Stability and boundedness in AdS/CFT with double trace deformations

Autor:	Steven Casper, Duncan Pettengill, Akikazu Hashimoto, William Cottrell, Andrew Loveridge
Rok vydání:	2019
Předmět:	Physics Nuclear and High Energy Physics Unitarity Scalar (mathematics) General Physics and Astronomy Astronomy and Astrophysics Legendre transformation AdS/CFT correspondence symbols.namesake Tachyon symbols Boundary value problem Scaling Mathematical physics
Zdroj:	Modern Physics Letters A. 34:1950138
ISSN:	1793-6632 0217-7323
DOI:	10.1142/s0217732319501384
Popis:	Scalar fields on the bulk side of AdS/CFT correspondence can be assigned unconventional boundary conditions related to the conventional one by Legendre transform. One can further perform double trace deformations which relate the two boundary conditions via renormalization group flow. Thinking of these operators as S and T transformations, respectively, we explore the SL(2, R) family of models which naively emerges from repeatedly applying these operations. Depending on the parameters, the effective masses vary and can render the theory unstable. However, unlike in the SL(2, Z) structure previously seen in the context of vector fields in AdS4, some of the features arising from this exercise, such as the vacuum susceptibility, turns out to be scheme dependent. We explain how scheme independent physical content can be extracted in spite of some degree of scheme dependence in certain quantities.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::7fcccc4be019bc5f31c4e183a21668c3 https://doi.org/10.1142/s0217732319501384 Zobrazit plný text záznamu