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More on two-dimensional $O (N)$ models with $N = (0, 1)$ supersymmetry

Adam J. Peterson¹, Evgeniy Kurianovych¹, and Mikhail Shifman^1,2

¹University of Minnesota School of Physics and Astronomy, Minneapolis, Minnesota 55455, USA
²William I. Fine Theoretical Physics Institute, University of Minnesota, Minneapolis, Minnesota 55455, USA

Phys. Rev. D 93, 065016 – Published 7 March, 2016

DOI: https://doi.org/10.1103/PhysRevD.93.065016

Abstract

We study the behavior of two-dimensional supersymmetric connections of $n$ copies of $O (N)$ models with an $N = (0, 1)$ heterotic deformation generated by a right-moving fermion. We develop the model in analogy with the connected $N = (0, 2)$ $C P (N - 1)$ models for the case of a single connecting fermionic superfield. We calculate the effective potential in the large- $N$ limit and determine the vacuum field configurations. Similarly to other supersymmetry (SUSY) connected models we find that SUSY is unbroken under certain conditions despite the vanishing of the Witten index. Specifically, this preservation of SUSY occurs when we have an even number $n$ of $O (N)$ families. As in previous cases we show that this result follows from a $Z_{n}$ symmetry under a particular exchange of the $O (N)$ families. This leads to a definition of a modified Witten index, which guarantees the preservation of SUSY in this case.

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More on two-dimensional $O (N)$ models with $N = (0, 1)$ supersymmetry

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More on two-dimensional O(N) models with N=(0,1) supersymmetry

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More on two-dimensional $O (N)$ models with $N = (0, 1)$ supersymmetry