Kähler uniformization from holographic renormalization group flows of M5-branes
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Publication:1783789
DOI10.1007/JHEP08(2018)046zbMATH Open1396.83062arXiv1710.09479MaRDI QIDQ1783789
Author name not available (Why is that?)
Publication date: 21 September 2018
Published in: (Search for Journal in Brave)
Abstract: In this paper, we initiate the study of holographic renormalization group flows acting on the metric of four-manifolds. In particular, we derive a set of equations which govern the evolution of a generic K"ahler four-manifold along the renormalization group flow in seven-dimensional gauged supergravity. The physical eleven-dimensional M-theory setup is given by a stack of M5-branes wrapping a calibrated K"ahler four-cycle inside a Calabi-Yau threefold. By topologically twisting the theory in the ultraviolet, we may choose an arbitrary K"ahler metric on the four-cycle as an asymptotic boundary condition. Along the renormalization group flow, the metric moduli are largely washed out, and at the infrared fixed point we will reach a K"ahler-Einstein metric, which is the expected uniformization behavior.
Full work available at URL: https://arxiv.org/abs/1710.09479
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