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The Cat's Cradle: Deforming the higher rank $E_1$ and $\tilde{E}_1$ theories

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arxiv 2011.05125 v1 pith:QXEPHJO7 submitted 2020-11-10 hep-th

Oren Bergman , Diego Rodriguez-Gomez This is my paper · ORCID
classification hep-th
keywords rankevensupersymmetrictheoriestheorytildedeformationsdifferent
verification ladder T0 review T1 audit T2 compute T3 formal

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abstract

We use 5-brane webs to study the two-dimensional space of supersymmetric mass deformations of higher rank generalizations of the 5d $E_1$ and $\tilde{E}_1$ theories. Some of the resulting IR phases are described by IR free supersymmetric gauge theories, while others correspond to interacting fixed points. The number of different phases appears to grow with the rank. The space of deformations is qualitatively different for the even and odd rank cases, but that of the even (odd) rank $E_1$ theory is similar to that of the odd (even) rank $\tilde{E}_1$ theory. One result of our analysis predicts that the supersymmetric $SU(N)$ theory with CS level $k=\frac{N}{2} + 4$ and a single massless antisymmetric hypermultiplet exhibits an enhanced global symmetry at the UV fixed point, given by $SU(2)\times SU(2)$ if $N$ is even, and $SU(2)\times U(1)$ if $N$ is odd.

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Cited by 5 Pith papers

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