Moduli spaces of noncommutative instantons: gauging away noncommutative parameters

Details Moduli spaces of noncommutative instantons: gauging away noncommutative parameters Moduli spaces of noncommutative instantons: gauging away noncommutative parameters

2009-09-24

arxiv.org/abs/0909.4402v2

Mathematics

Quantum Algebra

v2: 44 pages; minor changes. To appear in Quart. J. Math

Scientific paper

10.1093/qmath/haq036

Using the theory of noncommutative geometry in a braided monoidal category, we improve upon a previous construction of noncommutative families of instantons of arbitrary charge on the deformed sphere S^4_\theta. We formulate a notion of noncommutative parameter spaces for families of instantons and we explore what it means for such families to be gauge equivalent, as well as showing how to remove gauge parameters using a noncommutative quotient construction. Although the parameter spaces are a priori noncommutative, we show that one may always recover a classical parameter space by making an appropriate choice of gauge transformation.

Affiliated with

Also associated with

No associations

Rating

Moduli spaces of noncommutative instantons: gauging away noncommutative parameters does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Moduli spaces of noncommutative instantons: gauging away noncommutative parameters, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Moduli spaces of noncommutative instantons: gauging away noncommutative parameters will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-425050