ES3 - Exact Solutions (including higher dimensions) |
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Speaker |
Oh, Seung Hun |
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Coauthors |
Fabrizio Canfora, Patricio Salgado-Rebolledo |
| Talk Title |
Gravitational catalysis of merons in Einstein-Yang-Mills theory |
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Abstract |
In this talk, we construct regular configurations of the Einstein-Yang-Mills theory in various dimensions. The gauge field is of meron-type: it is proportional to a pure gauge (with a suitable parameter $\lambda$ determined by the field equations). The corresponding smooth gauge transformation cannot be deformed continuously to the identity. In the three-dimensional case we consider the inclusion of a Chern-Simons term into the analysis, allowing $\lambda$ to be different from its usual value of $1/2$. In four dimensions, the gravitating meron is a smooth Euclidean wormhole interpolating between different vacua of the theory. In five and higher dimensions smooth meron-like configurations can also be constructed by considering warped products of the three-sphere and lower-dimensional Einstein manifolds. In all cases merons (which on flat spaces would be singular) become regular due to the coupling with general relativity. This effect is named ``gravitational catalysis of merons''. |
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