Kähler uniformization from holographic renormalization group flows of M5-branes

  title={K{\"a}hler uniformization from holographic renormalization group flows of M5-branes},
  author={Martin Fluder},
  journal={Journal of High Energy Physics},
  • Martin Fluder
  • Published 25 October 2017
  • Mathematics, Physics
  • Journal of High Energy Physics
A bstractIn this paper, we initiate the study of holographic renormalization group flows for the metric of four-manifolds. In particular, we derive a set of equations which govern the evolution of a generic Kähler 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 Kähler four-cycle inside a Calabi-Yau threefold. By topologically twisting the theory in… 

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