Penrose limit for holographic duals of JT¯ deformations
| Autor: | Dibakar Roychowdhury |
|---|---|
| Rok vydání: | 2021 |
| Předmět: |
High Energy Physics - Theory
Statistics and Probability Physics Light cone gauge Spectrum (functional analysis) Plane wave FOS: Physical sciences General Physics and Astronomy Statistical and Nonlinear Physics Conformal map Space (mathematics) String (physics) symbols.namesake AdS/CFT correspondence High Energy Physics - Theory (hep-th) Modeling and Simulation symbols Hamiltonian (quantum mechanics) Mathematical Physics Mathematical physics |
| Zdroj: | Journal of Physics A: Mathematical and Theoretical. 54:335401 |
| ISSN: | 1751-8121 1751-8113 |
| DOI: | 10.1088/1751-8121/ac1385 |
| Popis: | We explore bosonic string sigma models on warped $ BTZ\times S^3 $ both in the plane wave as well as beyond plane wave limit. Using the light cone gauge, we obtain the corresponding Hamiltonian and therefore the spectrum associated with the pp wave strings. Our analysis reveals a constant shift in the spectrum arising as a result of TsT transformations along the isometries of the target space manifold. Imposing the energy positivity constraint on the CFT$_2 $ spectrum, we estimate an upper bound on the shift. We also estimate corrections as we go beyond the plane wave limit. Finally, we perform calculations using conformal gauge which reveals identical spectrum for the pp wave strings and thereby shows the equivalence between the two approaches. Comment: Version to appear in J. Phys. A |
| Databáze: | OpenAIRE |
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