Gauge symmetry as symmetry of matrix coordinates

Mirror Symmetry as a Gauge Symmetry

It is shown that in string theory mirror duality is a gauge symmetry (a Weyl transformation) in the moduli space of N = 2 backgrounds on group manifolds, and we conjecture on the possible generalization to other backgrounds, such as CalabiYau manifolds. e-mail address: [email protected] e-mail address: [email protected]

Symmetry-seeking spacetime coordinates

One of the fundamental problems in numerically constructing spacetimes without symmetries (3D numerical relativity) is the choice of suitable coordinates. The task is not just to find a good coordinate system for a known spacetime, but the spacetime is not actually known when the calculation begins, so that one has to construct the coordinate system along with the spacetime. In principle, once ...

Magnetic Charge as a “Hidden” Gauge Symmetry

A theory containing both electric and magnetic charges is formulated using two vector potentials, A and C. This has the aesthetic advantage of treating electric and magnetic charge both as gauge symmetries, but it has the experimental disadvantage of introducing a second massless gauge boson (the “magnetic” photon) which is not observed. This problem is dealt with by using the Higgs mechanism t...

Symmetry of Fullerene C_60

Noncommutativity vs gauge symmetry

In many aspects the most complicated foliated manifolds are those with nonvanishing Godbillon-Vey class. We argue that they probably do not appear in physics and that is due to gauge symmetry which prevents the foliation from becoming “too wild”; that means that the foliation does not develop resilient leaves which, at least in codim-1, by Duminy’s theorem are responsible for the nontriviality ...