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

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...

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Bibliographic Details
Published in:Journal of Physics A: Mathematical and Theoretical
Main Authors: Minahan, Joseph A., Naseer, Usman
Language:unknown
Published: 2023
Subjects:
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
North Pole
South Pole
South pole
Online Access:http://www.osti.gov/servlets/purl/1611855
https://www.osti.gov/biblio/1611855
https://doi.org/10.1088/1751-8121/ab1ab1
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Summary: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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