WebMay 27, 2009 · The invariant has two terms; one is a count of solutions to the Seiberg-Witten equations on X, and the other is essentially the index of the Dirac operator on a … WebDefinition 2. The massive Seiberg-Witten equation of level n, denoted by mSWn for simplicity, is the following system of equations for a spinc con-nection A and a positive spinor φ: Hn,Aφ = 0, (7) FA + = σ(φ). (8) Remark 3. The massive Seiberg-Witten equation of level 0 or level n with n + index(DA) ≤ 0 is
A compactness theorem for the Seiberg–Witten equation with multiple …
WebJun 5, 2007 · In this paper, we estimate the supremum of Perelman’s λ-functional λM(g) on Riemannian 4-manifold (M, g) by using the Seiberg-Witten equations. Among other things, we prove that, for a compact Kahler-Einstein complex surface (M, J, g0) with negative scalar curvature, (i) if g1 is a Riemannian metric on M with λM(g1) = λM(g0), then \(Vol_{g_1 } \) … WebIn mathematics, and especially gauge theory, Seiberg–Witten invariants are invariants of compact smooth oriented 4-manifolds introduced by Edward Witten (), using the Seiberg–Witten theory studied by Nathan Seiberg and Witten (1994a, 1994b) during their investigations of Seiberg–Witten gauge theory.Seiberg–Witten invariants are similar to … rosenwald building ga southern
Wu-Yang Monopoles and Non-Abelian Seiberg-Witten Equations
In theoretical physics, Seiberg–Witten theory is an $${\displaystyle {\mathcal {N}}=2}$$ 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. Before taking the low … See more In general, effective Lagrangians of supersymmetric gauge theories are largely determined by their holomorphic (really, meromorphic) properties and their behavior near the singularities. In gauge theory See more The special Kähler geometry on the moduli space of vacua in Seiberg–Witten theory can be identified with the geometry of the base of complex completely integrable system. The total phase of this complex completely integrable system can be identified with the … See more • Ginzburg–Landau theory • Donaldson theory See more For this section fix the gauge group as $${\displaystyle \mathrm {SU(2)} }$$. A low-energy vacuum solution is an $${\displaystyle {\mathcal {N}}=2}$$ vector superfield See more The theory exhibits physical phenomena involving and linking magnetic monopoles, confinement, an attained mass gap and strong-weak duality, described in section 5.6 of Seiberg and Witten (1994). The study of these physical phenomena also motivated the theory … See more Using supersymmetric localisation techniques, one can explicitly determine the instanton partition function of $${\displaystyle {\mathcal {N}}=2}$$ super Yang–Mills theory. … See more WebPreface Riemannian, symplectic and complex geometry are often studied by means of solutions to systems of nonlinear di erential equations, such as the equa-tions of geodesics, min WebTHE SEIBERG-WITTEN INVARIANTS AND SYMPLECTIC FORMS Clifford Henry Taubes Recently,SeibergandWitten(see[SW1],[SW2],[W])introducedare-markable new equation which gives differential-topological invariants for ... family of perturbations of the Seiberg-Witten equation. This family is stores that sale tibetan singing bowls