More on Two-Dimensional $O(N)$ Models with $\mathcal{N}=(0,1)$ Supersymmetry

Abstract

We study the behavior of two dimensional supersymmetric connections of $n$ copies of $O(N)$ models with an $\mathcal{N}=(0,1)$ heterotic deformation generated by a right moving fermion. We develop the model in analogy with the connected $\mathcal{N}=(0,2)$ $CP(N-1)$ 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. Similarily to other 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 gaurantees the preservation of SUSY in this case.

20 pages, 4 figures

References in corpus (11)

• (0,2) Trialities
• Recent Developments in (0,2) Mirror Symmetry
• Notes on nonabelian (0,2) theories and dualities
• Chiral Algebras of (0,2) Sigma Models: Beyond Perturbation Theory - II
• Chiral Algebras of (0,2) Sigma Models: Beyond Perturbation Theory
• N=(0, 2) Deformation of (2, 2) Sigma Models: Geometric Structure, Holomorphic Anomaly and Exact Beta Functions
• Perturbative Aspects of Heterotically Deformed CP(N-1) Sigma Model. I
• On Isometry Anomalies in Minimal N=(0,1) and N=(0,2) Sigma Models
• New supersymmetric index of heterotic compactifications with torsion
• Twisted-Mass Potential on the Non-Abelian String World Sheet Induced by Bulk Masses
• Making supersymmetric connected N =(0,2) Sigma Models

Cited by in corpus (1)

• On Grassmannian Heterotic Sigma Model