Related papers: Aspects of Dualities

We describe the duality between different geometries which arises by considering the classical and quantum harmonic map problem. To appear in ``Essays on Mirror Manifolds II''.

In this work we develop some categorical aspects of the double structure of a module.

There are several notions of duality between lines and points. In this note, it is shown that all these can be studied in a unified way. Most interesting properties are independent of specific choices. It is also shown that either dual…

Various aspects of Supersymmetry in 1-dimensional systems are analyzed.

Quark-hadron duality and its potential applications are discussed. We focus on theoretical efforts to model duality.

We discuss some aspects of the theory of subelliptic estimates.

I give a short review of the theory of twisted symmetries of differential equations, emphasizing geometrical aspects. Some open problems are also mentioned.

Properties and examples of the dual transformation between two planes, which is such that the coordinates of a point in the original plane give the coefficients of a line in the dual plane and the coefficients of a line in the original…

Some symmetry problems are formulated and solved. New simple proofs are given for the earlier studied symmetry problems.

Duality symmetries in supergravity theories, together with their implications for string theory, are reviewed.

For more than half a century, dualities have been at the heart of modern physics. From quantum mechanics to statistical mechanics, condensed matter physics, quantum field theory and quantum gravity, dualities have proven useful in solving…

There are three kinds of multiple polylogarithms; complex, finite and symmetric. The dualities for the complex and finite cases are known. In this paper, we present proofs of them via iterated integrals and its symmetric counterpart by a…

The symmetries of a spinning particle in the field of a self-dual monopole are studied from the viewpoint of supersymmetric quantum mechanics.

Some aspects of the multidimensional soliton geometry are considered.

In this paper the double-sided Talor's approximations are used to obtain generalisations and improvements of some trigonometric inequalities.

These lectures are a brief introduction to supersymmetry.

We descry and discuss a duality in 2-dimensional dilaton gravity.

A review of recent developments in the analyses of supersymmetric dark matter is given.

In this paper we study different kinds of symmetries related to the domino tilings of chessboards.

Using the recently developed soldering formalism we highlight certain features of quantum mechanical models. The complete correspondence between these models and self dual field theoretical models in odd dimensions is established. The…