Search results for " duality"

2D simulation of wave-particle coupling inspired by walking droplets

2018

In recent years, a fluid dynamics phenomenon has been observed that shows interesting analogies with several quantum mechanical ones. Under specific experimental conditions, a liquid droplet released on a vibrating liquid persists in jumping, forming a localized wave-particle, and its behaviour resembles that of a de Broglie wave-particle. In this paper we discuss a simplified model for this phenomenon and the results of numerical fluid dynamics simulations implemented on the basis of the model. In spite of the relevant simplifying assumptions of our approach, we observe that a wave-droplet coupling is obtained and the droplet travels at nearly constant velocity, as it is observed in experi…

N-string vertices in string field theory.

1993

We give the general form of the vertex corresponding to the interaction of an arbitrary number of strings. The technique employed relies on the ``comma" representation of String Field Theory where string fields and interactions are represented as matrices and operations between them such as multiplication and trace. The general formulation presented here shows that the interaction vertex of N strings, for any arbitrary N, is given as a function of particular combinations of matrices corresponding to the change of representation between the full string and the half string degrees of freedom.

Fenchel type theorems for submanifolds of S n

1996

A DUALITY APPROACH TO THE FRACTIONAL LAPLACIAN WITH MEASURE DATA

2011

We describe a duality method to prove both existence and uniqueness of solutions to nonlocal problems like $$(-\Delta)^s v = \mu \quad \text{in } \mathbb{R}^N,$$ ¶ with vanishing conditions at infinity. Here $\mu$ is a bounded Radon measure whose support is compactly contained in $\mathbb{R}^N$, $N\geq2$, and $-(\Delta)^s$ is the fractional Laplace operator of order $s\in (1/2,1)$.

Homological Projective Duality for Determinantal Varieties

2016

In this paper we prove Homological Projective Duality for crepant categorical resolutions of several classes of linear determinantal varieties. By this we mean varieties that are cut out by the minors of a given rank of a n x m matrix of linear forms on a given projective space. As applications, we obtain pairs of derived-equivalent Calabi-Yau manifolds, and address a question by A. Bondal asking whether the derived category of any smooth projective variety can be fully faithfully embedded in the derived category of a smooth Fano variety. Moreover we discuss the relation between rationality and categorical representability in codimension two for determinantal varieties.

The Radon-Nikodym Theorem. Duality

1998

The band in M( ℜ) generated by a particular real measure μ can be characterized in various ways.

Entanglement robustness via spatial deformation of identical particle wave functions

2021

We address the problem of entanglement protection against surrounding noise by a procedure suitably exploiting spatial indistinguishability of identical subsystems. To this purpose, we take two initially separated and entangled identical qubits interacting with two independent noisy environments. Three typical models of environments are considered: amplitude damping channel, phase damping channel and depolarizing channel. After the interaction, we deform the wave functions of the two qubits to make them spatially overlap before performing spatially localized operations and classical communication (sLOCC) and eventually computing the entanglement of the resulting state. This way, we show tha…

Monopoles and dualities in 3d N=2 quivers

2021

Seiberg-like dualities in 2+1d quiver gauge theories with 4 supercharges are investigated. We consider quivers made of various combinations of classical gauge groups U(N), Sp(N), SO(N) and SU(N). Our main focus is the mapping of the supersymmetric monopole operators across the dual theories. There is a simple general rule that encodes the mapping of the monopoles upon dualizing a single node. This rule dictates the mapping of all the monopoles which are not dressed by baryonic operators. We also study more general situations involving baryons and baryon-monopoles, focussing on three examples: SU−Sp, SO−SO and SO−Sp quivers.

Dimension reduction for $-Delta_1$

2012

A 3D-2D dimension reduction for $-\Delta_1$ is obtained. A power law approximation from $-\Delta_p$ as $p \to 1$ in terms of $\Gamma$- convergence, duality and asymptotics for least gradient functions has also been provided.

- SHADOW PRICES AND DISTANCE FUNCTIONS: AN ANALYSIS FOR FIRMS OF THE SPANISH CERAMIC PAVEMENTS INDUSTRY.

1999

This paper deals with the calculation of shadow prices for two industrial wastes generated on their production processes by a sample of eighteen firms belonging to the Spanish ceramic pavements industry. These prices are used to construct a corrected index of productivity which allows for considering wastes going with the production of marketable goods. It is followed the ethodologicalapproach first proposed by Färe, Grosskopf, Lovell y Yaisawarng (1993), which establishes a duality between distance and revenue functions. The shadow prices obtained for watery muds and used oils allow to measure in terms of a loss of marketable output the cost of achieving a marginal reduction in the product…