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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 $E_{6}$-invariant.

High Energy Physics - Theory · Physics 2009-11-11 E. K. Loginov

We discuss instantons in dimensions higher than four. A generalized self-dual or anti-self-dual instanton equation in n-dimensions can be defined in terms of a closed (n-4) form $\Omega$ and it was recently employed as a topological gauge…

High Energy Physics - Theory · Physics 2008-11-26 H. Kanno

We consider Yang-Mills theory on manifolds ${\mathbb R}\times X$ with a $d$-dimensional Riemannian manifold $X$ of special holonomy admitting gauge instanton equations. Instantons are considered as particle-like solutions in $d+1$…

High Energy Physics - Theory · Physics 2016-01-28 Tatiana A. Ivanova

We study instanton contributions to the superpotential of local F-theory compactifications which could potentially be used to engineer models of dynamical supersymmetry breaking. These instantons correspond to Euclidean 3-branes which form…

High Energy Physics - Theory · Physics 2009-07-22 Jonathan J. Heckman , Joseph Marsano , Natalia Saulina , Sakura Schafer-Nameki , Cumrun Vafa

We study classical solutions (ic-instantons) in N=4 SYM in 4D which, in the strong coupling limit, correspond to complex two-dimensional manifolds. Asymptotically in time the latter have boundaries represented by compact real…

High Energy Physics - Theory · Physics 2007-05-23 G. Bonelli , L. Bonora , S. Terna , A. Tomasiello

Monopoles and instantons are sheets (membranes) and strings in d=5+1, respectively, and instanton strings can terminate on monopole sheets. We consider a pair of monopole and anti-monopole sheets which is unstable to decay and results in a…

High Energy Physics - Theory · Physics 2014-01-03 Muneto Nitta

We show that B-type $\Pi$-stable D-branes do not in general reduce to the (Gieseker-) stable holomorphic vector bundles used in mathematics to construct moduli spaces. We show that solutions of the almost Hermitian Yang--Mills equations for…

High Energy Physics - Theory · Physics 2009-11-10 H. Enger , C. A. Lütken

We present several results concerning non-commutative instantons and the Seiberg-Witten map. Using a simple ansatz we find a large new class of instanton solutions in arbitrary even dimensional non-commutative Yang-Mills theory. These…

High Energy Physics - Theory · Physics 2009-11-07 Per Kraus , Masaki Shigemori

We describe a class of exact solutions of super Yang-Mills theory on even-dimensional noncommutative tori. These solutions generalize the solitons on a noncommutative plane introduced in hep-th/0009142 that are conjectured to describe…

High Energy Physics - Theory · Physics 2009-11-07 Anatoly Konechny

We show that the `instantonic' soliton of five-dimensional Yang-Mills theory and the closely related BPS monopole of four-dimensional Yang-Mills/Higgs theory continue to be exact static, and stable, solutions of these field theories even…

High Energy Physics - Theory · Physics 2009-10-07 G. W. Gibbons , D. Kastor , L. A. J. London , P. K. Townsend , J. Traschen

Exact instanton solutions to $D=11$ spherical supermembranes moving in flat target spacetime backgrounds are construted. Our starting point is Super Yang-Mills theories, based on the infinite dimensional $SU(\infty)$ group, dimensionally…

High Energy Physics - Theory · Physics 2007-05-23 Carlos Castro

We introduce and study tetrahedron instantons, which can be realized in string theory by D$1$-branes probing a configuration of intersecting D$7$-branes in flat spacetime with a proper constant $B$-field. Physically they capture instantons…

High Energy Physics - Theory · Physics 2022-05-04 Elli Pomoni , Wenbin Yan , Xinyu Zhang

We find a new solution of Type IIB supergravity which represents a collection of D5 branes wrapped on the topologically non-trivial S^3 of the deformed conifold geometry T^*S^3. The Type IIB solution is obtained by lifting a new solution of…

High Energy Physics - Theory · Physics 2009-11-07 Jaume Gomis , Jorge G. Russo

We investigate dyonic black hole and dyon solutions of four-dimensional $SU(N)$ Einstein-Yang-Mills theory with a negative cosmological constant. We derive a set of field equations in this case, and prove the existence of non-trivial…

General Relativity and Quantum Cosmology · Physics 2016-02-04 J. Erik Baxter

An explicit solution in super Yang-Mills theory, which after T-duality describes two sets of D4-branes at angles, is constructed. The gauge configuration possesses 3/16 unbroken supersymmetry for the equal magnitudes of field strengths, and…

High Energy Physics - Theory · Physics 2009-10-30 Nobuyoshi Ohta , Jian-Ge Zhou

In this paper, we study the 't Hooft type instantons in eight dimensions, which satisfy the (anti)self-dual equations $F\wedge F=\pm\ast_8F\wedge F$. Using various designs of such instantons, we find new soliton solutions to the low-energy…

High Energy Physics - Theory · Physics 2021-11-09 E. K. Loginov

We consider the superposition of infinitely many instantons on a circle in R^4. The construction yields a self-dual solution of the Yang-Mills equations with action density concentrated on the ring. We show that this configuration is…

High Energy Physics - Theory · Physics 2009-11-10 Falk Bruckmann , Doerte Hansen

We study the resurgent structure of the topological string dual to 2d $U(N)$ Yang-Mills on torus. We find closed form formulas for instanton amplitudes up to arbitrarily high instanton orders, based on which we propose the non-perturbative…

High Energy Physics - Theory · Physics 2026-03-05 Jiashen Chen , Jie Gu , Xin Wang

The simplest and the most straightforward new algorithm for generating solutions to (anti) self-dual Yang-Mills (YM) equation in the typical gravitational instanton backgrounds is proposed. When applied to the Taub-NUT and the Eguchi-Hanson…

High Energy Physics - Theory · Physics 2009-10-31 Hongsu Kim , Yongsung Yoon

We study (anti-) instantons in super Yang-Mills theories defined on a non anticommutative superspace. The instanton solution that we consider is the same as in ordinary SU(2) N=1 super Yang-Mills, but the anti-instanton receives corrections…

High Energy Physics - Theory · Physics 2009-11-10 P. A. Grassi , R. Ricci , D. Robles-Llana