Formalism
Definition
Spacetime configurations
Properties
Spacetimes
black hole spacetimes | vanishing angular momentum | positive angular momentum |
---|---|---|
vanishing charge | Schwarzschild spacetime | Kerr spacetime |
positive charge | Reissner-Nordstrom spacetime | Kerr-Newman spacetime |
Quantum theory
A kind of spacetime. For the moment see at KK-monopole for more.
graphics grabbed from Acharya-Gukov 04
Consider the left invariant 1-forms on the 3-sphere SU(2), which in terms of Euler angles are
Then the pseudo-Riemannian metric defining the Taub-NUT geometry is
geometry transverse to KK-monopoles | Riemannian metric | remarks |
---|---|---|
Taub-NUT space: geometry transverse to distinct KK-monopoles at | (e.g. Sen 97b, Sect. 2) | |
ALE space Taub-NUT close to close-by KK-monopoles e.g. close to : | e.g. via Euler angles: (e.g. Asano 00, Sect. 2) | |
-type ADE singularity: ALE space in the limit where all KK-monopoles coincide at | (e.g. Asano 00, Sect. 3) |
from M-branes to F-branes: superstrings, D-branes and NS5-branes
(e.g. Johnson 97, Blumenhagen 10)
Wikipedia, Taub-NUT space
Wikipedia, Gravitational instanton
Luis Ibáñez, Angel Uranga, section 6.3.3 of String Theory and Particle Physics – An Introduction to String Phenomenology, Cambridge University Press 2012
Discussion in the context of M-theory on G₂-manifolds and gauge enhancement
Last revised on July 18, 2024 at 11:24:56. See the history of this page for a list of all contributions to it.