Safe gauge-string correspondence

Soo Jong Rey, Francesco Sannino*


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Safe theories are quantum field theories whose continuum limit is defined by a non-Gaussian ultraviolet fixed point when the ultraviolet cutoff is removed. They constitute an important set in the space of quantum field theories. Here we develop the ‘safe’ gauge-string correspondence program according to which d-dimensional safe gauge theories, admitting the 't Hooft-Veneziano limit, are holographically dual to (d+1)-dimensional safe noncritical string theories on asymptotically anti-de Sitter space. We provide evidences for this correspondence on a class of safe templates that engage fermion and scalar matter fields into gauge, Yukawa and Higgs self-interactions. Safe theories can feature in the infrared both a weak coupling phase and a strong coupling phase on either side of the ultraviolet fixed point. They correspond respectively to dilaton and warp factors taking domain-wall or Liouville-wall profiles on asymptotically anti-de Sitter space. We argue that four-dimensional N=4 super Yang-Mills theories and all known interacting (super)conformal field theories are nonperturbative limit situations of safe gauge theories. The weak coupling phase provides a solvable holographic renormalization group flow while the strong coupling infrared phase provides a runaway-free alternative to holographic QCD.

TidsskriftNuclear Physics B
StatusUdgivet - dec. 2022

Bibliografisk note

Funding Information:
We thank P. Argyres, B. Bajc, A. Lugo, D. Orlando, S. Reffert, A. Sagnotti and G. Veneziano for stimulating discussions and comments. The work of S-J.R. was supported in part by the National Research Foundation of Korea Grants 2005-0093843 and 2012K2A1A9055280 . The work of F.S. was partially supported by the Danish National Research Foundation Grant DNRF:90 .

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© 2022 The Author(s)


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