Abstract
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 effective theory of the heterotic fivebrane. We investigate conditions under which these instanton configurations can be identified with the $D$-instantons embedded in the $D7$-brane world volume. Finally, we discuss the relationship between eight-dimensional periodic instantons and monopoles.
Highlights
The study of classical soliton solutions in string theory with higher brane structure is closely related to the construction of nonperturbative superstring theory
While classical solitons are threelevel solutions in quantum string theory, they can be used in nonperturbative calculations such as vacuum tunneling, since higher-order corrections often do not contribute to these effects
We have studied the ’t Hooft type instantons in eight dimensions, which satisfy theself-dual equations ÃF ∧ F 1⁄4 ÆF ∧ F
Summary
The study of classical soliton solutions in string theory with higher brane structure is closely related to the construction of nonperturbative superstring theory. The Yang-Mills instantons were used to construct classical p-brane solitonic solutions of the low energy effective theory of the heterotic string (see [2,3,4,5,6,7,8,9]). We investigate various constructions of (anti)self-dual instantons in eight dimensions and seek related to them soliton solutions to the low-energy effective theory of the heterotic fivebrane. We will study the self-dual two-instanton configurations of the ’t Hooft type We use such instantons to construct soliton solutions that generalize the fivebrane solution that was obtained in the case of one-instanton.
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