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DOE OSTI · 1850997

Evidence for a 5d F-theorem

Fluder, Martin·Uhlemann, Christoph F.
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Abstract

Renormalization group flows are studied between 5d SCFTs engineered by (p, q) 5-brane webs with large numbers of external 5-branes. A general expression for the free energy on S5 in terms of single-valued trilogarithm functions is derived from their supergravity duals, which are characterized by the 5-brane charges and additional geometric parameters. The additional geometric parameters are fixed by regularity conditions, and we show that the solutions to the regularity conditions extremize a trial free energy. These results are used to survey a large sample of O(10 5 ) renormalization group flows between different 5d SCFTs, including Higgs branch flows and flows that preserve the SU(2) R- symmetry. In all cases the free energy changes monotonically towards the infrared, in line with a 5d F -theorem.

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71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICSAdS-CFT CorrespondenceField Theories in Higher DimensionsPhysics

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Fluder, Martin, Uhlemann, Christoph F.. 2021-02-23. Evidence for a 5d F-theorem. https://doi.org/10.1007/jhep02(2021)192

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