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 - 10.1016/0550-3213(90)90667-3
DO - 10.1016/0550-3213(90)90667-3
M3 - Article
AN - SCOPUS:13444254226
SN - 0550-3213
VL - 344
SP - 475
EP - 498
JO - Nuclear Physics, Section B
JF - Nuclear Physics, Section B
IS - 3
ER -