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

被引：7

作者：

Bilal, Adel ^{[1
]}

Leduc, Laetitia ^{[2
]}

机构：

[1] UPMC Paris 6, Sorbonne Univ, PSL Res Univ, CNRS,Ecole Normale Super,Lab Phys Theor, 24 Rue Lhomond, F-75231 Paris 05, France

[2] Univ Cologne, Inst Theoret Phys, Zulpicher Str 77, D-50937 Cologne, Germany

来源：

JOURNAL OF HIGH ENERGY PHYSICS | 2017年 / 01期

关键词：

2D Gravity; Models of Quantum Gravity; MANIFOLDS; GEOMETRY;

D O I：

10.1007/JHEP01(2017)089

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

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-de fined 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 in finite series of higher-order contributions written in terms of purely geometric quantities.

引用

页数：16

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