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Flat-space chiral gravity.

Arjun Bagchi1, Stéphane Detournay, Daniel Grumiller

  • 1School of Mathematics, University of Edinburgh, Edinburgh, United Kingdom. arjun.bagchi@ed.ac.uk

Physical Review Letters
|October 30, 2012
PubMed
Summary
This summary is machine-generated.

This study reveals a holographic duality, connecting flat-space gravity to a 2D conformal field theory. This groundbreaking evidence links topological massive gravity to a specific chiral field theory.

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Area of Science:

  • Theoretical Physics
  • Quantum Gravity
  • String Theory

Background:

  • Holographic principle suggests a connection between gravity and quantum field theories.
  • Topologically massive gravity is a higher-derivative theory of gravity in 3D.
  • Conformal field theories (CFTs) are crucial in understanding critical phenomena and quantum gravity.

Purpose of the Study:

  • To establish the first holographic correspondence between a gravitational theory in flat space and a lower-dimensional unitary field theory.
  • To explore the flat-space limit of topologically massive gravity.
  • To identify the specific chiral 2D CFT dual to this gravitational theory.

Main Methods:

  • Analyzing the flat-space limit of topologically massive gravity at Chern-Simons level k=1.
  • Investigating the properties of the corresponding dual field theory.
  • Utilizing concepts from holographic duality and conformal field theory.

Main Results:

  • Provided the first evidence for a holographic duality.
  • Identified the gravitational theory as a flat-space limit of 3D topologically massive gravity (k=1).
  • Identified the dual field theory as a chiral 2D CFT with central charge c=24.

Conclusions:

  • The study establishes a concrete holographic connection between gravity and a specific 2D CFT.
  • This finding opens new avenues for studying quantum gravity through the lens of unitary field theories.
  • The identified duality provides a valuable tool for theoretical physics research.