QUANTUM GRAVITY IN TWO DIMENSIONS

1987/11/01 by A. M. Polyakov · 1 voice · 6 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories

paper · doi:10.1142/s0217732387001130

openalex publication_date 1987/11/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/05/21

Abstract

Two dimensional induced quantum gravity is analyzed. By the use of light-cone gauge we derive a gravitational analogue of the Wess-Zumino action and discover its amazing connection with SL (2, ℝ) current algebra. The latter permits us to find differential equations for the correlation functions.

Cited by

• Virasoro Representations on (Diff S1)/S1 Coadjoint Orbits
• A Study of Two Dimensional String Theory (PhD Thesis)
• Covariant Calculus for Effective String Theories
• Topology Change and the Emergence of Geometry in Two Dimensional Causal Quantum Gravity
• Two Dimensional Conformal Symmetry and the Microscopic Interpretation of Black Hole Entropy
• The Diffeomorphism Field Revisited

Discussions

• I am trying to derive the action Polyakov presents in his 1987 paper Quantum Gravity in two dimensions , in the following form, $$W[f] = \frac{c}{24\pi}\int \mathrm{d}^2 z \, \frac{\partial_{\bar z} f [stackexchange, 2 points]

Related

• Quantum (2,2) supergravity
• Induced Gravity from the Consistent String Theory Coupled with Two - Dimensional Quantum Gravity
• Foundation of The Two dimensional Quantum Theory of Gravity
• Gauge connection between the WZNW system and 2D induced gravity
• Gauge Theory of Quantum Gravity