TY - JOUR

T1 - One-dimensional string theory on a circle

AU - Gross, David J.

AU - Klebanov, Igor

N1 - Funding Information: * Research supported in part by NSF grant PHY8O-19754. * * Research supported in part by DOE grant DE-ACO2-76WRO3072.

PY - 1990/11/19

Y1 - 1990/11/19

N2 - We discuss random matrix-model representations of D = 1 string theory, with particular emphasis on the case in which the target space is a circle of finite radius. The duality properties of discretized strings are analyzed and shown to depend on the dynamics of vortices. In the representation in terms of a continuous circle of matrices we find an exact expression for the free energy, neglecting non-singlet states, as a function of the string coupling and the radius which exhibits exact duality. In a second version, based on a discrete chain of matrices, we find that vortices induce, for a finite radius, a Kosterlitz-Thouless phase transition that takes us to a c = 0 theory.

AB - We discuss random matrix-model representations of D = 1 string theory, with particular emphasis on the case in which the target space is a circle of finite radius. The duality properties of discretized strings are analyzed and shown to depend on the dynamics of vortices. In the representation in terms of a continuous circle of matrices we find an exact expression for the free energy, neglecting non-singlet states, as a function of the string coupling and the radius which exhibits exact duality. In a second version, based on a discrete chain of matrices, we find that vortices induce, for a finite radius, a Kosterlitz-Thouless phase transition that takes us to a c = 0 theory.

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U2 - https://doi.org/10.1016/0550-3213(90)90667-3

DO - https://doi.org/10.1016/0550-3213(90)90667-3

M3 - Article

SN - 0550-3213

VL - 344

SP - 475

EP - 498

JO - Nuclear Physics, Section B

JF - Nuclear Physics, Section B

IS - 3

ER -