THE PENNER MATRIX MODEL AND c = 1 STRINGS
1991 ◽
Vol 06
(18)
◽
pp. 1665-1677
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Keyword(s):
The steepest descent solution of the Penner matrix model has a one-cut eigenvalue support. Criticality results when the two branch points of this support coalesce. The support is then a closed contour in the complex eigenvalue plane. Simple generalizations of the Penner model have multi-cut solutions. For these models, the eigenvalue support at criticality is also a closed contour, but consisting of several cuts. We solve the simplest such model, which we call the KT model, in the double-scaling limit. Its free energy is a Legendre transform of the free energy of the c = 1 string compactified to the critical radius of the Kosterlitz–Thouless phase transition.
1993 ◽
Vol 08
(06)
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pp. 1139-1152
Keyword(s):
2001 ◽
Vol 94
(1-3)
◽
pp. 708-710
Keyword(s):
1994 ◽
Vol 03
(01)
◽
pp. 203-206
Keyword(s):
1991 ◽
Vol 06
(09)
◽
pp. 811-818
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Keyword(s):
2003 ◽
Vol 56
(4)
◽
pp. 433-516
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Keyword(s):