Kähler uniformization from holographic renormalization group flows of M5-branes

Fluder, Martin

doi:10.1007/jhep08(2018)046

Kähler uniformization from holographic renormalization group flows of M5-branes

Journal Article · Fri Aug 10 00:00:00 EDT 2018 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/jhep08(2018)046· OSTI ID:1501465

Fluder, Martin ^[1]

California Inst. of Technology (CalTech), Pasadena, CA (United States). Walter Burke Inst. of Theoretical Physics; California Inst. of Technology, Pasadena (United States)

In this study, 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 the ultraviolet, we may choose an arbitrary Kähler metric on the four-cycle as an asymptotic boundary condition. We find that at the infrared fixed point, we reach a Kähler-Einstein metric, which can be interpreted as an indication of “uniformizing” behavior of the flow.

View Accepted Manuscript (DOE)

Research Organization:: California Inst. of Technology, Pasadena, CA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)

Grant/Contract Number:: SC0011632

OSTI ID:: 1501465

Journal Information:: Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 8 Vol. 2018; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

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