A quenched c = 1 critical matrix model
We study a variant of the Penner-Distler-Vafa model, proposed as a c = 1 quantum gravity: `quenched` matrix model with logarithmic potential. The model is exactly soluble, and exhibits a two-cut branching as observed in multicritical unitary matrix models and multicut Hermitian matrix models. Using analytic continuation of the power in the conventional polynomial potential, we also show that both the Penner-Distler-Vafa model and our `quenched` matrix model satisfy Virasoro algebra constraints.
- Research Organization:
- Florida Univ., Gainesville, FL (United States). Inst. for Fundamental Theory
- Sponsoring Organization:
- USDOE, Washington, DC (United States)
- DOE Contract Number:
- FG05-86ER40272
- OSTI ID:
- 10127283
- Report Number(s):
- DOE/ER/40272-122; UFIFT-HEP-90-35; ON: DE92008767
- Resource Relation:
- Other Information: PBD: Dec 1990
- Country of Publication:
- United States
- Language:
- English
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