- #1
Emilie.Jung
- 68
- 0
Crossing over the following paragraph:
There are three types of special manifolds which we shall discuss, related to the real scalars
of gauge multiplets in D = 5, the complex scalars of D = 4 gauge multiplets and the
quaternionic scalars of hypermultiplets. Since there are no scalars in the gauge multiplets of D = 6, there is no geometry in that case.
On another occasion, I crossed over the following statement:
That special geometry is determined by scalars of vector multiplets in N=2 Supergravity theories.
I wonder how scalars determine geometry of a manifold. In other words, how would scalars of vector multiplets characterize the geometry (special geometry) for a manifold?
There are three types of special manifolds which we shall discuss, related to the real scalars
of gauge multiplets in D = 5, the complex scalars of D = 4 gauge multiplets and the
quaternionic scalars of hypermultiplets. Since there are no scalars in the gauge multiplets of D = 6, there is no geometry in that case.
On another occasion, I crossed over the following statement:
That special geometry is determined by scalars of vector multiplets in N=2 Supergravity theories.
I wonder how scalars determine geometry of a manifold. In other words, how would scalars of vector multiplets characterize the geometry (special geometry) for a manifold?