Conformal Quantum Mechanics and Sine-Square Deformation
Tsukasa Tada

TL;DR
This paper explores conformal quantum mechanics (CQM) through sine-square deformation (SSD) and entanglement Hamiltonian, simplifying the understanding of these concepts compared to higher-dimensional theories.
Contribution
It identifies operators related to SSD and entanglement Hamiltonian within CQM, providing a clearer framework for their analysis.
Findings
Operators for SSD and entanglement Hamiltonian are explicitly identified in CQM.
Simplifies the study of SSD and entanglement in a lower-dimensional setting.
Provides insights applicable to higher-dimensional conformal field theories.
Abstract
We revisit conformal quantum mechanics (CQM) from the perspective of sine-square deformation (SSD) and the entanglement Hamiltonian. The operators that correspond to SSD and the entanglement Hamiltonian are identified. Thus, the nature of SSD and entanglement can be discussed in a much simpler CQM setting than higher-dimensional field theories.
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