Homotopy Structure of 5d Vacua

Details Homotopy Structure of 5d Vacua Homotopy Structure of 5d Vacua

2003-08-27

arxiv.org/abs/hep-th/0308178v2

J.Math.Phys. 45 (2004) 1511-1517

Physics

High Energy Physics

High Energy Physics - Theory

8 pages

Scientific paper

10.1063/1.1667611

It is shown that flat zero-energy solutions (vacua) of the 5d Kaluza-Klein theory admit a non-trivial homotopy structure generated by certain Kaluza-Klein excitations. These vacua consist of an infinite set of homotopically different spacetimes denoted by $\mathcal{M}^{(n)}_5$, among which $\mathcal{M}^{(0)}_5$ and $\mathcal{M}^{(1)}_5$ are especially identified as $M_{4} \times S^{1}$ and $M_5$, the ground states of the 5d Kaluza-Klein theory and the 5d general relativity, respectively (where $M_k$ represents the $k$-dimensional Minkowski space).

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