ON SL(2, ℝ) AND AdS GRAVITY

Author:

HU SEN1,HU ZHI1,ZHANG RUORAN2

Affiliation:

1. School of Mathematics, University of Science and Technology of China, Hefei 230026, China

2. Department of Mathematics, Northeastern University, Boston, MA 02115, USA

Abstract

In this paper, we first view the three-dimensional gravity as the fixed points of generalized Ricci flow. Next we discuss the linear AdS3 gravity, and show some interesting topological properties in the Bañados, Teitelboim and Zanelli (BTZ) construction by manipulation of the group-theoretic properties of SL(2, ℝ). Finally we embed SL(2, ℝ) into OSp(1|2, ℝ) and consider the corresponding super-Chern–Simons action.

Publisher

World Scientific Pub Co Pte Lt

Subject

Astronomy and Astrophysics,Nuclear and High Energy Physics,Atomic and Molecular Physics, and Optics

Cited by 3 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Hyperbolic Superspaces and Super-Riemann Surfaces;Communications in Mathematical Physics;2020-07-16

2. CLASSICAL AND QUANTUM ASPECTS OF FIVE-DIMENSIONAL CHERN–SIMONS GAUGE THEORY;International Journal of Modern Physics A;2014-01-08

3. On semi-classical topologically massive gravity in three dimensions;The European Physical Journal C;2013-06

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