Moduli spaces and brane solitons for M-theory compactifications on holonomy \(G_2\) manifolds. (English) Zbl 0974.83048
Summary: We investigate the local geometry on the moduli space of \(G_2\) structures that arises in compactifications of M-theory on holonomy \(G_2\) manifolds. In particular, we determine the homogeneity properties of couplings of the associated \(N=1\), \(D=4\) supergravity under the scaling of moduli space coordinates. We then find some brane solitons of \(N=1\), \(D=4\) supergravity that are associated with wrapping M-branes on cycles of the compact space. These include cosmic strings and domain walls that preserve \(1/2\) of supersymmetry of the four-dimensional theory, and nonsupersymmetric electrically and magnetically charged black holes. The geometry of some of the black holes is that of nonextreme M-brane configurations reduced to four dimensions on a seven torus.
MSC:
| 83E30 | String and superstring theories in gravitational theory |
| 83E15 | Kaluza-Klein and other higher-dimensional theories |
| 83E05 | Geometrodynamics and the holographic principle |
| 14J81 | Relationships between surfaces, higher-dimensional varieties, and physics |
| 32G81 | Applications of deformations of analytic structures to the sciences |
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