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This manifold is often called the moduli space of vacua, or just the moduli space, for short. The term moduli is also used in string theory to refer to various continuous parameters that label possible string backgrounds : the expectation value of the dilaton field, the parameters (e.g. the radius and complex structure) which govern the shape ...
The moduli space is, therefore, the positive real numbers. Moduli spaces often carry natural geometric and topological structures as well. In the example of circles, for instance, the moduli space is not just an abstract set, but the absolute value of the difference of the radii defines a metric for determining when two circles are "close". The ...
In theoretical physics, Seiberg–Witten theory is an = supersymmetric gauge theory with an exact low-energy effective action (for massless degrees of freedom), of which the kinetic part coincides with the Kähler potential of the moduli space of vacua.
The Sun is 1.4 million kilometers (4.643 light-seconds) wide, about 109 times wider than Earth, or four times the Lunar distance, and contains 99.86% of all Solar System mass. The Sun is a G-type main-sequence star that makes up about 99.86% of the mass of the Solar System. [26]
Moduli theory is a branch of the fields of algebraic geometry, complex manifolds and singularity theory.It aims to construct and study moduli spaces, which are the parameter spaces encoding the continuous variation of geometric structures (for example Riemann surfaces of fixed genus, vector bundles with holomorphic structure, singularities in families).
Solar physics is the branch of astrophysics that specializes in the study of the Sun.It intersects with many disciplines of pure physics and astrophysics.. Because the Sun is uniquely situated for close-range observing (other stars cannot be resolved with anything like the spatial or temporal resolution that the Sun can), there is a split between the related discipline of observational ...
There the moduli space obtains an alternative description as a moduli space of holomorphic vector bundles. This is the Narasimhan–Seshadri theorem, which was proved in this form relating Yang–Mills connections to holomorphic vector bundles by Donaldson. [5] In this setting the moduli space has the structure of a compact Kähler manifold.
The age of the Sun cannot be measured directly; one way to estimate it is from the age of the oldest meteorites, and models of the evolution of the Solar System. [1] The composition in the photosphere of the modern-day Sun, by mass, is 74.9% hydrogen and 23.8% helium. [2]