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Abstract: We formulate six-dimensional Euclidean gravity as SU(4)=SO(6) Yang-Mills gauge theory. For that purpose we devise a six-dimensional version of the 't Hooft symbols which realizes the isomorp...
Abstract: For two nearby disjoint coassociative submanifolds C and C' in a G_2-manifold, we construct thin instantons with boundaries lying on C and C' from regular J-holomorphic curves in C. We expla...
Nonperturbative effects in string theory are usually associated to D-branes. In many cases it can be explicitly shown that D-brane instantons control the large-order behavior of string perturbation th...
Abstract: Nonperturbative effects in string theory are usually associated to D-branes. In many cases it can be explicitly shown that D-brane instantons control the large-order behavior of string pertu...
We construct noncommutative Donaldson{Thomas invariants associated with abelian orbifold singularities by analysing the instanton contributions to a six-dimensional topological gauge theory.
We study instanton partition functions for N = 2 superconformal Sp(1) and SO(4) gauge theories. We find that they agree with the corresponding U(2) instanton partitions functions only after a non-triv...
In this paper, we classify and construct five-dimensional black holes on gravitational instantons in vacuum Einstein gravity, with RxU(1)xU(1) isometry. These black holes have spatial backgrounds whi...
In this paper, we classify and construct five-dimensional black holes on gravitational instantons in vacuum Einstein gravity, with R × U(1) × U(1) isometry. These black holes have spatial backgrounds...
A relation between circular 1/2 BPS 't Hooft operators in 4d N=4 SYM and instantonic solutions in 2d Yang-Mills theory (YM_2) has recently been conjectured. Localization indeed predicts that those 't ...
We use moduli spaces of instantons and Chern-Simons invariants of flat connections to prove that the Whitehead doubles of (2, 2n − 1) torus knots are independent in the smooth knot concordance g...
We review the SO(3) instanton gauge theory of Fintushel and Stern and recast it in the context of 4-manifolds with cylindrical ends. Appli-cations to the Z/2 homology cobordism group of Z/2 homology 3...
Chaotic instanton approach is used to describe dynamical tunneling in kicked double well system. Effective Hamiltonian for the kicked system is obtained using matrix expansion formula for operator exp...
Starting from trace formulae for the tunnelling splittings (or decay rates) analytically continued in the complex time domain, we obtain explicit semiclassical expansions in terms of complex trajector...
2002Vol.38No.6pp.691-697DOI: Instantons on General Noncommutative R4 TIAN Yu1 and ZHU Chuan-Jie2,3 1 School of Physics, Peking University, Beijing 100871, China 2 Instit...

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