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Twisted supersymmetry and the topology of theory space

Nima Arkani-Hamed·Andrew G. Cohen·Howard Georgi
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Abstract

We present examples of four dimensional, non-supersymmetric field theories in which ultraviolet supersymmetry breaking effects, such as bose-fermi splittings and the vacuum energy, are suppressed by $(α/4 π)^{N}$, where $α$ is a weak coupling factor and $N$ can be made arbitrarily large. The particle content and interactions of these models are conveniently represented by a graph with sites and links, describing the gauge theory space structure. While the theories are supersymmetric ``locally'' in theory space, supersymmetry can be explicitly broken by topological obstructions.

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Nima Arkani-Hamed, Andrew G. Cohen, Howard Georgi. 2001-09-10. Twisted supersymmetry and the topology of theory space. https://doi.org/10.1088/1126-6708%2F2002%2F07%2F020

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