We consider the model of hard dimers coupled to two-dimensional causal dynamical triangulations (CDT) with all dimer types present and solve it exactly subject to a single restriction. Depending on the dimer weights there are, in addition to the usual gravity phase of CDT, two tri-critical and two dense dimer phases. We establish the properties of these phases, computing their cylinder and disk amplitudes, and their scaling limits.
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Univ Sao Paulo, Inst Math & Stat, Dept Stat, BR-05508090 Sao Paulo, BrazilUniv Sao Paulo, Inst Math & Stat, Dept Stat, BR-05508090 Sao Paulo, Brazil
Hernandez, J. C.
Suhov, Y.
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Univ Sao Paulo, Inst Math & Stat, Dept Stat, BR-05508090 Sao Paulo, Brazil
Univ Cambridge, DPMMS, Cambridge CB3 0WB, England
IITP RAS, Moscow 127994, RussiaUniv Sao Paulo, Inst Math & Stat, Dept Stat, BR-05508090 Sao Paulo, Brazil
Suhov, Y.
Yambartsev, A.
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Univ Sao Paulo, Inst Math & Stat, Dept Stat, BR-05508090 Sao Paulo, BrazilUniv Sao Paulo, Inst Math & Stat, Dept Stat, BR-05508090 Sao Paulo, Brazil
Yambartsev, A.
Zohren, S.
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Univ Sao Paulo, Inst Math & Stat, Dept Stat, BR-05508090 Sao Paulo, Brazil
PUC Rio de Janeiro, Dept Phys, Rio De Janeiro, Brazil
Univ Oxford, Rudolf Peierls Ctr Theoret Phys, Oxford OX1 3NP, England
Univ Oxford, Mansfield Coll, Oxford OX1 3NP, EnglandUniv Sao Paulo, Inst Math & Stat, Dept Stat, BR-05508090 Sao Paulo, Brazil
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Boston Univ, Ctr Polymer Studies, Boston, MA 02215 USA
Boston Univ, Dept Phys, Boston, MA 02215 USABoston Univ, Ctr Polymer Studies, Boston, MA 02215 USA
Olejarz, J.
Krapivsky, P. L.
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Boston Univ, Dept Phys, Boston, MA 02215 USABoston Univ, Ctr Polymer Studies, Boston, MA 02215 USA
Krapivsky, P. L.
Redner, S.
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Boston Univ, Ctr Polymer Studies, Boston, MA 02215 USA
Boston Univ, Dept Phys, Boston, MA 02215 USABoston Univ, Ctr Polymer Studies, Boston, MA 02215 USA
Redner, S.
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT,
2013,