Stringy cosmic strings and axion cohomology

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Abstract
The static stationary axially symmetric background ("infinite cosmic string") of the D=4 string theory provided with an axion charge is studied in the effective theory approach. The most general exact solution is constructed. It is found that the Kalb-Ramond axion charge, present in the string topology R3×S1, produces nontrivial gravitational field configurations which feature horizons. The corresponding "no-hair" theorems are proved, which stress the uniqueness of black strings. The connection of the solutions with the gauged Wess-Zumino-Witten-Novikov σ model constructions on the world sheet is discussed since they are the only target spaces which hide their singularities behind horizons, and thus obey the cosmic censorship conjecture.
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