Ever since its discovery the notion of Berry phase has permeated through all branches of
physics. Over the past three decades it was gradually realized that the Berry phase of the …

The topological properties of an object, associated with an integer called the topological
invariant, are global features that cannot change continuously but only through abrupt …

A quantal system in an eigenstate, slowly transported round a circuit C by varying
parameters R in its Hamiltonian Ĥ (R), will acquire a geometrical phase factor exp {iγ (C)} in …

Differential geometry and topology have become essential tools for many theoretical
physicists. In particular, they are indispensable in theoretical studies of condensed matter …

Presenting the physics of the most challenging problems in condensed matter using the
conceptual framework of quantum field theory, this book is of great interest to physicists in …

Composites formed from charged particles and vortices in (2+ 1)-dimensional models, or flux
tubes in three-dimensional models, can have any (fractional) angular momentum. The …

Advances in mathematics and physics have often occurred together. The development of
Newton's theory of mechanics and the simultaneous development of the techniques of …

In this paper we use the AdS/CFT correspondence to refine and then establish a set of old
conjectures about symmetries in quantum gravity. We first show that any global symmetry …

Quantum field theory describes basic physical phenomena over an extremely wide range of
length or energy scales. Quantum fields exist in space and time, which can be approximated …

Whenever a quantum system undergoes a cyclic evolution governed by a slow change of
parameters, it acquires a phase factor: the geometric phase. Its most common formulations …