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Evidence for a 5d F-theorem

Oct 30, 2020

33 pages

Published in:

JHEP 02 (2021) 192

Published: Feb 23, 2021

e-Print:

2011.00006 [hep-th]

DOI:

10.1007/JHEP02(2021)192

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Abstract: (Springer)

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 S

^{5}

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

\mathcal{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.

Note:

33 pages, 7 figures; v2: JHEP version, updated references

AdS-CFT Correspondence
Field Theories in Higher Dimensions
renormalization group: flow
supergravity: duality
membrane model
free energy
infrared
SU(2)
dimension: 5
field theory: conformal

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