2D quantum gravity on compact Riemann surfaces with non-conformal matter

被引:0
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作者
Adel Bilal
Lætitia Leduc
机构
[1] Laboratoire de Physique Théorique de l’ École Normale Supérieure,Institut für Theoretische Physik
[2] PSL Research University,undefined
[3] CNRS,undefined
[4] Sorbonne Universités,undefined
[5] UPMC Paris 6,undefined
[6] Universität zu Köln,undefined
关键词
2D Gravity; Models of Quantum Gravity;
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摘要
We study the gravitational action induced by coupling two-dimensional non-conformal, massive matter to gravity on a compact Riemann surface. We express this gravitational action in terms of finite and well-defined quantities for any value of the mass. A small-mass expansion gives back the Liouville action in the massless limit, the Mabuchi and Aubin-Yau actions to first order, as well as an infinite series of higher-order contributions written in terms of purely geometric quantities.
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