Euclidean D-branes and higher-dimensional gauge theory

Details Euclidean D-branes and higher-dimensional gauge theory Euclidean D-branes and higher-dimensional gauge theory

1997-07-11

arxiv.org/abs/hep-th/9707118v3

Nucl.Phys. B514 (1998) 583-602

Physics

High Energy Physics

High Energy Physics - Theory

23 pages (some changes in section 4.5 -- equations 27 and 28 change slightly) (missing bibliography added!)

Scientific paper

10.1016/S0550-3213(97)00727-X

We consider euclidean D-branes wrapping around manifolds of exceptional holonomy in dimensions seven and eight. The resulting theory on the D-brane---that is, the dimensional reduction of 10-dimensional supersymmetric Yang-Mills theory---is a cohomological field theory which describes the topology of the moduli space of instantons. The 7-dimensional theory is an N_T = 2 (or balanced) cohomological theory given by an action potential of Chern-Simons type. As a by-product of this method, we construct a related cohomological field theory which describes the monopole moduli space on a 7-manifold of G_2 holonomy.

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