Exotic Instantons in Eight Dimensions
نویسندگان
چکیده
In this paper, we study the (anti-)self-duality equations $\ast F\wedge F=\pm F$ in eight-dimensional Euclidean space. Using properties of Clifford algebra $Cl_{0,8}(\mathbb{R})$, find a new solution to these equations.
منابع مشابه
Instantons and the monopole-like equations in eight dimensions
We search for an abelian description of the Yang-Mills instantons on certain eight dimensioanl manifolds with the special holonomies Spin(7) and SU(4). By mimicing the Seiberg-Witten theory in four dimensions, we propose a set of monopole-like equations governing the 8-dimensional U(1) connections and spinors, which are supposed to be the dual theory of the nonabelian instantons. We also give a...
متن کاملMulti-instantons in seven dimensions
We consider the self-dual Yang-Mills equations in seven dimensions. Modifying the t’Hooft construction of instantons in d = 4, we find N -instanton 7d solutions which depend on 8N effective parameters and are E6-invariant.
متن کاملFreckled Instantons in Two and Four Dimensions
Field theory with instantons can be partially regularized by adding degrees of freedom at some scale. These extra degrees of freedom lead to the appearence of the new topological defects. These defects which we call freckles have some characteristic size depending on the scale at which the extra degrees of freedom revive. The examples of two dimensional sigma model, four dimensional gauge theor...
متن کاملNoncommutative U(1) Instantons in Eight Dimensional Yang-Mills Theory
We study the noncommutative version of the extended ADHM construction in the eight dimensional U(1) Yang-Mills theory. This construction gives rise to the solutions of the BPS equations in the Yang-Mills theory, and these solutions preserve at least 3/16 of supersymmetries. In a wide subspace of the extended ADHM data, we show that the integer k which appears in the extended ADHM construction s...
متن کاملNon-trivial Su(n) Instantons and Exotic Skyrmions
The classical Yang-Mills equations are solved for arbitrary semi-simple gauge groups in the Schwinger-Fock gauge. A new class of SU(N) instantons is presented which are not embeddings of SU(N-1) instantons but have non-trivial SU(N) color structure and carry winding number n = N (N 2 − 1)/6. Explicit configurations are given for SU(3) and SU(4) gauge groups. By means of the Atiyah Manton proced...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Advances in Applied Clifford Algebras
سال: 2021
ISSN: ['0188-7009', '1661-4909']
DOI: https://doi.org/10.1007/s00006-021-01183-y