Revisiting the multi-monopole point of SU(N) $$\mathcal{N}$$ = 2 gauge theory in four dimensions

Journal Article · 31 August 2021 · Journal of High Energy Physics (Online)

DOI: https://doi.org/10.1007/jhep09(2021)003 · OSTI ID:1853639

D’Hoker, Eric ^[1]; Dumitrescu, Thomas T. ^[2]; Gerchkovitz, Efrat ^[2]; Nardoni, Emily ^[2]

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1. Univ. of California, Los Angeles, CA (United States); Univ. of California, Los Angeles, CA (United States)
2. Univ. of California, Los Angeles, CA (United States)

Motivated by applications to soft supersymmetry breaking, we revisit the expansion of the Seiberg-Witten solution around the multi-monopole point on the Coulomb branch of pure SU(N) $$\mathcal{N}$$ = 2 gauge theory in four dimensions. At this point N - 1 mutually local magnetic monopoles become massless simultaneously, and in a suitable duality frame the gauge couplings logarithmically run to zero. We explicitly calculate the leading threshold corrections to this logarithmic running from the Seiberg-Witten solution by adapting a method previously introduced by D’Hoker and Phong. We compare our computation to existing results in the literature; this includes results specific to SU(2) and SU(3) gauge theories, the large-N results of Douglas and Shenker, as well as results obtained by appealing to integrable systems or topological strings. We find broad agreement, while also clarifying some lingering inconsistencies. Finally, we explicitly extend the results of Douglas and Shenker to finite N, finding exact agreement with our first calculation.

• Research Organization: Univ. of California, Los Angeles, CA (United States)
• Sponsoring Organization: Hellman Fellowship; Israel National Postdoctoral Award Program; National Science Foundation (NSF); USDOE Office of Science (SC); USDOE Office of Science (SC), High Energy Physics (HEP); Univ. of California Santa Barbara
• Grant/Contract Number: SC0020421
• OSTI ID: 1853639
• Journal Information: Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 9 Vol. 2021; ISSN 1029-8479
• Publisher: Springer NatureCopyright Statement
• Country of Publication: United States
• Language: English