Radial canonical AdS3 gravity and T T ¯ $$ T\overline{T} $$
Abstrak
Abstract We employ an ADM deparametrization strategy to discuss the radial canonical formalism of asymptotically AdS3 gravity. It leads to the identification of a radial ‘time’ before quantization, which is the volume time, canonically conjugate to York time. Holographically, this allows to interpret the semi-classical path integral of T T ¯ $$ T\overline{T} $$ theory as a Schrödinger wavefunctional satisfying a Schrödinger evolution equation in volume time, and the T T ¯ $$ T\overline{T} $$ operator expectation value in terms of the Hamiltonian that generates volume time translations — both consistent with cut-off holography. We make use of the canonical perspective to construct the rotating BTZ solution from the Hamilton-Jacobi equation, with a finite cut-off energy spectrum that has a known holographic T T ¯ $$ T\overline{T} $$ interpretation, as well as semi-classical Wheeler-DeWitt states for that solution.
Topik & Kata Kunci
Penulis (4)
Matthew J. Blacker
Nele Callebaut
Blanca Hergueta
Sirui Ning
Akses Cepat
- Tahun Terbit
- 2025
- Sumber Database
- DOAJ
- DOI
- 10.1007/JHEP01(2025)092
- Akses
- Open Access ✓