Rp. Zaikov et Si. Zlatev, MORE ABOUT A BOSONIC STRING WITH A TOPOLOGICAL TERM, Journal of physics. A, mathematical and general, 29(5), 1996, pp. 1125-1137
We study a model of a bosonic string in a specific antisymmetric backg
round. It is shown that the action in the conformal gauge possesses th
e same residual Lu, symmetry as that for the ordinary bosonic string.
Static solutions to the classical equations of motion are found for ar
bitrary space-time dimension and for arbitrary orientation of the stri
ng, and the static potential in the semiclassical (quadratic) approxim
ation is derived. It is shown that the quasi-static picture breaks dow
n beyond some critical distance which depends on the orientation of th
e string.