Quantum strings with a dynamic geometry
Volovich I. V., Katanaev M. O.
A new theory of boson strings is proposed. The geometry of the surface of a string of the type under consideration here is described by a metric and a twisting. The corresponding effective Lagrangian depends on scalar and vector fields. The question of the quantization of this string in a space of arbitrary dimensionality is examined. A condition under which the energy is positive definite is derived.