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{M}}^{\pm }} . The moduli space of ASD connections, or instantons, was most intensively studied by Donaldson in the case where G = SU ⁡ ( 2 ) {\displaystyle...

the metric of the moduli space of vacua, for theories with SU(2) gauge group. More generally, consider the example with gauge group SU(n). The classical...

the moduli of curves of genus g {\displaystyle g} and is denoted as M g {\displaystyle {\mathfrak {M}}_{g}} . There are few ways to show this moduli has...

bundle arises as the solution space to Hitchin's equations for a principal SU(2) bundle. The theory on Riemann surfaces was generalized by Carlos Simpson...

hadrons, and the moduli space of vacua of the theory may be parametrized by their vacuum expectation values. On most of the moduli space the Higgs mechanism...

proper subgroup of SU(2), instead of being isomorphic to SU(2). However, the Enriques surface subset do not conform entirely to the SU(2) subgroup in the...

"Multi-calorons and their moduli". arXiv:hep-th/0511125. Shnir (2006). "Self-dual and non-self dual axially symmetric caloron solutions in SU(2) Yang-Mills theory"...

In the mathematics of moduli theory, given an algebraic, reductive, Lie group G {\displaystyle G} and a finitely generated group π {\displaystyle \pi }...

unitary group SU ⁡ ( 2 ) {\displaystyle \operatorname {SU} (2)} and second Chern class c 2 ( P ) = 1 {\displaystyle c_{2}(P)=1} , then the moduli space M P...

the Higgs bundle moduli space, and to the moduli space of holomorphic connections. Using the metric structure on the Higgs bundle moduli space afforded...

super potential. In particular, in the N=4 case with SU(2) gauge symmetry, the metric on the moduli space was found by Nathan Seiberg and Edward Witten...

has defined the integer invariant of smooth 4-manifolds by using moduli spaces of SU(2)-instantons. These invariants are polynomials on the second homology...

0 {\displaystyle \mu _{r}=\mu _{c}=0} , an anti-self-dual instanton in a SU(N) gauge theory with instanton number k can be constructed, All anti-self-dual...

Jonathan; Ramras, Daniel A. (2017). "The prequantum line bundle on the moduli space of flat SU(N) connections on a Riemann surface and the homotopy of the large...

Calabi–Yau manifold in 4 (real) dimensions is a hyperkähler manifold, because SU(2) is isomorphic to Sp(1).) As was discovered by Beauville, the Hilbert scheme...

proof utilizes the moduli space M P {\displaystyle {\mathcal {M}}_{P}} of solutions to the anti-self-duality equations on a principal SU ⁡ ( 2 ) {\displaystyle...

In SU(2) gauge theory in 4 dimensional Minkowski space, a gauge transformation corresponds to a choice of an element of the special unitary group SU(2)...

fractional transformations. The name "modular group" comes from the relation to moduli spaces, and not from modular arithmetic. The modular group Γ is the group...

{\text{SO}}(8)} gauge group which does not have SU ( 3 ) × SU ( 2 ) × U ( 1 ) {\displaystyle {\text{SU}}(3)\times {\text{SU}}(2)\times {\text{U}}(1)} as a subgroup...

varieties over the complex numbers, and success has been found in constructing moduli spaces of Fano varieties and proving the existence of Kähler–Einstein metrics...