Normal forms and gauge symmetry of local dynamics

Geometric phases and hidden local gauge symmetry

The analysis of geometric phases associated with level crossing is reduced to the familiar diagonalization of the Hamiltonian in the second quantized formulation. A hidden local gauge symmetry, which is associated with the arbitrariness of the phase choice of a complete orthonormal basis set, becomes explicit in this formulation (in particular, in the adiabatic approximation) and specifies phys...

Symmetry and integrability in Hamiltonian normal forms

Noncovariant Local Symmetry in Abelian Gauge Theories

We find noncovariant local symmetries in the Abelian gauge theories. The Nöther charges generating these symmetries are nilpotent as BRST charges, and they impose new constraints on the physical states. PACS numbers: 11.15.-q, 11.30.-j, 12.20.-m Typeset using REVTEX 1

Normal Forms, Symmetry, and Linearization of Dynamical Systems

We discuss how the presence of a suitable symmetry can guarantee the per-turbative linearizability of a dynamical system { or a parameter dependent family { via the Poincar e Normal Form approach.

Five-Dimensional Gauge Theories and Local Mirror Symmetry

We study the dynamics of 5-dimensional gauge theory on M4 × S1 by compactifying type II/M theory on degenerate Calabi-Yau manifolds. We use the local mirror symmetry and shall show that the prepotential of the 5-dimensional SU(2) gauge theory without matter is given exactly by that of the type II string theory compactified on the local F2, i.e. Hirzebruch surface F2 lying inside a non-compact C...