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Derivation of AdS/CFT for Vector Models

September 16, 2022 @ 11:00 am - 12:00 pm

Member Seminar
Speaker: Shai Chester
Title: Derivation of AdS/CFT for Vector Models

Abstract: We derive an explicit map at finite N between the singlet sector of the free and critical O(N) and U(N) vector models in any spacetime dimension above two, and a bulk higher spin theory in anti-de Sitter space in one higher dimension. For the boundary theory, we use the bilocal formalism of Jevicki et al to restrict to the singlet sector of the vector model. The bulk theory is defined from the boundary theory via our mapping, and is a consistent quantum higher spin theory with a well defined action. Our mapping relates bilocal operators in the boundary theory to higher spin fields in the bulk, while single trace local operators in the boundary theory are related to boundary values of higher spin fields. We also discuss generalizations of the map to gauge theories, and at finite temperature.


September 16, 2022
11:00 am - 12:00 pm
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CMSA Room G10
CMSA, 20 Garden Street
Cambridge, MA 02138 United States
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