TL;DR
This paper explores how conformal quantum mechanics can exhibit Virasoro symmetries and discusses their connection to the AdS/CFT correspondence, revealing conditions for symmetry enhancement.
Contribution
It identifies specific conditions under which conformal quantum mechanics exhibits Virasoro symmetries and how these can combine, linking to the AdS/CFT framework.
Findings
Conformal quantum mechanics can have two half-Virasoro algebras.
Conditions are derived for these algebras to combine into a full Virasoro algebra.
The work discusses implications for the AdS/CFT correspondence.
Abstract
We demonstrate that under certain conditions a theory of conformal quantum mechanics will exhibit the symmetries of two half-Virasoro algebras. We further demonstrate the conditions under which these algebras combine to form a single Virasoro algebra, and comment on the connection between this result and the AdS/CFT correspondence.
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