Twisted circle compactifications of 6d SCFTs

Bhardwaj, Lakshya; Jefferson, Patrick; Kim, Hee-Cheol; Tarazi, Houri-Christina; Vafa, Cumrun

doi:10.1007/jhep12(2020)151

Twisted circle compactifications of 6d SCFTs

Journal Article · Wed Dec 23 00:00:00 EST 2020 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/jhep12(2020)151· OSTI ID:1851688

Bhardwaj, Lakshya ^[1]; Jefferson, Patrick ^[2]; Kim, Hee-Cheol ^[3]; Tarazi, Houri-Christina ^[4]; Vafa, Cumrun ^[4]

Harvard Univ., Cambridge, MA (United States); Harvard Univ., Cambridge, MA (United States)
Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
Pohang Univ. of Science and Technology (POSTECH) (Korea, Republic of)
Harvard Univ., Cambridge, MA (United States)

We study 6d superconformal field theories (SCFTs) compactified on a circle with arbitrary twists. The theories obtained after compactification, often referred to as 5d Kaluza-Klein (KK) theories, can be viewed as starting points for RG flows to 5d SCFTs. According to a conjecture, all 5d SCFTs can be obtained in this fashion. We compute the Coulomb branch prepotential for all 5d KK theories obtainable in this manner and associate to these theories a smooth local genus one fibered Calabi-Yau threefold in which is encoded information about all possible RG flows to 5d SCFTs. These Calabi-Yau threefolds provide hitherto unknown M-theory duals of F-theory configurations compactified on a circle with twists. For certain exceptional KK theories that do not admit a standard geometric description we propose an algebraic description that appears to retain the properties of the local Calabi-Yau threefolds necessary to determine RG flows to 5d SCFTs, along with other relevant physical data.

View Accepted Manuscript (DOE)

Research Organization:: Harvard Univ., Cambridge, MA (United States); Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)

Sponsoring Organization:: Greek America Foundation; National Research Foundation of Korea (NRF); National Science Foundation; POSCO Science Fellowship; USDOE Office of Science (SC), High Energy Physics (HEP)

Grant/Contract Number:: SC0012567; SC0019127

OSTI ID:: 1851688

Journal Information:: Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 12 Vol. 2020; ISSN 1029-8479

Publisher:: Springer NatureCopyright Statement

Country of Publication:: United States

Language:: English

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