We study analytic aspects of U(n) gauge theory over a toric noncommutative manifold. We analyse moduli spaces of solutions to the self- dual Yang–Mills equations on U(2) vector bundles over four-manifolds, showing that each such moduli space is either empty or a smooth Hausdorff manifold whose dimension we explicitly compute. In the spe- cial case of the four-sphere Sθ4 we find that the moduli space of U(2) instantons with fixed second Chern number k is a smooth manifold of dimension 8k − 3.
Titolo: | Moduli spaces of instantons on toric noncommutative manifolds | |
Autori: | ||
Data di pubblicazione: | 2013 | |
Rivista: | ||
Abstract: | We study analytic aspects of U(n) gauge theory over a toric noncommutative manifold. We analyse moduli spaces of solutions to the self- dual Yang–Mills equations on U(2) vector bundles over four-manifolds, showing that each such moduli space is either empty or a smooth Hausdorff manifold whose dimension we explicitly compute. In the spe- cial case of the four-sphere Sθ4 we find that the moduli space of U(2) instantons with fixed second Chern number k is a smooth manifold of dimension 8k − 3. | |
Handle: | http://hdl.handle.net/11368/2776924 | |
Appare nelle tipologie: | 1.1 Articolo in Rivista |
File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.