
arXiv: 1712.06596
Abstract We study the supergravity dual of four-dimensional $$ \mathcal{N}=1 $$ N = 1 superconformal field theories arising from wrapping M5-branes on a Kähler two-cycle inside a Calabi-Yau threefold. We derive an effective three-dimensional theory living on the cobordism between the infrared and ultraviolet Riemann surfaces, describing the renormalization group flows between AdS7 and AdS5 as well as between different AdS5 fixed points. The realization of this system as an effective theory is convenient to make connections to known theories, and we show that upon imposing (physical) infrared boundary conditions, the effective three-dimensional theory further reduces to two-dimensional SU(2) Yang-Mills theory on the Riemann surface.
High Energy Physics - Theory, Local differential geometry of Hermitian and Kählerian structures, FOS: Physical sciences, Calabi-Yau manifolds (algebro-geometric aspects), Supergravity, Two-dimensional field theories, conformal field theories, etc. in quantum mechanics, Yang-Mills and other gauge theories in quantum field theory, Renormalization group methods applied to problems in quantum field theory, M-theory, AdS-CFT correspondence, High Energy Physics - Theory (hep-th), supergravity models, renormalization group
High Energy Physics - Theory, Local differential geometry of Hermitian and Kählerian structures, FOS: Physical sciences, Calabi-Yau manifolds (algebro-geometric aspects), Supergravity, Two-dimensional field theories, conformal field theories, etc. in quantum mechanics, Yang-Mills and other gauge theories in quantum field theory, Renormalization group methods applied to problems in quantum field theory, M-theory, AdS-CFT correspondence, High Energy Physics - Theory (hep-th), supergravity models, renormalization group
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