Yang–Mills solutions and dyons on cylinders over coset spaces with Sasakian structure
We present solutions of the Yang–Mills equation on cylinders R×G/H over coset spaces of odd dimension 2m+1 with Sasakian structure. The gauge potential is assumed to be SU(m)-equivariant, parameterized by two real, scalar-valued functions. Yang–Mills theory with torsion in this setup reduces to the...
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| Format: | Article |
| Language: | English |
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Elsevier
2016-01-01
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| Series: | Nuclear Physics B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0550321315003880 |
| Summary: | We present solutions of the Yang–Mills equation on cylinders R×G/H over coset spaces of odd dimension 2m+1 with Sasakian structure. The gauge potential is assumed to be SU(m)-equivariant, parameterized by two real, scalar-valued functions. Yang–Mills theory with torsion in this setup reduces to the Newtonian mechanics of a point particle moving in R2 under the influence of an inverted potential. We analyze the critical points of this potential and present an analytic as well as several numerical finite-action solutions. Apart from the Yang–Mills solutions that constitute SU(m)-equivariant instanton configurations, we construct periodic sphaleron solutions on S1×G/H and dyon solutions on iR×G/H. |
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| ISSN: | 0550-3213 1873-1562 |