Gauge theories on spheres with 16 supercharges and non-constant couplings

Minahan, Joseph A.; Naseer, Usman

doi:10.1088/1751-8121/ab1ab1

Title: Gauge theories on spheres with 16 supercharges and non-constant couplings

Journal Article · Thu May 09 00:00:00 EDT 2019 · Journal of Physics. A, Mathematical and Theoretical

DOI:https://doi.org/10.1088/1751-8121/ab1ab1· OSTI ID:1611855

Minahan, Joseph A. ^[1];

^[2]

Uppsala Univ. (Sweden). Dept. of Physics and Astronomy
Uppsala Univ. (Sweden). Dept. of Physics and Astronomy; Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States). Center for Theoretical Physics

We construct a class of theories with 16 supersymmetries on spheres of dimension nine and less. The gauge coupling and mass terms for the scalar fields depend on the polar angle away from the north pole. Assuming finite coupling on the north pole, this leads to zero coupling at the south pole for d > 4 and infinite coupling at the south pole for d < 4. The underlying supersymmetry algebra of these theories is shown to be isomorphic to the Poincaré superalgebra in d-dimensions. We also give a localization procedure which leads to nontrivial results for d = 2.

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

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

Grant/Contract Number:: SC0012567

OSTI ID:: 1611855

Journal Information:: Journal of Physics. A, Mathematical and Theoretical, Vol. 52, Issue 23; ISSN 1751-8113

Publisher:: IOP PublishingCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 2 works

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References (37)

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