (i.e., mappings f e [Rbar]x → f △ e [Rbar]w such that for all {fi }ie1 ∈ Rx and all index sets I), which satisfy the additional condition and their duals, which are characterized as those dualities △*:Rx → Rw for which , where ⊥ and ⊺ are two new binary operations on [Rbar], which we introduce here ...
J.E. Martínez-Legaz, I. Singer
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Applied Categorical Structures, 2002
Two important theories are revisited from the point of view of category theory: MV-algebra theory and D-poset theory, both also with respect to probability theory and its applications.
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Two important theories are revisited from the point of view of category theory: MV-algebra theory and D-poset theory, both also with respect to probability theory and its applications.
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1998
The wide use of duality in economics arises from the theoretical insights that it provides and from its usefulness for empirical work. The economic implications of the optimization problem and the restrictions that have to be imposed on functional relations to enable econometric estimation become more transparent in the dual than in the original ...
Ryuzo Sato, Rama V. Ramachandran
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The wide use of duality in economics arises from the theoretical insights that it provides and from its usefulness for empirical work. The economic implications of the optimization problem and the restrictions that have to be imposed on functional relations to enable econometric estimation become more transparent in the dual than in the original ...
Ryuzo Sato, Rama V. Ramachandran
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Symmetric Duality via Conjugate Duality
ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 1977AbstractSymmetric pairs of programming problems involving square roots of quadratic forms have been studied by a number of authors. By applying the methods of conjugate duality theory to generalizations of these problems we readily obtain extensions of most known results guaranteeing duality of this pair.
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Fehchel duality from LP duality
Mathematische Operationsforschung und Statistik. Series Optimization, 1980Let f closed - grcoer convex functions. We derive Fenchel duality theorem from LP duality by finding polyhedral approximations f iand g ito f iand g ito fand gsuch that (under the conditions of the Fenchel theorem). (i)the problems to find inf {f i–g iand sup correspond to a pair of mutually dual linear programs. (ii)inf{f i–g i}→{f–g i} and sup . (iii)
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Journal of Algebra and Its Applications, 2002
Let R anf T be rings, and let U be a faithful R-T-bimodule. We show that the triple (R, U, T) has a Morita duality if and only if RR and TT are linearly compact, and there is a duality between the semisimple factors R/J(R) and T/J(T) induced by the socle of U. The main tool to prove this result is proving that lattice anti-isomorphisms can be patched
Ánh, Pham Ngoc, Herbera, Dolors
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Let R anf T be rings, and let U be a faithful R-T-bimodule. We show that the triple (R, U, T) has a Morita duality if and only if RR and TT are linearly compact, and there is a duality between the semisimple factors R/J(R) and T/J(T) induced by the socle of U. The main tool to prove this result is proving that lattice anti-isomorphisms can be patched
Ánh, Pham Ngoc, Herbera, Dolors
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