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Seminars & Lectures

* TITLE

Conformal Quantum Mechanics in Cosmology

* SPEAKERS

Name	Affiliation	E-mail
Sang Pyo Kim	Kunsan National University, Korea	sungwon(at)ewha.ac.kr

* HOST(Applicant)

Name	Affiliation	E-mail
-

* DATE / TIME

2006-03-18, 3:00p.m.

* PLACE

APCTP Seoul Branch Office

* ABSTRACT

Conformal quantum mechanics first proposed by de Alfaro, Fubini, and Furlan is used in black holes as a tool to explain the black hole entropy. The conformal quantum mechanical model is also observed in quantum cosmology for homogeneous spacetimes with a cosmological constant. The
quantum FRW universe with a massless scalar field provides another model.

In this talk, I will investigate a cosmological model for conformal quantum mechanics. The inflaton with an inverse squared potential in the intermediate inflation does have the conformal quantum mechanics with the algebra $SU(1,1)$. However, the group structure determined by the invariant
operator satisfying the Liouville-von Neumann equation can be broken at quantum level and may belong to a larger group such as Virasoro group. This implies that the semiclassical theory differs from the classical theory and thus quantum corrections necessarily enter the semiclassical Einstein
equation. The physical implications are discussed.

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