Constant magnetic field in closed string theory: An Exactly solvable model

Russo, J.G.; Tseytlin, Arkady A.

doi:10.1016/0550-3213(95)00091-6

Constant magnetic field in closed string theory: An Exactly solvable model

J.G. Russo
(
- CERN
)
,
Arkady A. Tseytlin
(
- Imperial Coll., London
)

Nov, 1994

33 pages

Published in:

Nucl.Phys.B 448 (1995) 293-330

e-Print:

hep-th/9411099 [hep-th]

DOI:

10.1016/0550-3213(95)00091-6

Report number:

CERN-TH-7494-94,
IMPERIAL-TP-94-95-3

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Abstract:

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 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.

Note:

35 pages, harvmac Report-no: CERN-TH.7494/94, Imperial/TP/94-95/3

string model: boson
string: closed
magnetic field: constant
quantization
field equations: solution
mass spectrum
phase space
partition function
Kaluza-Klein model
string model: heterotic

References(88)

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