Constant magnetic field in closed string theory: an exactly solvable model

Details Constant magnetic field in closed string theory: an exactly solvable model Constant magnetic field in closed string theory: an exactly solvable model

1994-11-14

arxiv.org/abs/hep-th/9411099v3

Nucl.Phys.B448:293-330,1995

Physics

High Energy Physics

High Energy Physics - Theory

39 pages, harvmac (some corrections and addenda; version to appear in Nuclear Physics)

Scientific paper

10.1016/0550-3213(95)00091-6

We consider a simple model describing a closed bosonic string in a constant magnetic field. Exact conformal invariance demands also the presence of a non-trivial metric and antisymmetric tensor (induced by the magnetic field). The model is invariant under target space duality in a compact Kaluza-Klein direction introduced to couple the magnetic field. Like open string theory in a constant gauge field, or closed string theory on a torus, this model can be straightforwardly quantized and solved with its spectrum of states and partition function explicitly computed. Above some critical value of the magnetic field an infinite number of states become tachyonic, suggesting a presence of phase transition. We also construct heterotic string generalisations of this bosonic model in which the constant magnetic field is embedded either in the Kaluza-Klein or internal gauge group sector.

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