Chiral geometries of (2+1)-d AdS gravity

Understand

Pure gravity in (2+1)-dimensions with negative cosmological constant is classically equivalent Chern-Simons gauge theory with gauge group SO(2; 2), which may be realized on chiral and antichiral gauge connections.

• This paper looks at half-AdS geometries i.e.
• those with a trivial rightmoving gauge connection while the left-moving connection is a standard (Banados-Teitelboim- Zanelli) BTZ connection.
• These are shown to be related by diffeomorphism to a BTZ geometry with different mass and angular momentum.