Canonical analysis of the gravitational description of the deformation
The description of the deformation in terms of two-dimensional gravity is analyzed from the Hamiltonian point of view, in a manner analogous to the Arnowitt-Deser-Misner description of general relativity. We find that the Hamiltonian constraints of the theory imply relations between target-space m...
Salvato in:
| Autore principale: | |
|---|---|
| Altri autori: | , |
| Natura: | article |
| Lingua: | inglese |
| Pubblicazione: |
2026
|
| Soggetti: | |
| Accesso online: | https://hdl.handle.net/20.500.12008/53998 |
| Tags: |
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| Riassunto: | The description of the deformation in terms of two-dimensional gravity is analyzed from the Hamiltonian point of view, in a manner analogous to the Arnowitt-Deser-Misner description of general relativity. We find that the Hamiltonian constraints of the theory imply relations between target-space momentum at finite volume that are equivalent to the finite-volume flow equations. This fully quantum result emerges already at the classical level within the gravitational theory. We exemplify the analysis for the case when the undeformed sector is a collection of −2 free massless scalars, where it is shown that—somewhat nontrivially—the target-space two-dimensional Poincaré symmetry is extended to dimensions. The connection between canonical quantization of this constrained Hamiltonian system and previous path integral quantizations is also discussed. We extend our analysis to the “gravitational” description of -type deformations, where it is found that the flow equations obtained involve deformations that twist the spatial boundary conditions. |
|---|