Abstract
We study supersymmetry breaking deformations of the mathcal{N} = 1 5d fixed point known as E1, the UV completion of SU(2) super-Yang-Mills. The phases of the non- supersymmetric theory can be characterized by Chern-Simons terms involving background U(1) gauge fields, allowing us to identify a phase transition at strong coupling. We propose that this may signify the emergence of a non-trivial, non-supersymmetric CFT in d = 4 + 1 dimensions.
Highlights
In this short note, we apply similar arguments to explore the phase structure of RG flows that emanate from the five dimensional E1 critical point, better known as the UV completion of SU(2) N = 1 supersymmetric Yang-Mills [8]
We study supersymmetry breaking deformations of the N = 1 5d fixed point known as E1, the UV completion of SU(2) super-Yang-Mills
The phases of the nonsupersymmetric theory can be characterized by Chern-Simons terms involving background U(1) gauge fields, allowing us to identify a phase transition at strong coupling. We propose that this may signify the emergence of a non-trivial, non-supersymmetric CFT in d = 4 + 1 dimensions
Summary
The E1 fixed point was first identified by Seiberg [8]. It can be thought of as the minimal UV completion of SU(2) super-Yang-Mills, with no discrete theta angle. The fixed point has symmetry. This can be thought of as weakly gauging the SU(2)I flavour symmetry and giving an expectation value h to the real scalar in the vector multiplet. This deformation preserves supersymmetry, but breaks SU(2)I → U(1)I. The surviving U(1)I ⊂ SU(2)I symmetry is identified as the topological current in the low-energy theory, The fact that this topological symmetry is enhanced to SU(2)I at the fixed point was first noted in [8], and has since been verified through analysis of instanton zero modes [23], the superconformal index [25], and the Nekrasov partition function [26]. We will provide evidence that, even after supersymmetry breaking, massless modes carrying both U(1)R ⊂ SU(2)R and U(1)I ⊂ SU(2)I charges persist at infinite coupling
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